A. V. Kostochka, X. Liu, R. Machado and O. Milenkovic,
Directed Intersection Representations and the Information Content of Digraphs, submitted.
[ https://arxiv.org/pdf/1901.06534.pdf
]

Z. Furedi, A. V. Kostochka, D. Mubayi and J. Verstraete,
Ordered and convex geometric trees with linear extremal function,
submitted.
[ https://arxiv.org/pdf/1812.05750.pdf
]

A. V. Kostochka, A. Raspaud, B. Toft, D. B. West and D. Zirlin,
Cut-edges and regular factors in regular graphs of odd degree, submitted.
[ https://arxiv.org/pdf/1806.05347.pdf
]

J. Balogh, A. V. Kostochka, and X. Liu,
Packing chromatic number of subdivisions of cubic graphs, to appear in Graphs and Combinatorics.
[ https://arxiv.org/pdf/1803.02537.pdf
]

J. Balogh, A. V. Kostochka, and X. Liu,
Cubic graphs with small independence ratio, to appear in Electronic J. Combinatorics.
[ https://arxiv.org/pdf/1708.03996.pdf
]

Z. Furedi, T. Jiang, A. V. Kostochka, D. Mubayi and J. Verstraete,
Extremal problems on ordered and convex geometric hypergraphs,
submitted.
[https://arxiv.org/pdf/1807.07057.pdf ]

Z. Furedi, T. Jiang, A. V. Kostochka, D. Mubayi and J. Verstraete,
Hypergraphs not containing a tight tree with a bounded trunk II: 3-trees with a trunk of size 2,
submitted.
[ https://arxiv.org/pdf/1807.05104.pdf ]

Z. Furedi, T. Jiang, A. V. Kostochka, D. Mubayi and J. Verstraete,
Hypergraphs not containing a tight tree with a bounded trunk,
to appear in SIDMA.
[ https://arxiv.org/pdf/1712.04081.pdf
]

Appeared

Z. Furedi, A. V. Kostochka, R. Luo and J. Verstraete,
Stability in the Erdos--Gallai Theorem on cycles and paths, II,
Discrete Math. 341 (2018), 1253--1263.
[ https://arxiv.org/pdf/1704.02866.pdf
]

A. Bernshteyn and A. Kostochka,
On differences between DP-coloring and list coloring,
Siberian Advances in Mathematics 21 (2018), No 2, 62--71
(in Russian), DOI: 10.17377/mattrudy.2018.21.202
[ https://arxiv.org/pdf/1705.04883.pdf
]

A. V. Kostochka and M. Yancey,
A Brooks-type result for sparse critical graphs, Combinatorica
38 (2018), 887--934.
[pdf ]

S. Kerdjoudj, A. V. Kostochka and A. Raspaud,
List star edge coloring of subcubic graphs,
Discuss. Math. - Graph Theory 38 (2018), 1037--1054.
[pdf ]

H.A. Kierstead, A. V. Kostochka, T. Molla and D. Yager,
An algorithmic answer to the Ore-type version of Dirac's question on disjoint cycles,
Springer Optimization and Its Applications,
V. 139, Springer 2018, 149--168.
[pdf ]

Z. Furedi, A. V. Kostochka, and R. Luo,
Extensions of a theorem of Erdos on nonhamiltonian graphs,
J. Graph Theory 89 (2018), 176--193.
[pdf ]

H. A. Kierstead, A. V. Kostochka, and A. McConvey,
A sharp Dirac-Erdos type bound for large graphs, CPC 27 (2018), 387--397.
[pdf ]

N. Alon, A. V. Kostochka, and C. Shikhelman,
Many T copies in H-free subgraphs of random graphs, J. of Combinatorics
9 (2018), 567--597.
[pdf ]

A. Bernshteyn and A. Kostochka,
Sharp Dirac's Theorem for DP-Critical Graphs, J. Graph Theory
88 (2018), 521--546.
[pdf ]

A. Bernshteyn, A. Kostochka and S. Pron,
On DP-coloring of graphs and multigraphs, Sib Math J. 58 (2017), No 1, 28--36.
[pdf ]

J. Balogh, A. V. Kostochka, and X. Liu,
Packing chromatic number of subcubic graphs,
Discrete Math. 341 (2018), 474--483.
[pdf ]

I. Choi, J. Kim, A. V. Kostochka, and A. Raspaud,
Strong edge-colorings of sparse graphs with large maximum degree,
Eur. J. Comb.
67 (2018), 21--39. [pdf ]

A. Bernshteyn, A. Kostochka and X. Zhu,
DP-colorings of graphs with high chromatic number,
European J. Comb. 65 (2017), 122--129.
[pdf ]

M. Chen, S.-J. Kim, A. Kostochka, D. West, and X. Zhu,
Decomposition of Sparse Graphs into Forests: The Nine Dragon Tree
Conjecture for k\le2, JCTB 122 (2017), 741--756.
[pdf ]

A. V. Kostochka, and J. Nesetril,
Adding edges to increase the chromatic number of a graph, CPC 25 (2016), 592--594.
[pdf ]

Z. Furedi, A. V. Kostochka, and R. Luo,
A stability version for a theorem of Erdos on nonhamiltonian graphs,
Discrete Math. 340 (2017), 2688--2690.
[pdf ]

O. V. Borodin, A. Ivanova and A. V. Kostochka,
Tight descriptions of 3-paths in normal plane maps,
J. Graph Th. 85 (2017), 115--132.
[pdf ]

H. A. Kierstead, A. V. Kostochka, T. Molla and E. Yeager,
Sharpening an Ore-type version of the Corradi-Hajnal Theorem,
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg 87 (2017), 299--335.
[pdf ]

A. V. Kostochka and D. Mubayi,
The structure of large intersecting families, PAMS 145 (2017), 2311--2321.
[pdf ]

H. A. Kierstead, A. V. Kostochka, and A. McConvey,
Strengthening theorems of Dirac and Erdos on disjoint cycles,
J. Graph Th. 85 (2017), 788--802.
[pdf ]

Z. Furedi, A. V. Kostochka, and J. Verstraete,
Stability in the Erdos--Gallai Theorem on cycles and paths,
JCTB 121 (2016), 197--228.
[pdf ]

H. A. Kierstead, A. V. Kostochka, and E. Yeager,
The (2k-1)-connected multigraphs with at most k-1 disjoint cycles,
Combinatorica 37 (2017), 77--86.
[pdf ]

N. Alon, A. Kostochka, B. Reiniger, D. West, and X. Zhu,
Coloring, sparseness, and girth,
Israel J. Math. 214 (2016), 315--331.
[pdf ]

J. Kim, A. V. Kostochka, and X. Zhu,
Improper coloring of sparse graphs with a given girth, II: Constructions,
J. Graph Th. 81 (2016), 403--413.
[pdf ]

A. V. Kostochka, B. Sudakov and J. Verstraete,
Cycles in triangle-free graphs of large chromatic number,
Combinatorica. 37 (2017), 481--494.
[pdf ]

A. Kostochka, A. McConvey, and D. Yager,
On a Packing Problem of Alon and Yuster,
Discrete Math. 339 (2016), 2785--2792
[pdf ]

A. V. Kostochka, D. Mubayi and J. Verstraete,
Turan problems and shadows II: trees,
JCTB 122 (2017), 457--478.
[pdf ]

H. A. Kierstead, A. V. Kostochka, and E. Yeager,
On the Corradi-Hajnal Theorem and a question of Dirac,
JCTB 122 (2017), 121--148.
[pdf ]

E. Gyori, A. Kostochka, A. McConvey, and D. Yager,
Toward Zak's conjecture on graph packing,
J. Combinatorics, 7 (2016),307--340.
[pdf ]

A. V. Kostochka, D. Mubayi and J. Verstraete,
Turan problems and shadows III: expansions of graphs, SIDMA
29 (2015), 868--876.
[pdf ]

A. V. Kostochka, D. Mubayi and J. Verstraete,
Turán problems and shadows I: Paths and cycles,
JCTA, 129 (2015),57–79.
[pdf ]

Z. Furedi, A. V. Kostochka and M. Kumbhat,
Choosability with separation of complete multipartite graphs and hypergraphs,
J. Graph Theory 76 (2014), 129–137.
[pdf ]

A. V. Kostochka, X. Li, W. Ruksasakchai, M. Santana, T. Wang and G. Yu,
Strong chromatic index of subcubic planar multigraphs,
Eur. J. Comb.
51 (2016),380–397.
[pdf ]

A. V. Kostochka and B. Reiniger,
The minimum number of edges in a 4-critical graph that is bipartite plus 3 edges,
Eur. J. Comb.
46 (2015), 89–94.
[pdf ]

J. Kim, A. V. Kostochka, and X. Zhu,
Improper coloring of sparse graphs with a given girth, I:
(0,1)-colorings of triangle-free graphs,
Eur. J. Comb.
42 (2014), 26–48.
[pdf ]

O. V. Borodin, A. V. Kostochka, B. Lidický and M. Yancey,
Planar 4-critical graphs with four triangles,
Eur. J. Comb.
41 (2014), 138--151.
[pdf ]

E. Gyori, A. Kostochka, A. McConvey, and D. Yager,
A list version of graph packing,
Discrete Math. 339 (2016), 2178--2185.
[pdf ]

A. Bernshteyn and A. Kostochka,
On the number of edges in a graph with no $(k+1)$-connected subgraphs,
Discrete Math. 339 (2016), 682--688.
[pdf ]

O.V. Borodin, A.O. Ivanova and A. V. Kostochka,
Every 3-polytope with minimum degree 5 has a 6-cycle with maximum degree at most 11.
Discrete Math. 315 (2014), 128--134.
[pdf ]

O.V. Borodin, A.O. Ivanova and A. V. Kostochka,
Describing faces in plane triangulations,
Discrete Math. 319 (2014), 47--61.
[pdf ]

A. V. Kostochka and J. Nesetril,
Adding edges to increase the chromatic number of a graph, CPC (2016), 592--594.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
A refinement of a result of Corradi and Hajnal,
Combinatorica 35 (2015), 497--512.
[pdf ]

A. V. Kostochka and M. Yancey,
Ore's Conjecture for k=4 and Gr\" otzsch Theorem,
Combinatorica, 34 (2014), 323--329.
[pdf ]

A. V. Kostochka and M. Yancey,
Ore's Conjecture on color-critical graphs is almost true,
J. Combin. Theory Ser. B, 109 (2014), 73--101.
[pdf ]

O. V. Borodin, A. O. Ivanova, T. Jensen, A. V. Kostochka and M. Yancey,
Describing 3-paths in normal plane maps, Discrete Math.
313 (2013), 2702--2711.
[pdf ]

A. V. Kostochka, D. Mubayi and J. Verstraete,
Hypergraph Ramsey Numbers: Triangles versus Cliques,
JCTA, 120 (2013), 1491--1507.
[pdf ]

O. V. Borodin, A. V. Kostochka, B. Lidický and M. Yancey,
Short proofs of coloring theorems on planar graphs,
Eur. J. Comb.
36 (2014), 314--321.
[pdf ]

A. V. Kostochka, K_{s,t} minors in (s+t)-chromatic graphs, II,
J. Graph Theory, 75 (2014), 377--386.
[pdf ]

J. Kim and A. V. Kostochka, Maximum hypergraphs without regular subgraphs,
Discuss. Math. Graph Theory, 34 (2014), 151--166.
[pdf ]

A. V. Kostochka and M. Yancey,
On coloring of sparse graphs, in: CSR 2013, A.A. Bulatov and A.M. Shur (Eds.):
Lecture Notes in Computer Science
7913 (2013), 224--234.
[pdf ]

K. Jao, A. V. Kostochka and D.B. West,
Decomposition of cartesian products of regular graphs into isomorphic
trees,
J. Combinatorics, 4 (2013), 469--490.
[pdf ]

J. Balogh, A. V. Kostochka, and A. Raigorodskii,
Coloring some finite sets in R^n,
Discuss. Math. Graph Theory, 33 (2013), 25--31. [pdf ]

J. Balogh, A. V. Kostochka, and A. Treglown,
On perfect packings in dense graphs,
Electronic J. Comb. 20 (2013), Issue 1, P 57.
[pdf ]

S.-J. Kim, A. V. Kostochka, D. B. West, H. Wu, and X. Zhu,
Decomposition of Sparse Graphs into Forests and a Graph with Bounded
Degree, J. Graph Theory 74 (2013), 369--391.
[pdf ]

P. Hamburger, A. V. Kostochka and C. Stocker,
A hypergraph version of a graph packing theorem by Bollobas and Eldridge,
J. Graph Theory 74 (2013), 222--235.
[pdf ]

O.V. Borodin, A. V. Kostochka, and M. Yancey,
On 1-improper 2-coloring of sparse graphs,
Discrete Math.
313 (2013), 2638--2649.
[pdf ]

O.V. Borodin and A. V. Kostochka,
Defective 2-colorings of sparse graphs,
JCTB 104 (2014), 72--80.
[pdf ]

A. V. Kostochka, D. Mubayi and J. Verstraete,
On independent sets in hypergraphs,
Random Structures and Algorithms
44 (2014), 224--239.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
Equitable list coloring of graphs with bounded degree,
J. Graph Theory 74 (2013), 309--334.
[pdf ]

A. V. Kostochka,
On almost (k-1)-degenerate (k+1)-chromatic graphs and hypergraphs,
Discrete Math.
313 (2013), 366--374. [pdf ]

A. V. Kostochka and K. Milans,
Coloring clean and K_4-free circle graphs,
Thirty Essays on Geometric Graph Theory (J. Pach, Ed.),
Springer, 2013, 399--414.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
Every 4-colorable graph with maximum degree 4 has an equitable
4-coloring, J. Graph Theory 71 (2012), 31--48.
[pdf ]

S. Akbari, J. Kim and A. V. Kostochka,
Harmonious Coloring of Trees with Large Maximum Degree,
Discrete Math. 312 (2012), 1633–1637.
[pdf ]

A. V. Kostochka, M. Kumbhat and T. Luczak,
Conflict-free colorings of uniform hypergraphs with few edges,
Combin. Probab. Comput. 21 (2012), 611–622.
[pdf ]

A. V. Kostochka and G. Yu,
Graphs containing every 2-factor,
Graphs Comb. 28 (2012), 687–716.
[pdf ]

A. V. Kostochka, L. Rabern and M. Stiebitz
Graphs with chromatic number close to maximum degree,
Discrete Math. 312 (2012), 1273–1281.
[pdf ]

P. Haxell, A. V. Kostochka and S. Thomasse,
Packing and Covering Triangles in K_4-free Planar Graphs,
Graphs Comb. 28(2012), 653–662.
[pdf ]

P. Haxell, A. V. Kostochka and S. Thomasse,
A stability theorem on fractional covering of triangles by
edges,
European J. Comb. 33 (2012), 799–806.
[pdf ]

A. V. Kostochka and N. Prince,
K_{s,t}-minors in graphs with given average degree, II,
Discrete Math. 312 (2012), 3517–3522.
[pdf ]

N. Alon and A. V. Kostochka,
Dense uniform hypergraphs have high list chromatic number,
Discrete Math. 312 (2012), 2119–2125.
[pdf ]

A. V. Kostochka and M. Yancey,
Large Rainbow Matchings in Edge-Colored Graphs,
Combin. Probab. Comput. 21 (2012), 255-263
[pdf ]

O.V. Borodin and A. V. Kostochka,
Vertex decompositions of sparse graphs into an
independent set
and a subgraph of maximum degree at most 1, Siberian J. of Math.
52 (2011), No 5, 1004–1010
(in Russian). [pdf ]

J. Balogh and A. V. Kostochka,
Large minors in graphs with a given stability number,
Discrete Math. 311 (2011), 2203–2215.
[pdf ]

N. Alon and A. V. Kostochka,
Hypergraph list coloring and Euclidean Ramsey Theory,
Random Structures Algorithms
39 (2011), 377–390.
[pdf ]

T. Boehme, A. V. Kostochka, and A. Thomason,
Minors in graphs with high chromatic number,
Combin. Probab. Comput. 20 (2011), 513–518.
[pdf ]

A. V. Kostochka, M. Stiebitz, and D. R. Woodall,
Ohba's conjecture for graphs with independence number five,
Discrete Math. 311 (2011), 996–1005.
[pdf ]

A. V. Kostochka and C. Stocker,
Graphs with maximum degree 5 are acyclically 7-colorable,
Ars Math. Contemp. 4 (2011), 153–164.
[pdf ]

A. V. Kostochka, M. Kumbhat and V. Rödl,
Coloring uniform hypergraphs with small edge degrees,
Fete of combinatorics and computer science, 213–238, Bolyai Soc. Math. Stud., 20,
János Bolyai Math. Soc., Budapest, 2010.
[pdf ]

A. V. Kostochka,
On K_{s,t} minors in (s+t)-chromatic graphs, J. Graph Theory 65 (2010), 343–350.
[pdf ]

A. V. Kostochka, D. Kral, J.-S. Sereni and M. Stiebitz,
Graphs with bounded tree-width and large odd-girth are almost bipartite,
J. Combin. Theory Ser. B 100 (2010), 554–559.
[pdf ]

T. Boehme, A. V. Kostochka, and A. Thomason,
Hadwiger numbers and over-dominating colourings,
Discrete Math. 310 (2010), 2662–2665.
[pdf ]

A. V. Kostochka and N. Prince,
Dense graphs have K_{3,t} minors, Discrete Math. 310 (2010), 2637–2654.
[pdf ]

A. V. Kostochka, P. Pudlak and V. Rödl,
Some constructive bounds on Ramsey numbers,
J. Combin. Theory Ser. B 100 (2010), 439–445.
[pdf ]

H. A. Kierstead, A. V. Kostochka, M. Mydlarz, and E. Szemerédi,
A fast algorithm for equitable coloring, Combinatorica 30 (2010), 217–224.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
Equitable versus nearly equitable coloring and the Chen-Lih-Wu conjecture,
Combinatorica 30 (2010), 201–216.
[pdf ]

A. V. Kostochka and V. Rödl,
Constructions of sparse uniform hypergraphs with high chromatic number,
Random Structures Algorithms 36 (2010), 46–56.
[pdf ]

H. A. Kierstead, A. V. Kostochka, and G. Yu,
Extremal graph packing problems: Ore-type versus Dirac-type,
Surveys in combinatorics 2009, 113–135,
London Math. Soc. Lecture Note Ser., 365, Cambridge Univ. Press, Cambridge, 2009.
[pdf ]

A. V. Kostochka and C. Stocker,
A new bound on the domination number of connected cubic graphs,
Sib. Elektron. Mat. Izv. 6 (2009), 465–504.
[pdf ]

A. V. Kostochka, L. Ozkahya, and D. R. Woodall,
A Brooks-type bound for squares of K_4-minor-free graphs,
Discrete Math. 309 (2009), 6572–6584.
[pdf ]

A. V. Kostochka and M. Kumbhat,
Coloring uniform hypergraphs with few edges,
Random Structures Algorithms 35 (2009), 348–368.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
Efficient graph packing via game colouring,
Combin. Probab. Comput. 18 (2009), 765–774.
[pdf ]

O.V. Borodin, A. O. Ivanova, A. V. Kostochka, and N. N. Sheikh,
Decompositions of quadrangle-free planar graphs,
Discuss. Math. Graph Theory 29 (2009), 87–99.
[pdf ]

J. Balogh, A. V. Kostochka, N. Prince and M. Stiebitz,
The Erdős-Lovász Tihany conjecture for quasi-line graphs,
Discrete Math. 309 (2009), no. 12, 3985–3991.
[pdf ]

N. Alon, J. Balogh, A. V. Kostochka, and W. Samotij,
Sizes of induced subgraphs of Ramsey graphs,
Combin. Probab. Comput. 18 (2009), 459–476.
[pdf ]

T. Boehme and A. V. Kostochka,
Many Disjoint Dense Subgraphs versus Large k-connected Subgraphs in
Large Graphs with Given Edge Density,
Discrete Math. 309 (2009), 997–1000.
[pdf ]

A. V. Kostochka and B.Y. Stodolsky,
An upper bound on the domination number of n-vertex connected cubic graphs,
Discrete Math. 309 (2009), 1142–1162.
[pdf ]

N. Alon and A. V. Kostochka,
Induced subgraphs with distinct sizes, Random Structures Algorithms 34 (2009), 45–53.
[pdf ]

O.V. Borodin, A. O. Ivanova, A. V. Kostochka, and N. N. Sheikh,
Planar graphs decomposable into a forest and a matching,
Discrete Math. 309 (2009), 277–279.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
Ore-type versions of Brooks' theorem,
J. Combin. Theory Ser. B 99 (2009), 298–305.
[pdf ]

A. V. Kostochka and G. Yu,
Ore-type conditions implying 2-factors consisting of short cycles,
Discrete Math. 309 (2009).
[pdf ]

O.V. Borodin, A. V. Kostochka, N. N. Sheikh, and G. Yu,
M-degrees of quadrangle-free planar graphs. J. Graph Theory 60 (2009), 80–85.
[pdf ]

O.V. Borodin, S. G. Hartke, A. O. Ivanova, A. V. Kostochka, and D. B. West,
Circular (5,2)-coloring of sparse graphs. Sib. Èlektron. Mat. Izv. 5 (2008), 417–426.

A. V. Kostochka and D. Mubayi, When is an almost monochromatic K_4 guaranteed?
Combin. Probab. Comput. 17 (2008), 823–830.
[pdf ]

A. V. Kostochka and G. Yu,
Packing of graphs with small product of sizes, J. Combin. Theory Ser. B 98 (2008), 1411–1415.
[pdf ]

H. Kaul, A. V. Kostochka, and G. Yu,
On a graph packing conjecture by Bollobas, Eldridge and Catlin,
Combinatorica 28 (2008), 469–485.
[pdf ]

L. S. Chandran, A. V. Kostochka, and J. K. Raju,
Hadwiger number and the Cartesian product of graphs. Graphs Combin. 24 (2008), 291–301.
[pdf ]

J. Balogh and A. V. Kostochka,
On 2-detour subgraphs of the hypercube, Graphs Combin. 24 (2008), 265–272.
[pdf ]

A. V. Kostochka and M. Stiebitz, Partitions and edge colourings of multigraphs,
Electron. J. Combin. 15 (2008), , Note 25, 4 pp
[pdf ]

O.V. Borodin, A. O. Ivanova, A. V. Kostochka, and N. N. Sheikh,
Minimax degrees of quasiplanar graphs with no short cycles other than triangles,
Taiwanese J. Math. 12 (2008), 873–886.
[pdf ]

O.V. Borodin, A. V. Kostochka, N. N. Sheikh, and G. Yu,
Decomposing a planar graph with girth 9 into a forest and a matching,
European J. Combin. 29 (2008), 1235–1241.
[pdf ]

A. V. Kostochka and G. Yu,
Ore-type degree conditions for a graph to be $H$H-linked,
J. Graph Theory 58 (2008), 14–26.
[pdf ]

A. V. Kostochka and N. Prince,
K_{s,t}-minors in graphs with given average degree,
Discrete Math. 308 (2008), 4435–4445.
[pdf ]

A. V. Kostochka and G. Yu,
Minimum degree conditions for H-linked graphs,
Discrete Appl. Math. 156 (2008), 1542–1548.
[pdf ]

A. V. Kostochka and X. Zhu, Adapted list coloring of graphs and hypergraphs,
SIAM J. Discrete Math. 22 (2008), 398–408.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
A Short Proof of the Hajnal-Szemeredi Theorem on Equitable Coloring,
Combin. Probab. Comput. 17 (2008), 265–270.
[pdf ]

H. A. Kierstead and A. V. Kostochka,
An Ore-type Theorem on Equitable Coloring,
J. Combin. Theory Ser. B 98 (2008), 226–234.
[pdf ]

B. Bollobas, A. V. Kostochka, and K. Nakprasit,
Packing d-degenerate graphs,
J. Combin. Theory Ser. B 98 (2008), 85–94.
[pdf ]

O.V. Borodin, A. O. Ivanova, A. V. Kostochka, and N. N. Sheikh,
Minimax degrees of quasiplane graphs without 4-faces, Sib. Elektron. Mat. Izv.
4 (2007), 435–439.

P. Hamburger, P. Haxell, and A. V. Kostochka,
On Directed Triangles in Digraphs,
Electron. J. Combin. 14 (2007), Note 19, 9 pp.
[pdf ]

A. V. Kostochka and G. Yu,
An Ore-type analogue of the Sauer-Spencer Theorem,
Graphs Combin. 23 (2007), 419–424.
[pdf ]

N. Arizumi, P. Hamburger, and A. V. Kostochka,
On k-detour subgraphs of hypercubes,
J. Graph Theory 57 (2008), 55–64.
[pdf ]

H. Kaul and A. V. Kostochka,
Extremal Graphs for a Graph Packing Theorem of Sauer
and Spencer, Combin. Probab. Comput. 16 (2007), 409–416.
[pdf ]

N. Eaton, Z. Furedi, A. V. Kostochka, and J. Skokan,
Tree representations of graphs. European J. Combin. 28 (2007), 1087–1098.
[pdf ]

A. V. Kostochka and G. Yu,
Ore-type graph packing problems,
Combinatorics, Probability and Computing, 16
(2007),
167-169. [pdf ]

R. Gould, A. V. Kostochka, and G. Yu,
On minimum degree implying that a graph is H-linked,
SIAM J. of
Discrete Mathematics, 20 (2006), 829-840.
[pdf ]

A. V. Kostochka and V. Rödl,
On Ramsey numbers of uniform hypergraphs with given maximum degree,
Journal of Combinatorial Theory, Series A, 113},
(2006), 1555-1564. [pdf ]

K. Kawarabayshi, A. V. Kostochka, and G. Yu,
On sufficient degree conditions for a graph to be k-linked,
Combinatorics, Probability and Computing, 15
(2006), 685-694. [pdf ]

A. V. Kostochka,
Color-critical graphs and hypergraphs with few edges: a
survey, in: More sets, graphs and numbers,
Bolyai Society Mathematical Studies, 15
(2006),
Springer, 175-197. [pdf ]

N. Alon, G. Brightwell, H. A. Kierstead, A. V. Kostochka,
and P. Winkler,
Dominating Sets in k-Majority Tournaments,
Journal of Combinatorial Theory, Series B, 96
(2006), 374-387. [pdf ]

A. V. Kostochka and D.B. West,
Chvatal's Condition Cannot Hold for Both a Graph and
Its Complement,
Discussiones Mathematicae -- Graph Theory
26 (2006), 73-76. [pdf ]

A. V. Kostochka and N. Sheikh,
On the Induced Ramsey Number IR(P_3,H),
Algorithms and Combinatorics26
(2006), 155-167, Springer. [pdf ]

O. V. Borodin, A. O. Ivanova, and A. V. Kostochka,
Oriented $5$-coloring of vertices of sparse graphs,
Discrete Analyzis and Operation Research, 13
(2006),
No 1, 16-32 (in Russian).

M. Cropper, D. Greenwell, A.J.W. Hilton, and A. V. Kostochka,
The domination number of cubic Hamiltonian graphs,
AKCE International Journal of Graph Theory and Combinatorics,
2 (2005), 137-144. [pdf ]

Z. Furedi, A. V. Kostochka, R. Skrekovski,
M. Stiebitz, and
D. B. West,
Nordhaus-Gaddum-type theorems for decomposition into many parts,
Journal of Graph Theory,50
(2005), 273-292. [pdf ]

A. V. Kostochka and B.Y. Stodolsky,
On domination in connected cubic graphs,
Discrete Mathematics 304 (2005), 45-50.
[pdf ]

A. V. Kostochka and G. Yu,
An extremal problem for H-linked graphs,
Journal of Graph Theory,50
(2005), 321-339. [pdf ]

A. V. Kostochka and K. Nakprasit,
On equitable $\Delta$-coloring of graphs with low average degree,
Theor. Comp. Science, 349 (2005),
82-91. [pdf ]

B. Bollobas, A. V. Kostochka, and K. Nakprasit,
On two conjectures on packing of graphs,
Combinatorics, Probability and Computing14 (2005),
723-736. [pdf ]

A. V. Kostochka and J. Verstraete,
Even cycles in hypergraphs,
Journal of Combinatorial Theory, Series B, 94
(2005), 173-182. [pdf ]

A. V. Kostochka and
D. R. Woodall,
Irreducible hypergraphs for Hall-type conditions,
and arc-minimal digraph expanders,
European J. of Combinatorics, 26
(2005), 1119-1138. [pdf ]

A. V. Kostochka, K. Nakprasit, and S. Pemmaraju,
On Equitable Coloring of $d$-Degenerate Graphs,
SIAM J. of
Combinatorics,19 (2005), 83-95. [pdf ]

A. N. Glebov, A. V. Kostochka, and V. A. Tashkinov,
Smaller planar triangle-free graphs that are not 3-list-colorable,
Discrete Mathematics290 (2005), 269-274.
[pdf ]

T. Boehme and A. V. Kostochka,
Disjoint K_r-minors in large graphs with given average degree,
European J. of Combinatorics, 26
(2005), 289-292. [pdf ]

M. Albertson, A. V. Kostochka, and
D. B. West,
Precoloring extensions of Brooks' Theorem ,
SIAM J. of
Combinatorics,18 (2004), 542-553. [pdf ]

A. V. Kostochka and
V. Rödl,
On graphs with small Ramsey numbers, II
Combinatorica,24 (2004), 389-401.
[pdf ]

P. N. Balister, A. V. Kostochka, Hao Li, and R. H. Schelp,
Balanced Edge Colorings,
Journal of Combinatorial Theory, Series B, 90
(2004), 3-20. [pdf ]

O. V. Borodin,
S.-J. Kim, A. V. Kostochka, and
D. B. West,
Homomorphisms from sparse graphs with large girth
Journal of Combinatorial Theory, Series B,90
(2004), 147-159. [pdf ]

A. V. Kostochka,
Coloring uniform hypergraphs with few colors
Random Structures & Algorithms,24 (2004),
1-10. [pdf ]

A. V. Kostochka and V.A. Tashkinov,
Decomposing graphs into long paths,
Order,20
(2003), 239-253. [pdf ]

A. V. Kostochka,
Coloring intersection graphs of geometric figures with given
clique number,
in: Towards a Theory of Geometric Graphs (J. Pach Ed.),
AMS, Providence, Rhode Island, 127-138, 2003. [pdf ]

A. V. Kostochka and B. Sudakov,
On Ramsey numbers of sparse graphs
CPC12 (2003),
627-641. [pdf ]

A. V. Kostochka and K. Nakprasit,
Equitable colorings of $k$-degenerate graphs
CPC12 (2003),
53-60. [pdf ]

A. V. Kostochka, M. J. Pelsmajer,
and D. B. West,
A list analogue of equitable coloring
Journal of Graph Theory,44
(2003), 166-177. [pdf ]

Pemmaraju, S. V.; Nakprasit, K.; Kostochka, A. V.
Equitable colorings with constant number of colors.
Proceedings of the Fourteenth Annual ACM-SIAM Symposium on Discrete
Algorithms (Baltimore, MD, 2003), 458–459, ACM, New York, 2003.

A. V. Kostochka and
M. Stiebitz,
A new lower bound on the number of edges in
colour-critical graphs,
Journal of Combinatorial Theory, Series B,87
(2003), 374-402. [pdf ]

R. Faudree, R. Gould, A. V. Kostochka, L. Lesniak,
I. Schiermeyer, and A. Saito,
Degree conditions for k-ordered hamiltonian graphs,
Journal of Graph Theory},43
(2003), 199-210.
[pdf ]

O. V. Borodin, A. V. Kostochka,
A. Raspaud and E. Sopena,
On the minimum number of colours in an
acyclic k-strong coloring of maps on surfaces,
Matematicheskie Zametki, 72, #1 (2002),
35-37 (in Russian).
Translation in Math. Notes 72, no. 1-2, 31–33
[pdf ]

D. Fon-Der-Flaass, A. V. Kostochka, J. Nesetril, A. Raspaud, and
E. Sopena,
Nilpotent families of endomorphisms of (P(V)^+,U),
Journal of Combinatorial Theory, Series B,86
(2002), 100-108. [pdf ]

O. V. Borodin, D. Fon-Der-Flaass, A. V. Kostochka,
A. Raspaud and E. Sopena,
Acyclic list 7-coloring of planar graphs,
Journal of Graph Theory,40 (2002), 83-90.
[pdf ]

A. V. Kostochka,
Transversals in uniform hypergraphs with property (p,2),
Combinatorica,22 (2002), 275-285.
[pdf ]

A. V. Kostochka and
D. R. Woodall,
Total choosability of multicircuits I,
Journal of Graph Theory},40 (2002), 26-43.
[pdf ]

A. V. Kostochka and
D. R. Woodall,
Total choosability of multicircuits II,
Journal of Graph Theory},40 (2002), 44-67.
[pdf ]

A. V. Kostochka,
On a theorem by Erdos, Rubin, and Taylor
[ps],
Electronic J. of Comb.9 (2002),
# N9. [pdf ]

A. V. Kostochka and
J. Nesetril,
Colouring relatives of intervals on the plane, II:
intervals and rays in two directions,
European Journal of Combinatorics23 (2002),
37-41.
[pdf ]

A. V. Kostochka,
Equitable colorings of outerplanar graphs,
Discrete Mathematics258 (2002),
373-377. [pdf ]

A. V. Kostochka and
M. Stiebitz,
A list version of Dirac's theorem on the number of edges
in colour-critical graphs,
J. Graph Theory39 (2002),
165-167.
[pdf ]

A. V. Kostochka and
V. Rödl,
On graphs with small Ramsey numbers,
J. Graph Theory37 (2001), no. 4,
198-204.
[pdf ]

A. V. Kostochka and
D. R. Woodall
,
Choosability conjectures and multicircuits,
Discrete Mathematics240 (2001),
123-143.
[pdf ]

A. V. Kostochka and
D. R. Woodall
, Density conditions for panchromatic colourings of
hypergraphs,
Combinatorica21 (2001), 515-541.
[pdf ]

A. V. Kostochka and
D. R. Woodall
,
Sparse sets in the complements of graphs with given
girth,
Discrete Mathematics233 (2001),
163-174.
[pdf ]

A. V. Kostochka,
J. Nesetril, and
P. Smolikova,
Coloring and homomorphisms of degenerate and
bounded degree graphs,
Discrete Mathematics233 (2001),
257-276.
[pdf ]

A. V. Kostochka,
D. Mubayi,
V. Rödl, and
P. Tetali,
On the chromatic number of set systems,
Random Struct. & Algorithms19 (2001), no. 2,
87-98.
[pdf ]

M. Alzohairi, A. V. Kostochka, and
I. Rival,
The pagenumber of spherical lattices is unbounded,
Arab Journal of Math. Sciences 7 (2001), 79-82.
[pdf
]

A. V. Kostochka and
M. Stiebitz,
On the number of edges in
colour-critical graphs and hypergraphs,
Combinatorica20 (2000), 521-530. [pdf
]

A. V. Kostochka and
D. R. Woodall
,
On the number of edges in hypergraphs critical
with respect to strong colourings,
European Journal of Combinatorics21 (2000),
249-255. [pdf
]

A. A. Ageev and A. V. Kostochka,
Vertex set partitions preserving conservativeness,
J. of Combin. Theory ( B) 80 (2000),
202-217. [pdf
]

A. V. Kostochka and I. G. Perepelitsa,
Colouring triangle-free intersection graphs of
boxes on the plane,
Discrete Mathematics220 (2000),
243-249. [pdf
]

B. Bollobas, A. V. Kostochka, and R. H. Schelp,
Local and Mean Ramsey Numbers for Trees,
J. of Combin. Theory ( B) 79 (2000),
100 - 103. [pdf
]

O. V. Borodin, A. V. Kostochka,
A. Raspaud, and
E. Sopena,
Acyclic k-Strong Coloring of Maps on Surfaces,
Mathematical Notes, 67
(2000), Nos. 1-2, 29-35. [pdf
]

O. V. Borodin, A. V. Kostochka, and
B. Toft,
Variable degeneracy: extensions of Brooks'
and Gallai's theorems,
Discrete Mathematics214 (2000), 101-112. [pdf
]

G. Gutin,
A. V. Kostochka, and
B. Toft,
On the Hajos number of graphs,
Discrete Mathematics213 (2000), 153-161. [pdf
]

A. V. Kostochka,
Extremal problems on Delta-systems,
in: ``Numbers, Information and Complexity'',
Kluwer, 2000, 143-150. [pdf
]

W. A. Deuber and A. V. Kostochka,
On degrees of vertices in paradoxical trees,
Discrete Mathematics212 (2000), 53-60. [pdf
]

A. V. Kostochka and
D. B. West,
Every outerplanar graph is the union of two interval graphs,
Congressus Numerantium,139 (1999), 5-8.

A. V. Kostochka,
V. Rödl, and
L. A. Talysheva,
On systems of small sets with no large $\Delta$-subsystems,
Combin. Prob. Comput.8 (1999), no. 3, 265-268. [pdf
]

D. G. Fon-Der-Flaass, A. V. Kostochka, and
D. R. Woodall
,
Transversals in uniform hypergraphs with property~$(7,2)$,
Discrete Mathematics207 (1999),
277-284
. [pdf
]

O. V. Borodin, A. V. Kostochka, and
D. R. Woodall
, Acyclic colourings of planar graphs with large girth,
The Journal of the London Math. Society,60 (1999), 344-352. [pdf
]

A. V. Kostochka and
J. Nesetril,
Properties of Descartes' construction of
triangle-free graphs with high chromatic number,
Combin. Prob. Comput.8 (1999), 467-472. [pdf
]

O. V. Borodin, A. V. Kostochka,
A. Raspaud, and
E. Sopena,
Acyclic colouring of 1-planar graphs,
Diskretnyi Analiz i Issledovanie Operacii, Series 1,
6 (1999), no 4, 20-35.

N. Alon,
P. Hamburger, and A. V. Kostochka,
Regular honest graphs, isoperimetric numbers
and bisection of weighted graphs,
European Journal of Combinatorics20 (1999), 469-481.[pdf
]

A. V. Kostochka,
T. Luczak, G. Simonyi, and
E. Sopena,
On the minimum number of edges
giving maximum oriented chromatic number,
DIMACS Series in Discrete Mathematics and
Theoretical Computer Science,
Vol. 49 (1999),
179-182.

P. Hamburger, A. V. Kostochka, and A. Sidorenko,
Hypercube subgraphs with local detours,
J. Graph Theory30 (1999),
101-111.[pdf
]

A. V. Kostochka and
M. Stiebitz,
Excess in colour-critical graphs,
Bolyai Society Mathematical Studies 7 (1999), 87-99.

A. V. Kostochka and
L. A. Talysheva,
The dimension of interior levels of the Boolean lattice, II,
Order 15 (1998), 377-383

A. Kostochka and
V. Rödl,
On large systems of sets with no large weak $\Delta$--subsystems,
Combinatorica18 (1998), 235-240.
[pdf
]

A. Kostochka and
V. Rödl,
Partial Steiner systems and matchings in hypergraphs,
Random Struct. & Algorithms13 (1998),
335-347. [pdf
]

A. Kostochka, V. D. Mazurov, and
L. Y. Saveliev,
The number of $q$-ary words with restrictions
on the length of the
maximal run,
Discrete Math. and its Appl. 8 (1998),
No 2, 109-118. [pdf
]

A. V. Kostochka and
M. Stiebitz,
Colour-critical graphs with few edges,
Discrete Mathematics191 (1998),
125-137
. [pdf
]

O. V. Borodin, A. V. Kostochka, and
D. R. Woodall
,
On kernel-perfect orientations of line graphs,
Discrete Mathematics191 (1998),
45-49
.[pdf
]

A. V. Kostochka and N. I. Glebov,
On independent domination number of graphs with
given minimum degree,
Discrete Mathematics188 (1998),
261-266. [pdf
]

A. V. Kostochka,
The dimension of neighboring levels of the
Boolean lattice,
Order14 (1998), 267-268. [pdf
]

A. V. Kostochka and
J. Nesetril,
Coloring relatives of intervals on the plane, I:
chromatic number versus girth,
European Journal of Combinatorics19 (1998), 103-110. [pdf
]

O. V. Borodin, A. V. Kostochka, and
D. R. Woodall
,
Total colourings of planar graphs with large girth,
European Journal of Combinatorics19 (1998), 19-24. [pdf
]

O. V. Borodin, A. V. Kostochka, and
D. R. Woodall
,
List edge and list total colourings of multigraphs, J. Combin. Theory Ser. B 71 (1997),
184–204. [pdf
]

O. V. Borodin, A. V. Kostochka, and
D. R. Woodall
,
Total colorings of planar graphs with large maximum degree, J. Graph Theory 26 (1997),
53–59. [pdf
]

T. Böhme, H. J. Broersma, F. Göbel, A. V. Kostochka, and M. Stiebitz,
Spanning trees with pairwise nonadjacent endvertices. Discrete Math. 170 (1997),
219–222. [pdf
]

W. A. Deuber, P. Erdős, D. S. Gunderson, A. V. Kostochka, and A. G. Meyer,
Intersection statements for systems of sets, J. Combin. Theory Ser. A 79 (1997),
118–132. [pdf
]

A. V. Kostochka and D. B. West,
Total interval number for graphs with bounded degree, J. Graph Theory 25 (1997),
79–84. [pdf
]

A. A. Ageev, A. V. Kostochka and Z. Szigeti,
A characterization of Seymour graphs, J. Graph Theory 24 (1997),
357–364. [pdf
]

A. V. Kostochka, E. Sopena and X. Zhu,
Acyclic and oriented chromatic numbers of graphs,
J. Graph Theory 24 (1997), 331–340. [pdf
]

A. V. Kostochka and J. Kratochvíl, Covering and coloring polygon-circle graphs,
Discrete Math. 163 (1997), 299–305. [pdf
]

E. Györi, A. V. Kostochka, and T. Łuczak,
Graphs without short odd cycles are nearly bipartite,
Discrete Math. 163 (1997), 279–284. [pdf
]

A. V. Kostochka,
A bound of the cardinality of families not containing Δ-systems.
The mathematics of Paul Erdős, II, 229–235, Algorithms Combin., 14, Springer, Berlin, 1997.

A. V. Kostochka,
An intersection theorem for systems of sets,
Proceedings of the Seventh International Conference on Random Structures and
Algorithms (Atlanta, GA, 1995),
Random Structures Algorithms 9 (1996), 213–221. [pdf
]

W. A. Deuber, A. V. Kostochka, and H. Sachs,
A very short proof of Dirac's theorem on the number of edges in chromatically critical
graphs (Russian), Diskret. Anal. Issled. Oper. 3 (1996), no. 4, 28–34, 95.

A. V. Kostochka, M. Stiebitz, and B. Wirth,
The colour theorems of Brooks and Gallai extended,
Discrete Math. 162 (1996), 299–303. [pdf
]

A. V. Kostochka,
The total chromatic number of any multigraph with maximum degree five is at most seven,
Discrete Math. 162 (1996), 199–214. [ pdf ]

A. V. Kostochka,
The number of spanning trees in graphs with a given degree sequence,
Proceedings of the Sixth International Seminar on Random Graphs and
Probabilistic Methods
in Combinatorics and Computer Science, ''Random Graphs '93'' (Poznań, 1993),
Random Structures Algorithms 6 (1995), 269–274.
[pdf
]

M. Axenovich, D. Fon-Der-Flaass, and A. V. Kostochka,
On set systems without weak 3-Δ-subsystems,
14th British Combinatorial Conference (Keele, 1993),
Discrete Math. 138 (1995), 57–62. [pdf
]

A. V. Kostochka,
The 7/5-conjecture strengthens itself,
J. Graph Theory 19 (1995), 65–67. [pdf
]

G. Brightwell, H. Kierstead, A. V. Kostochka, and W. T. Trotter,
The dimension of suborders of the Boolean lattice,
Order 11 (1994), 127-134. [pdf
]

A. V. Kostochka,
List edge chromatic number of graphs with large girth,
Discrete Math. 101 (1992), 189-201. [pdf
]

A. V. Kostochka, Lower bound of the Hadwiger number of graphs by
their average degree. Combinatorica 4 (1984), 307–316.
[pdf
]

A. V. Kostochka,
On the minimum of the Hadwiger number for graphs with
given average degree,
Metody Diskret. Analiz., 38 (1982),
Novosibirsk, 37--58, in Russian;
English translation: AMS Translations (2), 132 (1986), 15-32.
[pdf]

A. V. Kostochka, Degree, girth and chromatic number,
Combinatorics, Proceedings of the Fifth Hungarian Colloquium,
Keszthely (1976), North-Holland, Amsterdam, 1978, 679--696.
[pdf
]