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二部竞赛图的竞争图与(1,2)步竞争图的边集关系

李瑞娟 安晓婷

中北大学学报(自然科学版)2017,Vol.38Issue(3):264-268,5.
中北大学学报(自然科学版)2017,Vol.38Issue(3):264-268,5.DOI:10.3969/j.issn.1673-3193.2017.03.003

二部竞赛图的竞争图与(1,2)步竞争图的边集关系

Relation of the Edge Sets Between the Competition Graph and the (1,2)-step Competition Graph of a Bipartite Tournament

李瑞娟 1安晓婷1

作者信息

  • 1. 山西大学 数学科学学院, 山西 太原 030006
  • 折叠

摘要

Abstract

The edge sets between the competition graph and the (1,2)-step competition graph of a bipartite tournament were investigated comparatively.From the structure of a bipartite tournament, the edges inside each partite set of the two graphs are the same and the difference of edges is between the two partite sets.By analysing the edges between two partite sets of (1,2)-step competition graph, the lower bound ε1,2min(m,n) and the upper bound ε1,2max(m,n) of the difference of the edges'numbers of the two graphs were obtained.And some examples were given to show the sharpness of the bounds.

关键词

二部竞赛图/竞争图/(1,2)步竞争图

Key words

bipartite tournament/competition graph/(1/2)-step competition graph

分类

数理科学

引用本文复制引用

李瑞娟,安晓婷..二部竞赛图的竞争图与(1,2)步竞争图的边集关系[J].中北大学学报(自然科学版),2017,38(3):264-268,5.

基金项目

国家自然科学基金资助项目(11401353) (11401353)

山西省回国留学人员科研资助项目(2013-017) (2013-017)

中北大学学报(自然科学版)

1673-3193

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