Toughness and fractional critical deleted graph

被引:1
作者
Gao, Wei [1 ]
Wang, Weifan [2 ]
机构
[1] Yunnan Normal Univ, Sch Informat Sci & Technol, Kunming 650500, Peoples R China
[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China
关键词
toughness; fractional; (g; f)-factor; f; n)-critical graph; n)-critical deleted graph; (a; b; K-FACTORS; EXISTENCE;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we present the relationship between toughness and fractional critical deleted graphs. It is determined that G is fractional (g, f, n)-critical deleted if t(G) >= b(2)-Delta-1+bn/a, where 1 <= a <= b, b >= 2 and (a, b) not equal (1, 2). Furthermore, we derive a toughness bound for fractional (a, b, n)-critical deleted graphs. These results expand previous results published in The Scientific World Journal and Ars Combinatoria, respectively.
引用
收藏
页码:295 / 310
页数:16
相关论文
共 13 条
[1]  
Bian QJ, 2008, ARS COMBINATORIA, V87, P175
[2]  
Bondy J.A., 2008, GTM
[3]  
Chvatal V., 1973, Discrete Mathematics, V5, P215, DOI 10.1016/0012-365X(73)90138-6
[4]  
Gao W, 2012, THESIS SOOCHOW U
[5]  
Gao W., ARS COMBIN IN PRESS
[6]  
Gao W., SCI WORLD J, V2014
[7]  
Gao W, 2014, ARS COMBINATORIA, V113A, P49
[8]   Toughness and the existence of fractional k-factors of graphs [J].
Liu, Guizhen ;
Zhang, Lanju .
DISCRETE MATHEMATICS, 2008, 308 (09) :1741-1748
[9]   On toughness and fractional (g, f, n)-critical graphs [J].
Liu, Shuli .
INFORMATION PROCESSING LETTERS, 2010, 110 (10) :378-382
[10]  
Liu SL, 2009, ARS COMBINATORIA, V93, P305