The number of orders
with thirteen elements Claude Chaunier1, 2 and
Nik Lyger s1, 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
P 13=33,823,827,452 1.
This extends our previous result P 12 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. |
The references of this article are secured to
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