
doi: 10.37236/1121
For two bipartite graphs $G$ and $G'$, a bijection $\psi: E(G) \rightarrow E(G')$ is called a (perfect) matching preserver provided that $M$ is a perfect matching in $G$ if and only if $\psi(M)$ is a perfect matching in $G'$. We characterize bipartite graphs $G$ and $G'$ which are related by a matching preserver and the matching preservers between them.
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graphs and linear algebra (matrices, eigenvalues, etc.), Directed graphs (digraphs), tournaments
Edge subsets with special properties (factorization, matching, partitioning, covering and packing, etc.), Graphs and linear algebra (matrices, eigenvalues, etc.), Directed graphs (digraphs), tournaments
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