A regular decomposition of the edge-product space of phylogenetic trees
2008 (English)In: Advances in Applied Mathematics, ISSN 0196-8858, Vol. 14, no 2, 158-176 p.Article in journal (Refereed) Published
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. 14, no 2, 158-176 p.
Trees; Forests; Partitions; Poset; Regular cell complex; Recursive coatom ordering
IdentifiersURN: urn:nbn:se:liu:diva-18010DOI: 10.1016/j.aam.2006.07.007OAI: oai:DiVA.org:liu-18010DiVA: diva2:214014
Jonna Gill, Svante Linusson, Vincent Moulton and Mike Steel, A regular decomposition of the edge-product space of phylogenetic trees, 2008, Advances in Applied Mathematics, (14), 2, 158-176.
Copyright: Elsevier Science B.V., Amsterdam