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收缩临界5-连通图的平均度(英文); The Average Degree of Contraction Critical 5-connected Graphs
覃城阜 ; 郭晓峰
2011
关键词5-连通图 收缩临界 平均度 5-connected graph contraction critical average degree
英文摘要M.krIESEll证明了收缩临界5-连通图的平均度不超过24并猜想收缩临界5-连通图的平均度小于10.本文构造了一个反例证明M.krIESEll的猜想不成立并给出了收缩临界5-连通图平均度新的上界.; M.Kriesell--([11]) shown that any contraction critical 5-connected graph has average degree at most 24 and conjectured that every finite 5-connected graph of average degree at least 10 admitted an 5-contractible edge.We show this Conjecture is not true by giving a counter example.Further we show that any finite contraction critical 5-connected graph has average degree at most 20.This improve the result of M.Kriesell.; supportedbyDoctorFundationofGuangxiTeachersEducationUniversity(2010B001)
语种zh_CN
内容类型期刊论文
源URL[http://dspace.xmu.edu.cn/handle/2288/119795]  
专题数学科学-已发表论文
推荐引用方式
GB/T 7714
覃城阜,郭晓峰. 收缩临界5-连通图的平均度(英文), The Average Degree of Contraction Critical 5-connected Graphs[J],2011.
APA 覃城阜,&郭晓峰.(2011).收缩临界5-连通图的平均度(英文)..
MLA 覃城阜,et al."收缩临界5-连通图的平均度(英文)".(2011).
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