Independent dominating sets in triangle-free graphs

被引：9
|
作者：
Goddard, Wayne [2 ,3 ]
Lyle, Jeremy [1 ]
机构：
[1] Univ So Mississippi, Dept Math, Hattiesburg, MS 39406 USA
[2] Clemson Univ, Sch Comp, Clemson, SC USA
[3] Clemson Univ, Dept Math Sci, Clemson, SC USA
来源：
JOURNAL OF COMBINATORIAL OPTIMIZATION | 2012年 / 23卷 / 01期
关键词：
Dominating sets; Independent domination; Triangle-free;
D O I：
10.1007/s10878-010-9336-4
中图分类号：
TP39 [计算机的应用];
学科分类号：
081203 ; 0835 ;
摘要：
The independent domination number of a graph is the smallest cardinality of an independent set that dominates the graph. In this paper we consider the independent domination number of triangle-free graphs. We improve several of the known bounds as a function of the order and minimum degree, thereby answering conjectures of Haviland.
引用
收藏
页码：9 / 20
页数：12
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