Subhypergraphs in non-uniform random hypergraphs
نویسندگان
چکیده
منابع مشابه
Subhypergraphs in Non-uniform Random Hypergraphs
In this paper we focus on the problem of finding (small) subhypergraphs in a (large) hypergraph. We use this problem to illustrate that reducing hypergraph problems to graph problems by working with the 2-section is not always a reasonable approach. We begin by defining a generalization of the binomial random graph model to hypergraphs and formalizing several definitions of subhypergraph. The b...
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There are several topological results ensuring in any properly colored graph the existence of a colorful complete bipartite subgraph, whose order is bounded from below by some topological invariants of some topological spaces associated to the graph. Meunier [Electron. J. Combin., 2014] presented the first colorful type result for uniform hypergraphs. In this paper, we give some new generalizat...
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Myriad problems can be described in hypergraph terms. However, the theory and tools are not sufficiently developed to allow most problems to be tackled directly within this context. The main purpose of this paper is to increase the awareness of this important gap and to encourage the development of this formal theory, in conjunction with the consideration of concrete applications. As a starting...
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Non-uniform hypergraphs appear in various domains of computer science as in the satisfiability problems and in data analysis. We analyse a general model where the probability for an edge of size t to belong to the hypergraph depends of a parameter ωt of the model. It is a natural generalization of the models of graphs used by Flajolet, Knuth and Pittel [1] and Janson, Knuth, Luczak and Pittel [...
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Using a Zq-generalization of a theorem of Ky Fan, we extend to Kneser hypergraphs a theorem of Simonyi and Tardos that ensures the existence of multicolored complete bipartite graphs in any proper coloring of a Kneser graph. It allows to derive a lower bound for the local chromatic number of Kneser hypergraphs (using a natural definition of what can be the local chromatic number of a uniform hy...
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ژورنال
عنوان ژورنال: Internet Mathematics
سال: 2018
ISSN: 1944-9488
DOI: 10.24166/im.03.2018