Four characters suffice to convexly define a phylogenetic tree

Type of content
Journal Article
Publisher's DOI/URI
Thesis discipline
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Publisher
University of Canterbury. Mathematics and Statistics
Journal Title
Journal ISSN
Volume Title
Language
Date
2005
Authors
Huber, K.
Moulton, V.
Steel, M.
Abstract

It was recently shown that just five characters (functions on a finite set X) suffice to convexly define a trivalent tree with leaf set X. Here we show that four characters suffice which, since three characters is not enough in general, is the best possible.

Description
Citation
Huber, K., Moulton, V., Steel, M. (2005) Four characters suffice to convexly define a phylogenetic tree. SIAM Journal on Discrete Mathematics, 18(4), pp. 835-843.
Keywords
phylogenetic tree, x-tree, convexly define, display, semidyadic closure, character compatibility
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ANZSRC fields of research
Rights
©2005 Society for Industrial and Applied Mathematics