Maximum graphs with a unique minimum dominating set

被引：5
|
作者：
Fischermann, M [1 ]
Rautenbach, D [1 ]
Volkmann, L [1 ]
机构：
[1] Rhein Westfal TH Aachen, Lehrstuhl Math 2, D-52056 Aachen, Germany
来源：
DISCRETE MATHEMATICS | 2003年 / 260卷 / 1-3期
关键词：
domination; size; unique minimum dominating set; extremal graphs;
D O I：
10.1016/S0012-365X(02)00670-2
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We present a conjecture on the maximum number of edges of a graph that has a unique minimum dominating set. We verify our conjecture for some special cases and prove a weakened version of this conjecture in general. (C) 2002 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：197 / 203
页数：7
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