A class of models for random hypergraphs
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DOI: 10.1103/physreve.106.064310
Abstract: Despite the recently exhibited importance of higher-order interactions for various processes, few flexible (null) models are available. In particular, most studies on hypergraphs focus on a small set of theoretical models. Here, we introduce a… read more here.
Keywords: models random; random hypergraphs; class models;
Bounds on Threshold Probabilities for Coloring Properties of Random Hypergraphs
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DOI: 10.1134/s0032946022010057
Abstract: We study the threshold probability for the property of existence of a special-form $$r$$ -coloring for a random $$k$$ -uniform hypergraph in the $$H(n,k,p)$$ binomial model. A parametric set of $$j$$ -chromatic numbers of a random… read more here.
Keywords: coloring properties; threshold probabilities; properties random; bounds threshold ... See more keywords