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Posets on up to 16 Points

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Abstract

In this article we describe a very efficient method to construct pairwise non-isomorphic posets (equivalently, T 0 topologies). We also give the results obtained by a computer program based on this algorithm, in particular the numbers of non-isomorphic posets on 15 and 16 points and the numbers of labelled posets and topologies on 17 and 18 points.

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Authors and Affiliations

  1. Fakultät für Mathematik, Universität Bielefeld, D 33501, Bielefeld, Germany

    Gunnar Brinkmann

  2. Department of Computer Science, Australian National University, ACT, 0200, Australia

    Brendan D. McKay

Authors
  1. Gunnar Brinkmann
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  2. Brendan D. McKay
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Brinkmann, G., McKay, B.D. Posets on up to 16 Points. Order 19, 147–179 (2002). https://doi.org/10.1023/A:1016543307592

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