ISSN:
0219-3094
Keywords:
04A03
;
04A20
;
05C99
;
52B99
;
92B99
;
Buneman graph
;
cluster theory
;
split systems
;
split decomposition
;
T-theory
;
T-construction
;
pairwise compatibility
;
weak compatibility
;
median networks
;
hypercube
;
phylogenetic trees
;
phylogenetic networks
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract It is possible to consider two variants of cluster theory: Inaffine cluster theory, one considers collections ofsubsets of a given setX of objects or states, whereas inprojective cluster theory, one considers collections ofsplits (orbipartitions) of that set. In both contexts, it can be desirable to produce acontinuous model, that is, a spaceT encompassing the given setX which represents in a well-specified and more or less parsimonious way all possibleintermediate objects ortransition states compatible with certain restrictions derived from the given collection of subsets or splits. We investigate an interesting and intriguing relationship between two such constructions that appear in the context of projective cluster theory: TheBuneman construction and thetight-span (or justT)construction.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01608527
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