Pairs of Disjoint Dominating Sets in Connected Cubic Graphs

被引：2
|
作者：
Loewenstein, Christian [1 ]
Rautenbach, Dieter [2 ]
机构：
[1] Univ Johannesburg, Dept Math, ZA-2006 Auckland Pk, South Africa
[2] Univ Ulm, Inst Optimierung & Operat Res, Ulm, Germany
来源：
GRAPHS AND COMBINATORICS | 2012年 / 28卷 / 03期
关键词：
Cubic graphs; Domination number; Domatic number; Inverse domination; Disjoint domination number; INVERSE DOMINATION; DOMATIC NUMBER; MINIMUM DEGREE; LARGE GIRTH;
D O I：
10.1007/s00373-011-1050-1
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a connected cubic graph G of order n, we prove the existence of two disjoint dominating sets D (1) and D (2) with |D-1| + |D-2| <= 157/198n + 89.
引用
收藏
页码：407 / 421
页数：15
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