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» The Chromatic Number Of Graph Powers
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83
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WG
2004
Springer
15 years 5 months ago
Coloring a Graph Using Split Decomposition
We show how to use split decomposition to compute the weighted clique number and the chromatic number of a graph and we apply these results to some classes of graphs. In particular...
Michaël Rao
100
Voted
ALGORITHMICA
2004
150views more  ALGORITHMICA 2004»
14 years 11 months ago
Sum Coloring of Bipartite Graphs with Bounded Degree
We consider the Chromatic Sum Problem on bipartite graphs which appears to be much harder than the classical Chromatic Number Problem. We prove that the Chromatic Sum Problem is NP...
Michal Malafiejski, Krzysztof Giaro, Robert Jancze...
79
Voted
DM
2008
112views more  DM 2008»
14 years 11 months ago
Coloring the Cartesian sum of graphs
For graphs G and H, let G H denote their Cartesian sum. This paper investigates the chromatic number and the circular chromatic number for GH. It is proved that (G H) max{ c(G)...
Daphne Der-Fen Liu, Xuding Zhu
86
Voted
EJC
2008
14 years 11 months ago
Fractional chromatic number of distance graphs generated by two-interval sets
Let D be a set of positive integers. The distance graph generated by D, denoted by G(Z, D), has the set Z of all integers as the vertex Supported in part by the National Science ...
Daphne Der-Fen Liu, Xuding Zhu
75
Voted
DM
2000
99views more  DM 2000»
14 years 11 months ago
Chromatically unique bipartite graphs with low 3-independent partition numbers
For integers p; q; s with p
Feng Ming Dong, Khee Meng Koh, Kee L. Teo, Charles...