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Medians and Majorities in Semimodular Posets

✍ Scribed by Robert C. Powers


Book ID
108497946
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
37 KB
Volume
2
Category
Article
ISSN
1571-0653

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Lattice valuations, medians and majoriti
✍ Bruno Leclerc πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 793 KB

Medians in a finite semilattice endowed with a metric of a classical type are considered. First, upper valuations and their associated metrics are characterized by the fact that the majority rule provides a lower bound for the medians. The set of all the medians is more precisely described in the ca

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✍ Jean-Pierre BarthΓ©lemy; Julien Constantin πŸ“‚ Article πŸ“… 1993 πŸ› Elsevier Science 🌐 English βš– 989 KB

A notion of parallelism is defined in finite median graphs and a number of properties about geodesics and the existence of cubes are obtained. Introducing sites as a double structure of partial order and graph on a set, it is shown that all median graphs can be constructed from sites and, in fact, t