Peeling phylogenetic 'oranges'

Moulton, Vincent and Steel, Mike (2004) Peeling phylogenetic 'oranges'. Advances in Applied Mathematics, 33 (4). pp. 710-727. ISSN 0196-8858

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Abstract

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.

Item Type: Article
Faculty \ School: Faculty of Science > School of Computing Sciences
Related URLs:
Depositing User: Vishal Gautam
Date Deposited: 04 Mar 2011 12:59
Last Modified: 17 Mar 2020 17:11
URI: https://ueaeprints.uea.ac.uk/id/eprint/23957
DOI: 10.1016/j.aam.2004.03.003

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