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  1. How to tell whether two graphs are isomorphic?

    Oct 24, 2017 · A more general approach to graph isomorphism is to look for graph invariants: properties of one graph that may or may not be true for another. (The degree sequence of a …

  2. Are these two graphs isomorphic? Why/Why not?

    Mar 10, 2019 · Are these two graphs isomorphic? According to Bruce Schneier: "A graph is a network of lines connecting different points. If two graphs are identical except for the names of …

  3. What is Graph Isomorphism and Graph Invariant?

    Jun 22, 2015 · A map taking graphs as arguments is called a graph invariant if it assigns equal values to isomorphic graphs. The number of vertices and the number of edges of a graph are …

  4. Difference between graph homomorphism and graph isomorphism

    Aug 16, 2012 · I am still not getting how graph isomorphism and homomorphism differ. Can anyone show me two graphs that are homomorphic, but not isomorphic? Also, Wikipedia says …

  5. Isomorphism of directed graphs - Mathematics Stack Exchange

    Nov 11, 2020 · Consider the following directed graphs: One is obtained from the other by reversing the direction of all edges. Are they isomorphic as directed graphs ? On the one …

  6. What's the difference between the automorphism and …

    In the mathematical field of graph theory, an automorphism of a graph is a form of symmetry in which the graph is mapped onto itself while preserving the edge–vertex connectivity.

  7. How to prove two graphs are isomorphic if and only if their …

    0 Suppose f:G->H is an isomorphism from G to H. In that case, f is a vertex bijection preserving adjacency and non-adjacency, and hence f preserves non-adjacency and adjacency in G and …

  8. Questions on isomorphism of graphs - Mathematics Stack Exchange

    Dec 9, 2024 · Such an f is called an isomorphism of the graphs G and G′. While the definition seems to consider the set of vertices instead of labels, I’m confused because many textbook …

  9. Prove two graphs are isomorphic - Mathematics Stack Exchange

    Unfortunately, two non-isomorphic graphs can have the same degree sequence. See here for an example. Checking the degree sequence can only disprove that two graphs are isomorphic, …

  10. Graph isomorphism in polynomial time - Mathematics Stack …

    Jun 1, 2020 · I have one question about the algorithm on testing the Trivalent Graph isomorphism in polynomial time. The paper "Isomorphism of graphs of bounded valence can be tested in …