Tight Toughness, Isolated Toughness and Binding Number Bounds for the [1,n]-Factors and the {K2,Ci≥4}-Factors

Author:

Xu Xiao1,Gao Zhuoma2,Meng Lei3,Tong Qinghe1

Affiliation:

1. School of Mathematics and Statistics, Qinghai Normal, University, Xining, Qinghai 810008, P. R. China

2. College of Mathematics and Physics, Qinghai University, Xining, Qinghai 810016, P. R. China

3. Network Information Management Center, Qinghai Normal University, Xining, Qinghai 810008, P. R. China

Abstract

Let [Formula: see text] be an integer. The [Formula: see text]-factor of a graph [Formula: see text] is a spanning subgraph [Formula: see text] if [Formula: see text] for all [Formula: see text], and the [Formula: see text]-factor is a subgraph whose each component is either [Formula: see text] or [Formula: see text]. In this paper, we give the lower bounds with regard to tight toughness, isolated toughness and binding number to guarantee the existence of the [Formula: see text]-factors and [Formula: see text]-factors for a graph.

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computer Networks and Communications

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