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分数k-消去图的度条件
引用本文:高炜,张云港,梁立. 分数k-消去图的度条件[J]. 西北师范大学学报(自然科学版), 2011, 47(1)
作者姓名:高炜  张云港  梁立
作者单位:云南师范大学信息学院;
基金项目:国家自然科学基金资助项目(60903131)
摘    要:设G是一个图,若对于图G的任一边e,G-e都存在一个分数k-因子,则称G是一个分数k-消去图.证明了当顶点数、最小度以及max{dG(u),dG(v)}(其中u,v是图中任意两个不相邻顶点)满足一定条件时,G是分数k-消去图,该结论在一定意义上是最好的.

关 键 词:分数k-因子  分数k-消去图  度条件  

A degree condition for fractional k-deleted graphs
GAO Wei,ZHANG Yun-gang,LIANG Li. A degree condition for fractional k-deleted graphs[J]. Journal of Northwest Normal University Natural Science (Bimonthly), 2011, 47(1)
Authors:GAO Wei  ZHANG Yun-gang  LIANG Li
Affiliation:GAO Wei,ZHANG Yun-gang,LIANG Li(School of Information,Yunnan Normal University,Kunming 650092,Yunnan,China)
Abstract:A graph G is fractional k-deleted if there exists a fractional k-factor in G-e for any edge e of G.It is proved that G is fractional k-deleted graph when its order,minimum degree and max{dG(u),dG(v)}(where u,v are nonadjacent vertices) satisfy certain conditions.The results are proved to be best in some sense.
Keywords:fractional k-factor  fractional k-deleted graph  degree condition  
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