New Bounds on Domination and Independence in Graphs1

被引：0
|
作者：
Harant, Jochen [1 ]
Mohr, Samuel [1 ,2 ]
机构：
[1] TU Ilmenau, Inst Math, D-98684 Ilmenau, Germany
[2] Masaryk Univ, Fac Informat, Brno 60200, Czech Republic
来源：
DISCUSSIONES MATHEMATICAE GRAPH THEORY | 2023年 / 43卷 / 03期
关键词：
undirected graph; domination number; independence number; bounds; NUMBER;
D O I：
10.7151/dmgt.2406
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We propose new bounds on the domination number and on the independence number of a graph and show that our bounds compare favorably to recent ones. Our bounds are obtained by using the Bhatia-Davis inequality linking the variance, the expected value, the minimum, and the maximum of a random variable with bounded distribution.
引用
收藏
页码：809 / 824
页数：16
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