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JCT
2007
112views more  JCT 2007»
14 years 10 months ago
On generalized Kneser hypergraph colorings
In Ziegler (2002), the second author presented a lower bound for the chromatic numbers of hypergraphs KGr sssS, “generalized r-uniform Kneser hypergraphs with intersection multi...
Carsten E. M. C. Lange, Günter M. Ziegler
JCT
2006
75views more  JCT 2006»
14 years 10 months ago
Sperner labellings: A combinatorial approach
In 2002, De Loera, Peterson and Su proved the following conjecture of Atanassov: let T be a triangulation of a d-dimensional polytope P with n vertices v1, v2, . . . , vn; label t...
Frédéric Meunier
JCT
2002
59views more  JCT 2002»
14 years 9 months ago
Hypergraphs, Quasi-randomness, and Conditions for Regularity
Haviland and Thomason and Chung and Graham were the first to investigate systematically some properties of quasi-random hypergraphs. In particular, in a series of articles, Chung a...
Yoshiharu Kohayakawa, Vojtech Rödl, Jozef Sko...
JCT
2002
107views more  JCT 2002»
14 years 9 months ago
Asymmetric Binary Covering Codes
An asymmetric binary covering code of length n and radius R is a subset C of the n-cube Qn such that every vector x Qn can be obtained from some vector c C by changing at most R...
Joshua N. Cooper, Robert B. Ellis, Andrew B. Kahng
JCT
1998
193views more  JCT 1998»
14 years 9 months ago
Fractional Kernels in Digraphs
The aim of this note is to point out some combinatorial applications of a lemma of Scarf, proved first in the context of game theory. The usefulness of the lemma in combinatorics...
Ron Aharoni, Ron Holzman