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分数[a,b]-因子的紧孤立韧度条件
SHARP ISOLATED TOUGHNESS CONDITION FOR FRACTIONAL [a,b]-FACTOR
【摘要】 本文研究了分数[a,b]-因子和孤立韧度相关性的问题.利用子图分解的方法,获得了一个图存在分数[a,b]-因子的孤立韧度条件,通过反例说明该条件是紧的.改进了原有对分数[a,b]-因子的孤立韧度界.
【Abstract】 In this paper,we study the relationship between the fractional [a,b]-factor and the isolated toughness.By means of the graph decomposition approach,an isolated toughness condition for a graph admits fractional [a,b]-factor is determined.The sharpness of given bound is explained by a counterexample.This result improves the original isolated toughness bound for fractional [a,b]-factors.
【关键词】 图;
分数因子;
分数[a,b]-因子;
孤立韧度;
【Key words】 graph; fractional factor; fractional [a,b]-factor; isolated toughness;
【Key words】 graph; fractional factor; fractional [a,b]-factor; isolated toughness;
【基金】 国家自然科学基金资助(12161094,12031018,11871270,12161141003,11931006)
- 【文献出处】 数学杂志 ,Journal of Mathematics , 编辑部邮箱 ,2024年03期
- 【分类号】O157.5
- 【下载频次】12