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

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

doi:10.1002/jgt.22368

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

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

Department of Business and Commerce

Research output: Contribution to journal › Article

Abstract

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.

Original language	English
Pages (from-to)	61-82
Number of pages	22
Journal	Journal of Graph Theory
Volume	90
Issue number	1
DOIs	https://doi.org/10.1002/jgt.22368
Publication status	Published - 2019 Jan 1

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Keywords

2-factor
forbidden subgraph

ASJC Scopus subject areas

Geometry and Topology

Cite this

Aldred, R. E. L., Fujisawa, J., & Saito, A. (2019). Pairs and triples of forbidden subgraphs and the existence of a 2-factor. Journal of Graph Theory, 90(1), 61-82. https://doi.org/10.1002/jgt.22368

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10.1002/jgt.22368