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Sur la contraction des graphes orientés en \(K^ *_ 3\). (On the contraction of digraphs onto \(K^ *_ 3)\) - MaRDI portal

Sur la contraction des graphes orientés en \(K^ *_ 3\). (On the contraction of digraphs onto \(K^ *_ 3)\) (Q1091394)

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scientific article; zbMATH DE number 4010541
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English
Sur la contraction des graphes orientés en \(K^ *_ 3\). (On the contraction of digraphs onto \(K^ *_ 3)\)
scientific article; zbMATH DE number 4010541

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    Sur la contraction des graphes orientés en \(K^ *_ 3\). (On the contraction of digraphs onto \(K^ *_ 3)\) (English)
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    1987
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    The authors prove the following Meyniel's conjecture: If \(p=2\) and if \(d^+(x)\geq p\) and \(d^-(x)\geq p\) for every vertex x of a digraph D, then D is subcontractible onto \(K^*_{p+1}\). They conjecture the same fact with \(p=3\).
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    complete digraph
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    subcontraction
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