Tight Toughness, Isolated Toughness and Binding Number Bounds for the Star-Path Factor

Author:

Yao Yifan1,Liang Jinxia1ORCID,Li Yue1,Ma Rongrong1

Affiliation:

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

Abstract

For a set [Formula: see text] of connected graphs, a spanning subgraph [Formula: see text] of [Formula: see text] is called a [Formula: see text] if each component of [Formula: see text] is isomorphic to a member of [Formula: see text]. In this paper, some sufficient conditions with regard to tight toughness, isolated toughness and binding number bounds to guarantee the existence of the [Formula: see text]-factor and [Formula: see text]-factor for any graph are obtained.

Funder

Qinghai Key Laboratory of Internet of Things Project

Publisher

World Scientific Pub Co Pte Ltd

Subject

Computer Networks and Communications

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