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| HAL : hal-00432221, version 1 |
| arXiv : 0911.2807 |
| Fiche détaillée |  Récupérer au format |
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| On the Minimum Size of a Contraction-Universal Tree |
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| Olivier Bodini 1 |
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| (01/03/2003) |
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| A tree T_uni is m-universal for the class of trees if for every tree T of size m, T can be obtained from T_uni by successive contractions of edges. We prove that a m-universal tree for the class of trees has at least mln(m) + (gamma-1)m + O(1) edges where is the Euler's constant and we build such a tree with less than mc edges for a fixed constant c = 1.984... |
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| 1 : | Laboratoire d'Informatique de Paris 6 (LIP6) |
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CNRS : UMR7606 – Université Paris VI - Pierre et Marie Curie |
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| Domaine | : | Informatique/Mathématique discrète |
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| hal-00432221, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00432221 | |
| oai:hal.archives-ouvertes.fr:hal-00432221 | |
| Contributeur : Olivier Bodini | |
| Soumis le : Samedi 14 Novembre 2009, 22:01:49 | |
| Dernière modification le : Samedi 14 Novembre 2009, 22:04:48 | |
