Graphs without a 3-Connected Subgraph are 4-Colourable
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作者:
Bonnet, Edouard
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Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, FranceUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Bonnet, Edouard
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Feghali, Carl
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Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, FranceUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Feghali, Carl
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Nguyen, Tung
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Princeton Univ, Princeton, NJ 08544 USAUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Nguyen, Tung
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Scott, Alex
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Univ Oxford, Math Inst, Oxford OX2 6GG, EnglandUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Scott, Alex
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Seymour, Paul
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Thomasse, Stephan
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Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, FranceUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Thomasse, Stephan
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Trotignon, Nicolas
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Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, FranceUniv Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
Trotignon, Nicolas
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机构:
[1] Univ Claude Bernard Lyon 1, CNRS, ENS Lyon, LIP UMR 5668, F-69342 Lyon 07, France
[2] Princeton Univ, Princeton, NJ 08544 USA
[3] Univ Oxford, Math Inst, Oxford OX2 6GG, England
In 1972, Mader showed that every graph without a 3-connected subgraph is-degenerate and thus 5-colourable. We show that the number 5 of colours can be replaced by 4, which is best possible.
机构:
Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Xiong, Wei
Zhang, Zhao
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R ChinaXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
Zhang, Zhao
Lai, Hong-Jian
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Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
W Virginia Univ, Dept Math, Morgantown, WV 26506 USAXinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Xinjiang, Peoples R China
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Tokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, JapanTokyo Univ Sci, Dept Math Informat Sci, Shinjuku Ku, 1-3 Kagurazaka, Tokyo 1628601, Japan