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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