期刊信息

  • 刊名: 河北师范大学学报(自然科学版)Journal of Hebei Normal University (Natural Science)
  • 主办: 河北师范大学
  • ISSN: 1000-5854
  • CN: 13-1061/N
  • 中国科技核心期刊
  • 中国期刊方阵入选期刊
  • 中国高校优秀科技期刊
  • 华北优秀期刊
  • 河北省优秀科技期刊

P4-等可填充多重图的一些结果

  • 天津大学 理学院, 天津 300354
  • DOI: 10.13763/j.cnki.jhebnu.nse.2017.03.001

Some Results on P4-equipackable Multigraphs

摘要/Abstract

摘要:

若多重图M的任意极大H-填充均是它的最大H-填充,则称MH-等可填充的多重图.分析了不含自环,且HP4时的等可填充多重图. 刻画了当多重图的底图为C4C5C6时的P4-等可填充多重图的边重数之间需满足的关系,还刻画了不含圈的最长路为3的P4-等可填充多重图.

Abstract:

Multigraph M is called H-equipackable if any maximal H-packing is also a maximum H-packing. We mainly consider P4-equipackable multigraphs without loops. We obtain the relation between edges and multiplicity in the P4-equipackable multigraphs whose basic graphs are isomorphic to C4, C5, C6, and also characterize P4-equipackable multigraphs which contain paths of maximal length 3 without cycles.

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