By Simone Costa and Tommaso Traetta

The existence of *1*-factorizations of an infinite complete equipartite graph *K_m[n]* (with *m* parts of size *n*) admitting a vertex-regular automorphism group *G* is known only when *n=1* and *m* is countable (that is, for countable complete graphs) and, in addition, *G* is a finitely generated abelian group *G* of... Show more

June 17, 2021

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Vertex-regular $1$-factorizations in infinite graphs

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