A study of sign adjustment in weighted signed networks

作者：Deng, Hongzhong^*; Abell, Peter; Li, Ji; Wu, Jun

来源：Social Networks, 2012, 34(2): 253-263.

DOI：10.1016/j.socnet.2011.12.006

• Structural balance
• Weighted structures
• Local and global adjustment rules

We analyse the adjustment of networks comprising of weighted positive (P) and negative (N) symmetric relations under the impact of various balancing rules. Five kinds of rules are studied: (1) a local minimal edge adjustment which is a special case of, (2) a local pressure based rule, (3) a local sign based rule, (4) a global rule and (5) rules varying on a local to global dimension. The convergence and convergent proportions of different 3-cycles and, thus the impact upon beta(3) balance, under the different kinds of adjustment rule are studied both analytically and through simulation. The effects of network size (n), density (d) and the initial proportion of positive edges (an) upon the convergence of 3-cycles and, thus, balance and the eventual implications for the process of group formation are explored.

• 出版日期2012-5
• 单位中国人民解放军国防科学技术大学