Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Domination numbers and noncover complexes of hypergraphs   Let $\mathcal{H}$ be a hypergraph on a finite set $V$. A {\em cover} of
$\mathcal{H}$ is a set of vertices that meets all edges of $\mathcal{H}$. If
$W$ is not a cover of $\mathcal{H}$, then $W$ is said to be a {\em noncover} of
$\mathcal{H}$. The {\em noncover complex} of $\mathcal{H}$ is the abstract
simplicial complex whose faces are the noncovers of $\mathcal{H}$. In this
paper, we study homological properties of noncover complexes of hypergraphs. In
particular, we obtain an upper bound on their Leray numbers. The bound is in
terms of hypergraph domination numbers. Also, our proof idea is applied to
compute the homotopy type of the noncover complexes of certain uniform
hypergraphs, called {\em tight paths} and {\em tight cycles}. This extends to
hypergraphs known results on graphs.

0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ