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| HAL: hal-00432221, version 1 |
| arXiv: 0911.2807 |
| Detailed view |  Export this paper |
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| On the Minimum Size of a Contraction-Universal Tree |
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| Olivier Bodini 1 |
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| (2003-03-01) |
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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 Pierre et Marie Curie - Paris VI |
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| Subject | : | Computer Science/Discrete Mathematics |
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| Attached file list to this document: | ||||||||||
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| hal-00432221, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00432221/en/ | |
| oai:hal.archives-ouvertes.fr:hal-00432221_v1 | |
| From: Olivier Bodini | |
| Submitted on: Saturday, 14 November 2009 22:01:49 | |
| Updated on: Saturday, 14 November 2009 22:04:48 | |
