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n-median semilattices

✍ Scribed by Hans-Jürgen Bandelt; Melvin F. Janowitz; Gerasimos C. Meletiou

Publisher
Springer Netherlands
Year
1991
Tongue
English
Weight
596 KB
Volume
8
Category
Article
ISSN
0167-8094

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✦ Synopsis

An n-median semllattice (n 2 3) is a meet-semilattice such that (i) every principal ideal is a distributive lattice and (ii) any n-element set of elements is bounded above whenever each of its (n -I)-element subsets has an upper bound. A 3-median semilattice is thus a median semilattice in the classical sense. In this note we demonstrate how the characteristic features of median semilattices carry over to the more general case of n-median semilattices.

📜 SIMILAR VOLUMES

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## Abstract The n‐cube is characterized as a connected regular graph in which for any three vertices __u, v__, and __w__ there is a unique vertex that lies simultaneously on a shortest (__u, v__)‐path, a shortest (__v, w__)‐path, and a shortest (__w, u__)‐path.

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