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» On the Chromatic Thresholds of Hypergraphs
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COMBINATORICS
2000
124views more  COMBINATORICS 2000»
13 years 4 months ago
Colouring Planar Mixed Hypergraphs
A mixed hypergraph is a triple H = (V, C, D) where V is the vertex set and C and D are families of subsets of V , the C-edges and D-edges, respectively. A k-colouring of H is a ma...
André Kündgen, Eric Mendelsohn, Vitaly...
ICAPR
2005
Springer
13 years 10 months ago
Weighted Adaptive Neighborhood Hypergraph Partitioning for Image Segmentation
Abstract. The aim of this paper is to present an improvement of a previously published algorithm. The proposed approach is performed in two steps. In the first step, we generate t...
Soufiane Rital, Hocine Cherifi, Serge Miguet
MST
2008
141views more  MST 2008»
13 years 4 months ago
From a Zoo to a Zoology: Towards a General Theory of Graph Polynomials
Abstract. We outline a general theory of graph polynomials which covers all the examples we found in the vast literature, in particular, the chromatic polynomial, various generaliz...
Johann A. Makowsky
JCT
2007
112views more  JCT 2007»
13 years 4 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
GC
2002
Springer
13 years 4 months ago
The Chromatic Spectrum of Mixed Hypergraphs
A mixed hypergraph is a triple H = (X, C, D), where X is the vertex set, and each of C, D is a list of subsets of X. A strict k-coloring of H is a surjection c : X {1, . . . , k}...
Tao Jiang, Dhruv Mubayi, Zsolt Tuza, Vitaly I. Vol...