About the largest subtree common to several X-trees

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About the largest subtree common to several X-trees

résumé – Etant donnés plusieurs X-arbres, ou arbres phylogénétiques, sur le même ensemble X, nous cherchons à construire un plus grand sous-ensemble Y ⊂ X tel que les arbres partiels induits sur Y soient identiques d’un point de vue topologique, c’est-à-dire indépendemment des longueurs des arêtes. Ce problème, connu sous le nom de MAST (Maximum Agreement SubTree), est NP-Difficile, dans le cas...

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Approximation Algorithms for the Largest Common Subtree Problem

The largest common subtree problem is to nd a largest tree which occurs as a common subgraph in a given collection of trees. Let n denote the number of vertices in the largest tree in the collection. We show that in the case of bounded degree trees, it is possible to achieve an approximation ratio of O(n(log logn)= log n). For unbounded degree trees, we give an algorithm with approximation rati...

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On the Maximum Common Embedded Subtree Problem for Ordered Trees

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ژورنال

عنوان ژورنال: Mathématiques et sciences humaines

سال: 2010

ISSN: 0987-6936,1950-6821

DOI: 10.4000/msh.11751