Forbidden Subgraphs for Hamiltonicity of 1-Tough Graphs

A graph G is said to be 1-tough if for every vertex cut S of G, the number of components of G − S does not exceed |S|. Being 1-tough is an obvious necessary condition for a graph to be hamiltonian, but it is not sufficient in general. We study the problem of characterizing all graphs H such that eve...

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Bibliographic Details
Main Authors: Li Binlong, Broersma Hajo J., Zhang Shenggui
Format: Article
Language:English
Published: Sciendo 2016-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1897