NDLI: Discrete Ordered Sets whose Covering Graphs are Median

Content Provider	Scilit
Author	Bandelt, Hans-J.
Copyright Year	1984
Description	As is well known the covering graph (= Hasse diagram) of any median semilattice is a median graph, and every median graph is the covering graph of some median semilattice. The purpose of this note is to prove that an ordered set is a median semilattice whenever (i) no interval contains an infinite chain, (ii) each pair of elements is bounded below, and (iii) the covering graph is median.
Related Links	http://www.ams.org/proc/1984-91-01/S0002-9939-1984-0735552-6/S0002-9939-1984-0735552-6.pdf
Ending Page	8
Page Count	3
Starting Page	6
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2045257
Journal	Proceedings of the American Mathematical Society
Issue Number	1
Volume Number	91
Language	English
Publisher	Duke University Press
Access Restriction	Open
Subject Keyword	Logic Covering Graphs Median Discrete Ordered Sets
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Discrete Ordered Sets whose Covering Graphs are Median