An automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge–vertex connectivity. |
Videolar| Автоморфизм графа |  |
Автоморфизм графа есть отображение множества вершин на себя, сохраняющее смежность. Множество таких автоморфизмов образует вершинную группу графа или просто группу графа. Группа подстановок на множестве ребер называется реберной группой графа,... Википедия
23 февр. 2018 г. · A graph automorphism is simply an isomorphism from a graph to itself ... In layman terms, a graph automorphism is a symmetry of the graph. |
We begin with the classes of graphs first presented in Section 2. Theorem 4.1. The automorphism group of the complete graph on n vertices Aut(Kn) is isomorphic. |
11 мая 2014 г. · By definition, an automorphism is an isomorphism from G to G, while an isomorphism can have different target and domain. |
7 мая 2019 г. · An automorphism is the special case where the set E does not change. Automorphisms tell us about the symmetries of the graph. |
Observe that leaving a graph alone: that is, mapping every vertex to itself, is always an automorphism of any graph. We call this the trivial automorphism. |
15 мар. 2023 г. · The automorphisms of a graph G generate a group Γ(G) of permutations of vertices, which is called the group (or vertex group) of G, and a group ... |
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