On the concentration of the chromatic number of a random hypergraph

The problem on the limit distribution of the chromatic number of a random uniform hypergraph in the sparse case is studied. It is shown that, for most parameters values, the limit distribution of the chromatic number is concentrated at precisely one point, which can be found explicitly.

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Veröffentlicht in:Doklady. Mathematics 2017-07, Vol.96 (1), p.321-325
1. Verfasser: Shabanov, D. A.
Format: Artikel
Sprache:eng
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Zusammenfassung:The problem on the limit distribution of the chromatic number of a random uniform hypergraph in the sparse case is studied. It is shown that, for most parameters values, the limit distribution of the chromatic number is concentrated at precisely one point, which can be found explicitly.
ISSN:1064-5624
1531-8362
DOI:10.1134/S1064562417040044