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DAM
2007
141views more  DAM 2007»
13 years 7 months ago
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees
The packing chromatic number χρ(G) of a graph G is the smallest integer k such that the vertex set of G can be partitioned into packings with pairwise different widths. Several...
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
APPML
2011
13 years 2 months ago
The fractional chromatic number of Zykov products of graphs
Zykov designed one of the oldest known family of triangle-free graphs with arbitrarily high chromatic number. We determine the fractional chromatic number of the Zykov product of ...
Pierre Charbit, Jean-Sébastien Sereni
DM
2002
101views more  DM 2002»
13 years 7 months ago
On generalized Ramsey numbers
Let f1 and f2 be graph parameters. The Ramsey number r(f1 m; f2 n) is defined as the minimum integer N such that any graph G on N vertices, either f1(G) m or f2(G) n. A genera...
Wai Chee Shiu, Peter Che Bor Lam, Yusheng Li
JCT
2008
92views more  JCT 2008»
13 years 7 months ago
3-Uniform hypergraphs of bounded degree have linear Ramsey numbers
Chv
Oliver Cooley, Nikolaos Fountoulakis, Daniela K&uu...
ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
14 years 1 months ago
On Sum Coloring of Graphs with Parallel Genetic Algorithms
Abstract. Chromatic number, chromatic sum and chromatic sum number are important graph coloring characteristics. The paper proves that a parallel metaheuristic like the parallel ge...
Zbigniew Kokosinski, Krzysztof Kwarciany