RECONFIGURING MINIMUM DOMINATING SETS: THE γ-GRAPH OF A TREE

被引：3

作者：

Edwards, Michelle ^{[1
]}

MacGillivray, Gary ^{[1
]}

Nasserasr, Shahla ^{[2
]}

机构：

[1] Univ Victoria, Math & Stat, Victoria, BC, Canada

[2] Nova Southeastern Univ, Math, Ft Lauderdale, FL 33314 USA

来源：

DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2018年 / 38卷 / 03期

基金：

加拿大自然科学与工程研究理事会;

关键词：

domination; reconfiguration;

D O I：

10.7151/dmgt.2044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider gamma-graphs, which are reconfiguration graphs of the minimum dominating sets of a graph G. We answer three open questions about gamma-graphs of trees by providing upper bounds on the maximum degree, the diameter, and the number of minimum dominating sets. The latter gives an upper bound on the order of the gamma-graph.

引用

页码：703 / 716

页数：14

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