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一类双色有向图的指数上界

孙涛 王建中 罗美金

中北大学学报(自然科学版)2011,Vol.32Issue(6):655-661,7.
中北大学学报(自然科学版)2011,Vol.32Issue(6):655-661,7.DOI:10.3969/j.issn.1673-3193.2011.06.001

一类双色有向图的指数上界

A Upper Bound on the Exponents of a Class of Two-Colored Digraphs

孙涛 1王建中 2罗美金2

作者信息

  • 1. 中北大学理学院,山西太原030051
  • 2. 河池学院数学系,广西宜州456300
  • 折叠

摘要

Abstract

A two-colored digraphs D is primitive if there exist nonnegative integers h and k with h+k>0 such that for each pair (I,j) of vertices there exists an (h,k)-walk in D from I to j. Then the minimum value of h+k is called D of the primitive exponent. The special two-colored digraphs whose uncolored digraph have 2n-t - 2 vertices and consist of one n-cycle and one (n - t)-cycle was considered. Some primitive conditions and an upper bound on the exponents were given, and the characterizations of extremal two-colored digraphs were discribed.

关键词

本原条件/双色有向图/指数/上界/极图

Key words

primitive condition/ two-colored digraph/ exponent/ upper bound/ extremal digraph

分类

数理科学

引用本文复制引用

孙涛,王建中,罗美金..一类双色有向图的指数上界[J].中北大学学报(自然科学版),2011,32(6):655-661,7.

基金项目

山西省青年科技研究基金资助项目(2006021006) (2006021006)

中北大学学报(自然科学版)

OA北大核心CSTPCD

1673-3193

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