Edge-connectivity and edge-superconnectivity in sequence graphs

被引：0
|
作者：
Balbuena, C.
Fabrega, J.
Garcia-Vazquez, P.
机构：
[1] Univ Politecn Catalunya, Dept Matemat Aplicada 3, E-08034 Barcelona, Spain
[2] Univ Politecn Catalunya, Dept Matemat Aplicada 4, E-08034 Barcelona, Spain
[3] Univ Seville, Dept Matemat Aplicada 1, E-41012 Seville, Spain
来源：
DISCRETE APPLIED MATHEMATICS | 2007年 / 155卷 / 16期
基金：
俄罗斯基础研究基金会;
关键词：
edge-connectivity; edge-superconnectivity; line graphs; sequence graphs;
D O I：
10.1016/j.dam.2007.05.006
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Given an integer k >=, I and any graph G, the sequence graph S-k (G) is the graph whose set of vertices is the set of all walks of length k in G. Moreover, two vertices of S-k (G) are joined by an edge if and only if their corresponding walks are adjacent in G. In this paper we prove sufficient conditions for a sequence graph S-k (G) to be maximally edge-connected and edge-superconnected depending on the parity of k and on the vertex-connectivity of the original graph G. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：2053 / 2060
页数：8
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