PERFECT COUPLES OF GRAPHS

被引：24
|
作者：
KORNER, J
SIMONYI, G
TUZA, Z
机构：
[1] HUNGARIAN ACAD SCI,INST MATH,H-1364 BUDAPEST,HUNGARY
[2] HUNGARIAN ACAD SCI,INST COMP & AUTOMAT,H-1111 BUDAPEST,HUNGARY
来源：
COMBINATORICA | 1992年 / 12卷 / 02期
关键词：
AMS subject classification code (1991): 05C75; 94A17; 05C15; 94A15;
D O I：
10.1007/BF01204721
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We, generalize the concept of perfect graphs in terms of additivity of a functional called graph entropy. The latter is an information theoretic functional on a graph G with a probability distribution P on its vertex set. For any fixed P it is sub-additive with respect to graph union. The entropy of the complete graph equals the sum of those of G and its complement GBAR iff G is perfect. We generalize this recent result to characterize all the cases when the sub-additivity of graph entropy holds with equality.
引用
收藏
页码：179 / 192
页数：14
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