Hikoe Enomoto, Katsuhiro Ota, Mikio Kanō
Abstract
Abstract P. Katerinis obtained a sufficient condition for the existence of a 2‐factor in a bipartite graph, in the spirit of Hall's theorem. We show a sufficient condition for the existence of a k‐factor in a bipartite graph, as a generalization of Katerinis's theorem and Hall's theorem.
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Abstract P. Katerinis obtained a sufficient condition for the existence of a 2‐factor in a bipartite graph, in the spirit of Hall's theorem. We show a sufficient condition for the existence of a k‐factor in a bipartite graph, as a generalization of Katerinis's theorem and Hall's theorem.
Key concepts: Mathematics, Robertson–Seymour theorem, Bipartite graph, Complete bipartite graph, Combinatorics, Edge-transitive graph, Discrete mathematics, Graph minor