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Publisher: Springer Science+Business Media B.V., Formerly Kluwer Academic Publishers B.V.
ISSN: 0167-8094 (Paper) 1572-9273 (Online)
DOI: 10.1007/BF00383943
Issue:  Volume 9, Number 3
Date:  September 1992
Pages: 203 - 204
The number of orders with thirteen elements

Claude Chaunier1, 2 and Nik Lygeromacrs1, 2

(1)  Departement de Mathématiques, Université de Lyon-1, 43, boulevard du 11-Novembre-1918, 69622 Villeurbanne Cedex, France
(2)  Singularité, 141 avenue de Saxe, 69003 Lyon, France

Received: 7 August 1992  Accepted: 10 August 1992  

Communicated by I. Rival
Abstract  The number of non-isomorphic posets on 13 elements is P13=33,823,827,4521. This extends our previous result P12 which constituted the greatest known value. A table enumerates the posets according to their number of relations.

Mathematics Subject Classifications (1991)  Primary 06-04 - secondary 06A07 - 05C30

Key words  Unlabeled - partial orders - computer - enumeration

1 An announcement of this result was sent to the Abstracts of the A.M.S. on July 4th, 1992.

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