Social balance on networks: The dynamics of friendship and enmity

被引：186

作者：

Antal, T.

Krapivsky, P. L.

Redner, S. ^{[1
]}

机构：

[1] Boston Univ, Ctr Polymer Studies, Boston, MA 02215 USA

[2] Boston Univ, Dept Phys, Boston, MA 02215 USA

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2006年 / 224卷 / 1-2期

基金：

美国国家科学基金会;

关键词：

social balance; networks;

D O I：

10.1016/j.physd.2006.09.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

How do social networks evolve when both friendly and unfriendly relations exist? Here we propose a simple dynamics for social networks in which the sense of a relationship can change so as to eliminate imbalanced triads - relationship triangles that contains 1 or 3 unfriendly links. In this dynamics, a friendly link changes to unfriendly or vice versa in an imbalanced triad to make the triad balanced. Such networks undergo a dynamic phase transition from a steady state to "utopia" - all friendly links - as the amount of network friendliness, defined as the fraction of friendly links rho, is changed. Basic features of the long-time dynamics and the phase transition are discussed. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：130 / 136

页数：7