一类重要的本原(带号)有向图的指数值

吴钰涵, 尤利华

吴钰涵, 尤利华. 一类重要的本原(带号)有向图的指数值[J]. 华南师范大学学报(自然科学版), 2011, (3).
引用本文: 吴钰涵, 尤利华. 一类重要的本原(带号)有向图的指数值[J]. 华南师范大学学报(自然科学版), 2011, (3).
Indices of an important class of primitive(signed) digraphs[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).
Citation: Indices of an important class of primitive(signed) digraphs[J]. Journal of South China Normal University (Natural Science Edition), 2011, (3).

一类重要的本原(带号)有向图的指数值

基金项目: 

国家自然科学基金资助项目

详细信息
    通讯作者:

    尤利华

Indices of an important class of primitive(signed) digraphs

  • 摘要: 设q,s是任意的2个正整数,满足1 s q n,g.c.d.(q, s) = 1, 且q + sn + 1).定义有向图Dn,q,s=(V,E),其中V={v1,v2,...,vn},E={(vi,vi+1)|1in-1}{(vs,vl),(vn,vn-q+1)},定义Sn,q,s是以Dn,q,s为基础有向图的带号有向图.显然Dn,q,s(Sn,q,s)是本原(带号)有向图,得到了本原有向图Dn,q,s的本原指数和局部指数,以及本原带号有向图Sn,q,s的基指数和局部基.
    Abstract: In this paper, we study the primitive digraph Dn,q,s and primitive signed digraph Sn,q,s(where q, s are integers, and satisfy 1 s q n, g.c.d.(q, s) = 1, q + s n + 1), we obtain the exponent and the local exponent of the primitive digraph Dn,q,s, and we also give the base and the local base of primitive signed digraph Sn,q,s.
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出版历程
  • 收稿日期:  2010-04-29
  • 修回日期:  2011-01-23
  • 刊出日期:  2011-08-24

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