分数[a,b]-因子的紧孤立韧度条件  

SHARP ISOLATED TOUGHNESS CONDITION FOR FRACTIONAL[a,b]-FACTOR

作　　者：高炜[1] 王维凡[2] 陈耀俊[3] GAO Wei;WANG Wei-fan;CHEN Yao-jun(School of Information Science and Technology,Yunnan Normal University,Kunming 650500,China;Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China;Department of Mathematics,Nanjing University,Nanjing 210093,China)

机构地区：[1]云南师范大学信息学院,云南昆明650500 [2]浙江师范大学数学系,浙江金华321004 [3]南京大学数学系,江苏南京210093

出　　处：《数学杂志》2024年第3期203-211,共9页Journal of Mathematics

基　　金：国家自然科学基金资助(12161094,12031018,11871270,12161141003,11931006)。

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.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 

分 类 号：O157[理学—数学]