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

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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