Isomorphism in Graphs Graph Isomorphism is a fundamental problem in graph theory. Two graphs are said to be isomorphic if there exists a one-to-one correspondence between their vertices such that the ...

If the graphs are isomorphic, the output includes instructions on how to transform one graph into the other. (example from unit_tests.py test_isomorphic_graphs1) ...

It builds on previous approaches that find the symmetries of a graph — all the ways to generate isomorphic graphs by renaming nodes. At its heart is a new routine that can successfully conquer ...

Graph Isomorphism has been proved as most crucial and very difficult process in Pattern Matching. The Graph Isomorphism problem is to check if two graphs are similar or not based on different ...

The study of such graphs is called graph theory. Engineers need to find planarity in a graph when, for example, they are designing a computer chip without a crossed wire.

If two decompositions and of by G are orthogonal, then is an orthogonal double cover of by G. Orthogonal decompositions of graphs and orthogonal double covers (ODC) of graphs have been studied by ...

The Graph Isomorphism problem regained interest with the rise of Graph Neural Networks (GNN). These GNN models have limited ability to distinguish between isomorphic graphs and hence their outputs are ...

ABSTRACT: The concept of H-decompositions of graphs was first introduced by Erd?s, Goodman and Pósa in 1966, who were motivated by the problem of representing graphs by set intersections. Given graphs ...