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» Contractibility and the Hadwiger Conjecture

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JGT
2010

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An approximate version of Hadwiger's conjecture for claw-free graphs

13 years 3 months ago

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Hadwiger’s conjecture states that every graph with chromatic number χ has a clique minor of size χ. In this paper we prove a weakened version of this conjecture for the class ...

Maria Chudnovsky, Alexandra Ovetsky Fradkin

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EJC
2008

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Fractional coloring and the odd Hadwiger's conjecture

13 years 5 months ago

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Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...

Ken-ichi Kawarabayashi, Bruce A. Reed

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DM
2006

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On a new reformulation of Hadwiger's conjecture

13 years 5 months ago

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Assuming that every proper minor closed class of graphs contains a maximum with respect to the homomorphism order, we prove that such a maximum must be homomorphically equivalent ...

Reza Naserasr, Yared Nigussie

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COMBINATORICA
2007

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Some remarks on the odd hadwiger's conjecture

13 years 5 months ago

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Ken-ichi Kawarabayashi, Zi-Xia Song

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