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» On the Chromatic Number of Random Graphs
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DAM
2007
141views more  DAM 2007»
14 years 11 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
CPC
2007
101views more  CPC 2007»
14 years 11 months ago
Colouring Random 4-Regular Graphs
We show that a random 4-regular graph asymptotically almost surely (a.a.s.) has chromatic number 3. The proof uses an efficient algorithm which a.a.s. 3colours a random 4-regular ...
Lingsheng Shi, Nicholas C. Wormald
75
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ICANNGA
2007
Springer
141views Algorithms» more  ICANNGA 2007»
15 years 5 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
68
Voted
RSA
1998
105views more  RSA 1998»
14 years 11 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
ENDM
2010
111views more  ENDM 2010»
14 years 11 months ago
Clique and chromatic number of circular-perfect graphs
A main result of combinatorial optimization is that clique and chromatic number of a perfect graph are computable in polynomial time (Gr
Arnaud Pêcher, Annegret Katrin Wagler