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» On the Chromatic Thresholds of Hypergraphs
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ARSCOM
2004
175views more  ARSCOM 2004»
13 years 10 months ago
Circular Chromatic Number of Hypergraphs
The concept of circular chromatic number of graphs was introduced by Vince(1988). In this paper we define circular chromatic number of uniform hypergraphs and study their basic pr...
Changiz Eslahchi, Arash Rafiey
ARSCOM
2006
132views more  ARSCOM 2006»
13 years 11 months ago
C-Perfect K-Uniform Hypergraphs
In this paper we define the concept of clique number of uniform hypergraph and study its relationship with circular chromatic number and clique number. For every positive integer ...
Changiz Eslahchi, Arash Rafiey
APAL
2011
13 years 6 months ago
Dichotomy theorems for countably infinite dimensional analytic hypergraphs
Abstract. We give classical proofs, strengthenings, and generalizations of Lecomte’s characterizations of analytic ω-dimensional hypergraphs with countable Borel chromatic numbe...
Benjamin D. Miller
RSA
1998
105views more  RSA 1998»
13 years 10 months ago
The chromatic numbers of random hypergraphs
: For a pair of integers 1F␥-r, the ␥-chromatic number of an r-uniform Ž .hypergraph Hs V, E is the minimal k, for which there exists a partition of V into subsets < <T ...
Michael Krivelevich, Benny Sudakov
CORR
2012
Springer
173views Education» more  CORR 2012»
12 years 6 months ago
A new approach to the orientation of random hypergraphs
A h-uniform hypergraph H = (V, E) is called ( , k)-orientable if there exists an assignment of each hyperedge e ∈ E to exactly of its vertices v ∈ e such that no vertex is ass...
Marc Lelarge