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  • Bandelt, HJ, et al. (author)
  • Quasi-median graphs from sets of partitions
  • 2002
  • In: Discrete Applied Mathematics. - 0166-218X .- 1872-6771. ; 122:23-35, s. 23-35
  • Journal article (pop. science, debate, etc.)abstract
    • In studies of molecular evolution, one is typically confronted with the task of inferring a phylogenetic tree from a set X of sequences of length n over a finite alphabet Lambda. For studies that invoke parsimony, it has been found helpful to consider the quasi-median graph generated by X in the Hamming graph Lambda(n). Although a great deal is already known about quasi-median graphs (and their algebraic counterparts), little is known about the quasi-median generation in Lambda(n) starting from a set X of vertices. We describe the vertices of the quasi-median graph generated by X in terms of the coordinatewise partitions of X. In particular, we clarify when the generated quasi-median graph is the so-called relation graph associated with X. This immediately characterizes the instances where either a block graph or the total Hamming graph is generated.
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  • Result 1-1 of 1
Type of publication
journal article (1)
Type of content
pop. science, debate, etc. (1)
Author/Editor
Moulton, Vincent (1)
Bandelt, HJ (1)
Huber, Katharina T (1)
University
Uppsala University (1)
Mid Sweden University (1)
Language
English (1)
Research subject (UKÄ/SCB)
Natural sciences (1)
Year
2002 (1)

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