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 edge relationships ...

The overall process involves generating all possible adjacency matrices for graphs with n vertices, then testing each matrix under an isomorphism check function. If a graph is not isomorphic with ...

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 ...

Two decompositions and of the complete bipartite graph are orthogonal if, for all . A set of decompositions of is a set of k mutually orthogonal graph squares (MOGS) if and are orthogonal for all and ...

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 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 ...