The length of dominating cycle of claw-free graph

The length of dominating cycles is usually discussed in control problems. A dominating cycle of a graph G is a cycle C of G such that V ( G ) − V ( C ) is an independent set. In this article, we prove that for any claw-free graph G with δ ( G ) ≥ 2 , the length of longest dominating cycle is at leas...

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Bibliographic Details
Main Authors: Xiaodong Chen, Meijin Xu, Lu Zhi
Format: Article
Language:English
Published: SAGE Publishing 2017-11-01
Series:Advances in Mechanical Engineering
Online Access:https://doi.org/10.1177/1687814017737726