A computation of the ninth Dedekind Number

In this article, we present an algorithm to compute the 9th Dedekind Number. The key aspects are the use of matrix multiplication and symmetries in the free distributive lattice, which are detected with techniques from Formal Concept Analysis.

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1. Verfasser: Jäkel, Christian
Format: Artikel
Sprache:eng
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Zusammenfassung:In this article, we present an algorithm to compute the 9th Dedekind Number. The key aspects are the use of matrix multiplication and symmetries in the free distributive lattice, which are detected with techniques from Formal Concept Analysis.
DOI:10.48550/arxiv.2304.00895