From Apresjan Hierarchies and Bandelt-Dress Weak hierarchies to Quasi-hierarchies View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

1994

AUTHORS

Jean Diatta , Bernard Fichet

ABSTRACT

The one-to-one correspondence between indexed hierarchies and ultrametrics is here extended to the one between indexed quasi-hierarchies and quasi-ultrametrics. Quasi-hierarchies are obtained by adding some usual axioms to the Bandelt and Dress weak hierarchies, whereas quasi-ultrametrics derive from a topological comparative approach of both Apresjan’s clusters and Bandelt-Dress weak clusters. Moreover, our bijection also extends the equivalence between indexed pseudo-hierarchies and strongly-Robinsonian dissimilarities. More... »

PAGES

111-118

References to SciGraph publications

Book

TITLE

New Approaches in Classification and Data Analysis

ISBN

978-3-540-58425-4
978-3-642-51175-2

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/978-3-642-51175-2_11

DOI

http://dx.doi.org/10.1007/978-3-642-51175-2_11

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1047431565


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