摘要
首先对平面图形的对称进行分析和利用其对称群进行量化,进而将此推广到考察一般图的广义"对称性"与图自同构群的关系,最后刻画了无平方因子阶局部本原弧传递图的自同构群结构.
In this paper, the symmetries of plane figure is analyzed and quantified at first, then the relation between the general symmetry of a graph and its automorphism group is studied, and the automorphism groups of the locally primitive arc transitive graphs of square-free order is presented.
出处
《纯粹数学与应用数学》
2015年第4期367-372,共6页
Pure and Applied Mathematics
基金
国家自然科学基金(11226276)
安徽省自然科学基金(1408085MA04)
安徽工业大学研究生创新研究基金(2014130)
安徽省大学生创新创业训练项目(AH201310360231
AH201310360341)