5-Shredders of Contraction-Critical 5-Connected Graphs
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作者:
Qin, Chengfu
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机构:
Nanning Normal Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R ChinaNanning Normal Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R China
Qin, Chengfu
[1
]
Yang, Weihua
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机构:
Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R ChinaNanning Normal Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R China
Yang, Weihua
[2
]
机构:
[1] Nanning Normal Univ, Sch Math & Stat, Nanning 530001, Guangxi, Peoples R China
[2] Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Shanxi, Peoples R China
Yoshimi Egawa [8] showed that a 5-connected graph G admits at most 2 vertical bar V(G)vertical bar-10/3 5-shredders. In this paper we shown that a contraction-critical 5-connected graph G admits at most vertical bar G vertical bar-6/2 5-shredders. Further we show that, for every contraction-critical 5-connected graph G, there is a contraction critical 5-connected graph (G) over tilde such that G is a spanning subgraph of a and a admits at most vertical bar G vertical bar-1/45-shredders.