MATRIX MEASURES FOR TRANSITIVITY AND BALANCE

被引：16

作者：

HARARY, F

KOMMEL, HJ

机构：

[1] Research Center for Group Dynamics, Institute for Social Research, The University of Michigan

来源：

JOURNAL OF MATHEMATICAL SOCIOLOGY | 1979年 / 6卷 / 02期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1080/0022250X.1979.9989889

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Our object is to develop matrix formulas for measuring transitivity in digraphs and balance in signed graphs or digraphs. The transitivity ratio is introduced giving the probability that a 2-step path will be completed to a transitive triple. As it is not feasible to enumerate all cycles in a signed graph or digraph, restrictive degrees of balance are considered which involve only small cycles. © 1979, Taylor & Francis Group, LLC. All rights reserved.

引用

页码：199 / 210

页数：12

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