Assertion: graph | /r/HasProperty | isomorphic
Facets:
value: despite their different looking drawings
type: OTHER
value: to each other
type: OTHER
Source sentences:
text: It asks whether two graphs are isomorphic.
text: If an isomorphism exists between two graphs, then the graphs are called isomorphic and denoted as G ≃ H {\displaystyle G\simeq H} .
text: A labeled vertex is a vertex that is associated with extra information that enables it to be distinguished from other labeled vertices; two graphs can be considered isomorphic only if the correspondence between their vertices pairs up vertices with equal labels.
text: When vertices are labeled, graphs that are isomorphic to each other (but with different vertex orderings) are counted as separate objects.
text: In contrast, when the vertices are unlabeled, graphs that are isomorphic to each other are not counted separately.
text: 1 |=m and |V 2 |=n, is denoted K m,n ; every two graphs with the same notation are isomorphic.
text: They are also one of the exceptional cases of the Whitney graph isomorphism theorem: in general, graphs with isomorphic line graphs are themselves isomorphic, with the exception of the claw and the triangle K 3 .
text: The two graphs shown below are isomorphic, despite their different looking drawings.
text: The two graphs shown below are isomorphic, despite their different looking drawings.
text: If an isomorphism exists between two graphs, then the graphs are called isomorphic and we write G ≃ H {\displaystyle G\simeq H} .