Axiomatic characterization of transit functions of hierarchies
Changat, Manoj ; Nezhad, Ferdoos Hossein ; Stadler, Peter F.
ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017), / Harvested from ARS MATHEMATICA CONTEMPORANEA
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Transit functions provide a unifying approach to many results on intervals, convexities, and betweenness. Here we show that hierarchical structures arising in cluster analysis and phylogenetics have a natural characterization in terms of transit functions and that hierarchies are identified by multiple combinations of independent axioms.

Publié le : 2017-01-01
DOI : https://doi.org/10.26493/1855-3974.831.e12 
@article{831,
     title = {Axiomatic characterization of transit functions of hierarchies},
     journal = {ARS MATHEMATICA CONTEMPORANEA},
     volume = {14},
     year = {2017},
     doi = {10.26493/1855-3974.831.e12},
     language = {EN},
     url = {http://dml.mathdoc.fr/item/831}
}

Changat, Manoj; Nezhad, Ferdoos Hossein; Stadler, Peter F. Axiomatic characterization of transit functions of hierarchies. ARS MATHEMATICA CONTEMPORANEA, Tome 14 (2017) . doi : 10.26493/1855-3974.831.e12. http://gdmltest.u-ga.fr/item/831/