Peeling phylogenetic 'oranges'

Vincent Moulton, Mike Steel

Research output: Contribution to journalArticle

23 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)710-727
Number of pages18
JournalAdvances in Applied Mathematics
Volume33
Issue number4
DOIs
Publication statusPublished - Nov 2004

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