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A regular decomposition of the edge-product space of phylogenetic trees
KTH, School of Engineering Sciences (SCI), Mathematics (Dept.), Mathematics (Div.).ORCID iD: 0000-0001-6339-2230
2008 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, E-ISSN 1090-2074, Vol. 41, no 2, 158-176 p.Article in journal (Refereed) Published
Abstract [en]

We investigate the topology and combinatorics of a topological space called the edge-product space that is generated by the set of edge-weighted finite labelled trees. This space arises by multiplying the weights of edges on paths in trees, and is closely connected to tree-indexed Markov processes in molecular evolutionary biology. In particular, by considering combinatorial properties of the Tuffley poset of labelled forests, we show that the edge-product space has a regular cell decomposition with face poset equal to the Tuffley poset.

Place, publisher, year, edition, pages
2008. Vol. 41, no 2, 158-176 p.
Keyword [en]
trees, forests, partitions, poset, regular cell complex, recursive, coatom ordering, geometry, oranges, maps
Identifiers
URN: urn:nbn:se:kth:diva-17641DOI: 10.1016/j.aam.2006.07.007ISI: 000257149000002Scopus ID: 2-s2.0-43449134349OAI: oai:DiVA.org:kth-17641DiVA: diva2:335685
Note
QC 20100525Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Linusson, Svante

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