A NOTE ON THE CHARACTERIZATION OF DOMINATION PERFECT GRAPHS

被引:21
作者
FULMAN, J
机构
[1] Department of Mathematics, Harvard University, Cambridge, Massachusetts
关键词
D O I
10.1002/jgt.3190170106
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A graph G is domination perfect if for each induced subgraph H of G, gamma(H) = i(H), where gamma and i are a graph's domination number and independent domination number, respectively. Zverovich and Zverovich [3] offered a finite forbidden induced charaCtErization of domination perfect graphs. This characterization is not correct, but the ideas in [3] can be used to weaken the known sufficient conditions for a graph to be domination perfect and to obtain short proofs of some results regarding domination perfect graphs.
引用
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页码:47 / 51
页数:5
相关论文
共 3 条
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ALLAN, RB ;
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DISCRETE MATHEMATICS, 1978, 23 (02) :73-76
[2]   CRITICAL CONCEPTS IN DOMINATION [J].
SUMNER, DP .
DISCRETE MATHEMATICS, 1990, 86 (1-3) :33-46
[3]  
ZEROVICH IE, 1991, J GRAPH THEOR, V15, P109