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From conjecture to theorem - MaRDI portal

From conjecture to theorem (Q2758331)

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scientific article; zbMATH DE number 1679715
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English
From conjecture to theorem
scientific article; zbMATH DE number 1679715

    Statements

    16 April 2002
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    weak perfect graph conjecture
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    strong perfect graph conjecture
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    Gallai graphs
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    polyhedral combinatorics
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    From conjecture to theorem (English)
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    In this survey it is proved that triangulated graphs and their complements are perfect. Two proofs of the weak perfect graph conjecture and their polyhedral and algebraic consequences are discussed. In particular, it is shown that Lovász's proof of the weak perfect graph conjecture pointed out the fundamental role that perfect graphs play in polyhedral combinatorics.NEWLINENEWLINEFor the entire collection see [Zbl 0972.00015].
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