Pairs and triples of forbidden subgraphs and the existence of a 2-factor

R. E.L. Aldred, Jun Fujisawa, Akira Saito

研究成果: Article

抜粋

Let H be a set of connected graphs, each of which has order at least three, and suppose that there exist infinitely many connected H-free graphs of minimum degree at least two and all except for finitely many of them have a 2-factor. In [J. Graph Theory, 64 (2010), 250–266], we proved that if |H| ≤ 3, then one of the members in H is a star. In this article, we determine the remaining members of H and hence give a complete characterization of the pairs and triples of forbidden subgraphs.

元の言語English
ページ(範囲)61-82
ページ数22
ジャーナルJournal of Graph Theory
90
発行部数1
DOI
出版物ステータスPublished - 2019 1 1

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ASJC Scopus subject areas

  • Geometry and Topology

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