Hamiltonian cycles in 2-tough 2K2-free graphs

Katsuhiro Ota, Masahiro Sanka

Research output: Contribution to journalArticlepeer-review

Abstract

A graph G is called a 2K2-free graph if it does not contain 2K2 as an induced subgraph. In 2014, Broersma, Patel, and Pyatkin showed that every 25-tough 2K2-free graph on at least three vertices is Hamiltonian. Recently, Shan improved this result by showing that 3-tough is sufficient instead of 25-tough. In this paper, we show that every 2-tough 2K2-free graph on at least three vertices is Hamiltonian, which was conjectured by Gao and Pasechnik.

Original languageEnglish
JournalJournal of Graph Theory
DOIs
Publication statusAccepted/In press - 2022

Keywords

  • 2-factor
  • 2K-free graph
  • Hamiltonian cycle
  • toughness

ASJC Scopus subject areas

  • Geometry and Topology
  • Discrete Mathematics and Combinatorics

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