option for subquiver representation. Applying AsSubquiver = true insures that the matrix representation of the subquiver is the same size as the matrix original quiver. If false, then the subquiver is returned as a standalone quiver represented by only the vertices and arrows comprising the subquiver.
i1 : subquivers(bipartiteQuiver(2, 2), Format=>"quiver", AsSubquiver=>true)
o1 = {ToricQuiver{flow => {1, 0, 0, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, 0, 1, 0}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 1, 0, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, 0, 0, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 0, 1, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {0, -1, 1, 0}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 0, 0, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {0, -1, 0, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 0, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-2, 0, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 0, 1, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -1, 2, 0}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 1, 1, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -1, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 0, 0, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -1, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 1, 0, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -1, 0, 2}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 0, 1, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {0, -2, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 1, 0} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-2, -1, 2, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 0, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-2, -1, 1, 2}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 0, 1, 1} },
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -2, 2, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {0, 1, 1, 1} }}
IncidenceMatrix => | -1 -1 0 0 |
| 0 0 -1 -1 |
| 1 0 1 0 |
| 0 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}, {1, 3}}
weights => {-1, -2, 1, 2}
o1 : List
|
i2 : subquivers(bipartiteQuiver(2, 2), Format=>"quiver", AsSubquiver=>false)
o2 = {ToricQuiver{flow => {1} }, ToricQuiver{flow => {1}
IncidenceMatrix => | -1 | IncidenceMatrix =>
| 1 |
Q0 => {0, 1} Q0 => {0, 1}
Q1 => {{0, 1}} Q1 => {{0, 1}}
weights => {-1, 1} weights => {-1, 1}
------------------------------------------------------------------------
}, ToricQuiver{flow => {1} },
| -1 | IncidenceMatrix => | -1 |
| 1 | | 1 |
Q0 => {0, 1}
Q1 => {{0, 1}}
weights => {-1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1} }, ToricQuiver{flow => {1, 1}
IncidenceMatrix => | -1 | IncidenceMatrix =>
| 1 |
Q0 => {0, 1}
Q1 => {{0, 1}} Q0 => {0, 1, 2}
weights => {-1, 1} Q1 => {{0, 1}, {0,
weights => {-2, 1,
------------------------------------------------------------------------
}, ToricQuiver{flow => {1, 1} },
| -1 -1 | IncidenceMatrix => | -1 0 |
| 1 0 | | 0 -1 |
| 0 1 | | 1 1 |
Q0 => {0, 1, 2}
2}} Q1 => {{0, 2}, {1, 2}}
1} weights => {-1, -1, 2}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1} },
IncidenceMatrix => | -1 0 |
| 0 -1 |
| 0 1 |
| 1 0 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 3}, {1, 2}}
weights => {-1, -1, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1} },
IncidenceMatrix => | -1 0 |
| 0 -1 |
| 1 0 |
| 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {1, 3}}
weights => {-1, -1, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1} },
IncidenceMatrix => | -1 0 |
| 0 -1 |
| 1 1 |
Q0 => {0, 1, 2}
Q1 => {{0, 2}, {1, 2}}
weights => {-1, -1, 2}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1} },
IncidenceMatrix => | -1 -1 |
| 1 0 |
| 0 1 |
Q0 => {0, 1, 2}
Q1 => {{0, 1}, {0, 2}}
weights => {-2, 1, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 1} },
IncidenceMatrix => | -1 -1 0 |
| 0 0 -1 |
| 1 0 1 |
| 0 1 0 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 2}}
weights => {-2, -1, 2, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 1} },
IncidenceMatrix => | -1 -1 0 |
| 0 0 -1 |
| 1 0 0 |
| 0 1 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {0, 3}, {1, 3}}
weights => {-2, -1, 1, 2}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 1} },
IncidenceMatrix => | -1 0 0 |
| 0 -1 -1 |
| 1 1 0 |
| 0 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 2}, {1, 2}, {1, 3}}
weights => {-1, -2, 2, 1}
------------------------------------------------------------------------
ToricQuiver{flow => {1, 1, 1} }}
IncidenceMatrix => | -1 0 0 |
| 0 -1 -1 |
| 0 1 0 |
| 1 0 1 |
Q0 => {0, 1, 2, 3}
Q1 => {{0, 3}, {1, 2}, {1, 3}}
weights => {-1, -2, 1, 2}
o2 : List
|
The object AsSubquiver is a symbol.