Heavy Subgraph Conditions for Longest Cycles to Be Heavy in Graphs

Let G be a graph on n vertices. A vertex of G with degree at least n/2 is called a heavy vertex, and a cycle of G which contains all the heavy vertices of G is called a heavy cycle. In this note, we characterize graphs which contain no heavy cycles. For a given graph H, we say that G is H-heavy if e...

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Bibliographic Details
Main Authors: Lia Binlong, Zhang Shenggui
Format: Article
Language:English
Published: Sciendo 2016-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1863