Abstract Paper


Journal of Computational Mathametica

Title : Improved Independent Set Conditions for Fractional Factors
Author(s) : 1 Jianzhang Wu 2 Jiabin Yuana and 3 Wei Gao
Article Information : , 17-31
Affiliation(s) : 1 College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China.
: 2 School of Computer Science and Engineer, Southeast University, Nanjing 210096, China.
: 3 School of Information Science and Technology, Yunnan Normal University, Kunming 650500, China.

Abstract :

A graph G is called a fractional (g,f,n',m)-critical deleted graph if after deleting any n' vertices from G, the resulting graph admits a fractional (g,f,m)-deleted graph. A graph G is called a fractional ID-(g,f,m)-deleted if after deleting any independent set I from G, the resulting graph admits a fractional (g,f,m)-deleted graph. In this paper, we improve independent set conditions for a graph to be fractional (g,f,n',m)-critical deleted and fractional ID-(g,f,m)-deleted. Furthermore, we present some examples to show the sharpness of given independent set bounds.


Keywords : graph, fractional (g,f)-factor, fractional (g,f,n 0 ,m)-critical deleted graph, fractional ID-(g,f,m)-deleted graph
Document Type : Research Paper
DOI : Improved Independent Set Conditions for Fractional Factors
Publication date : May 20, 2019