This class represents simple graphs. This class extends HyperGraph and hence inherits all HyperGraph methods.





Like hypergraphs, graphs are associated with a polynomial ring whose variables are the vertices of the graph. Isolated vertices should not appear in the edge list. As a consequence, the edgeIdeal of a graph is always generated by quadratics. The fact that isolated vertices are not edges in a graph affects the output of the methods connectedComponents, numConnectedComponents, and isConnected. One can use connectedGraphComponents, numConnectedGraphComponents, and isConnectedGraph to ensure that each isolated vertex is counted as a separate connected component.
The object Graph is a type, with ancestor classes HyperGraph < HashTable < Thing.