Question

Difference between isomorphism of graphs and automorphism

Answer 1

Since not all the isomorphism from the graph to itself is automorphism. ... For example, for a graph with vertices, edges from some scalar theory, permutation of vertices is equivalent to relabeling of vertices, hence does not change the graph structure. The same goes to permutation of edges.

Answer 2

Since not all the isomorphism from the graph to itself is automorphism. ... For example, for a graph with vertices, edges from some scalar theory, permutation of vertices is equivalent to relabeling of vertices, hence does not change the graph structure. The same goes to permutation of edges.