Scale-free tree graphs are more symmetrical

被引：1

作者：

Zhang, Bai-Da ^{[1
,2
]}

Wu, Jun-Jie ^{[1
,2
]}

Tang, Yu-Hua ^{[1
,2
]}

Zhou, Jing ^{[1
,2
]}

机构：

[1] Natl Univ Def Technol, State Key Lab High Performance Comp, Changsha 410073, Peoples R China

[2] Natl Univ Def Technol, Sch Comp, Dept Comp Sci & Technol, Changsha 410073, Peoples R China

来源：

PHYSICA SCRIPTA | 2012年 / 86卷 / 02期

基金：

中国国家自然科学基金;

关键词：

ALGORITHM; ISOMORPHISM; GENERATION; DYNAMICS;

D O I：

10.1088/0031-8949/86/02/025006

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we consider the symmetry of tree graphs, i.e. the size of the automorphism groups. A polynomial time algorithm named MAST is presented for computing the symmetry of tree graphs, and it is the first polynomial algorithm that has been reported so far for solving this problem. A definition of normalized symmetry is also presented. As a metric of symmetry, normalized symmetry can eliminate the effect degree distribution of graphs to symmetry. A diverse variety of tree graphs were considered in this paper. We found that, in contrast to random tree graph models, scale-free tree graphs are richly symmetric.

引用

页数：7

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