[XeTeX] auto generation of LaTeX code for Hasse diagrams?

Daniel Greenhoe dgreenhoe at gmail.com
Tue Aug 29 02:58:36 CEST 2017


Does anyone know of any software for the generation, outputing LaTeX
syntax, of Hasse diagrams for lattices (from order theory/lattice
theory)?

The number of unlabeled lattices over sets with n=1,2,3,... elements is
  1, 1, 1, 1, 2, 5, 15, 53, 222, 1078, 5994, ... , respectively
(reference: http://oeis.org/A006966).

An algorithm for such a generator is apparently described in Kyuno's
1979 paper: https://doi.org/10.1090/S0025-5718-1979-0514837-9

I have generated LaTeX source files for Hasse diagrams of unlabeled
lattices orders 1--7 and uploaded them to github along with some
documentation (pdf file): https://github.com/dgreenhoe/hasse

If anyone has order 8 (222 lattices) or higher source already written,
maybe consider uploading the source files to github?


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