4pn 阶素数度弧正则图

杨桥艳; 李青柏; 潘江敏

doi:10.7540/j.ynu.20120545

杨桥艳, 李青柏, 潘江敏. 4pn 阶素数度弧正则图[J]. 云南大学学报(自然科学版), 2013, 35(4): 453-456. doi: 10.7540/j.ynu.20120545

引用本文:

杨桥艳, 李青柏, 潘江敏. 4pn 阶素数度弧正则图[J]. 云南大学学报(自然科学版), 2013, 35(4): 453-456. doi: 10.7540/j.ynu.20120545

Arc-regular prime-valent graphs of order 4pn[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(4): 453-456. DOI: 10.7540/j.ynu.20120545

Citation:

Arc-regular prime-valent graphs of order 4pn[J]. Journal of Yunnan University: Natural Sciences Edition, 2013, 35(4): 453-456. DOI: 10.7540/j.ynu.20120545

4pn 阶素数度弧正则图

Arc-regular prime-valent graphs of order 4pn

摘要

摘要: 利用有限群的若干性质，分析了4pn阶素数度弧正则图的自同构群的结构，结合图的正规商图的性质，刻画了4pn阶的素数度弧正则图，并给出了n4时的完全分类. 

Abstract: By using some properties of finite groups,we analyze the structure of automorphism groups of arc-regular prime-valent graphs of order 4pn with p a prime.Then,applying certain properties of normal quotient graphs,we obtain a characterization of such graphs.In particular,a classification of such graphs is given for the case where n4.

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