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Peeling phylogenetic 'oranges'
Uppsala University, Teknisk-naturvetenskapliga vetenskapsområdet, Faculty of Science and Technology, Biology, The Linnaeus Centre for Bioinformatics.
2004 (Swedish)In: Advances in Applied Mathematics, Vol. 33, no 4, 710-727 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the combinatorics of a topological space that is generated by the set of edge-weighted finite trees. This space arises by multiplying the weights of edges on paths in trees and is closely connected to tree reconstruction problems involving finite state Markov processes. We show that this space is a contractible finite CW-complex whose face poset can be described via a partial order on semilabelled forests. We then describe some combinatorial properties of this poset, showing that, for example, it is pure, thin and contractible. (C) 2004 Elsevier Inc. All rights reserved.

Place, publisher, year, edition, pages
2004. Vol. 33, no 4, 710-727 p.
Keyword [en]
trees, forests, partitions, poser, contractibility, geometry
Identifiers
URN: urn:nbn:se:uu:diva-71812OAI: oai:DiVA.org:uu-71812DiVA: diva2:99723
Available from: 2005-05-12 Created: 2005-05-12 Last updated: 2011-01-12

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