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独立数≤5的3-边连通简单图的上可嵌入性

高岩波 任韩

南京师大学报(自然科学版)2006,Vol.29Issue(1):17-20,4.
南京师大学报(自然科学版)2006,Vol.29Issue(1):17-20,4.

独立数≤5的3-边连通简单图的上可嵌入性

Upper Embeddability of 3-Edge-Connected Simple Graphs with Independence-Number≤5

高岩波 1任韩2

作者信息

  • 1. 南通大学理学院,江苏,南通,226007
  • 2. 华东师范大学数学系,上海,200062
  • 折叠

摘要

Abstract

Combined with the edge-connectivity, this paper investigates the relationship between the independencenumber and the upper-embeddability of a 3-edge-connected simple graph and obtains the following result: Let G be a 3-edge-connected simple graph with α(G) ≤5 (where α(G) is the independence-number of G) , then G is upper embeddable, and two minimal examples are given in the sense that there are 3-edge-connected graphs which are not upper embeddable.

关键词

/最大亏格/Betti亏数/上可嵌入的/独立数

Key words

graph/maximum genus/betti deficiency/upper embeddable/independence-number

分类

数理科学

引用本文复制引用

高岩波,任韩..独立数≤5的3-边连通简单图的上可嵌入性[J].南京师大学报(自然科学版),2006,29(1):17-20,4.

基金项目

Supported by the National Natural Science Foundation of China (10271048) and Shanghai Priority Academic Discipline and Science and Technology Commission of Shanghai Municipality (04JC14031). (10271048)

南京师大学报(自然科学版)

OA北大核心CSCDCSTPCD

1001-4616

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