5-Shredders of Contraction-Critical 5-Connected Graphs
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作者:
Qin, Chengfu
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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
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Yang, Weihua
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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
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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.
机构:
Natl Inst Informat Global Res, JST ERATO Kawarabayashi Large Graph Project, Ctr Big Data Math, Chiyoda Ku, 2-1-2 Hitotsubashi, Tokyo 1018430, JapanNatl Inst Informat Global Res, JST ERATO Kawarabayashi Large Graph Project, Ctr Big Data Math, Chiyoda Ku, 2-1-2 Hitotsubashi, Tokyo 1018430, Japan
机构:
Res Org Informat & Syst, Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, JapanRes Org Informat & Syst, Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan
Kawarabayashi, Ken-ichi
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机构:
Negami, Seiya
Plummer, Michael D.
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Vanderbilt Univ, Dept Math, Nashville, TN 37240 USARes Org Informat & Syst, Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan
Plummer, Michael D.
Suzuki, Yusuke
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Tsuruoka Natl Coll Technol, Yamagata 9978511, JapanRes Org Informat & Syst, Natl Inst Informat, Chiyoda Ku, Tokyo 1018430, Japan
机构:
Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4000 Durban, South Africa
Ali, Patrick
Mukwembi, Simon
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Univ KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4000 Durban, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4000 Durban, South Africa
Mukwembi, Simon
Dankelmann, Peter
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Univ Johannesburg, Dept Pure & Appl Math, ZA-2006 Auckland Pk, South AfricaUniv KwaZulu Natal, Sch Math Stat & Comp Sci, ZA-4000 Durban, South Africa