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» The fractional chromatic number of Zykov products of graphs
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JGT
2008
103views more  JGT 2008»
13 years 7 months ago
Game coloring the Cartesian product of graphs
: This article proves the following result: Let G and G be graphs of orders n and n , respectively. Let G be obtained from G by adding to each vertex a set of n degree 1 neighbors....
Xuding Zhu
EJC
2008
13 years 7 months ago
Fractional coloring and the odd Hadwiger's conjecture
Gerards and Seymour (see [T.R. Jensen, B. Toft, Graph Coloring Problems, Wiley-Interscience, 1995], page 115) conjectured that if a graph has no odd complete minor of order p, the...
Ken-ichi Kawarabayashi, Bruce A. Reed
SIAMDM
2008
154views more  SIAMDM 2008»
13 years 7 months ago
On the First-Fit Chromatic Number of Graphs
The first-fit chromatic number of a graph is the number of colors needed in the worst case of a greedy coloring. It is also called the Grundy number, which is defined to be the max...
József Balogh, Stephen G. Hartke, Qi Liu, G...
DM
2008
112views more  DM 2008»
13 years 7 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
WG
2010
Springer
13 years 5 months ago
max-cut and Containment Relations in Graphs
book Author Title 58 Bijo S Anand Atoms and clique separators in graph products 59 Asir T Domination in total graph of a commutative ring 60 Sharada B On the Neighbourhood Subdivi...
Marcin Kaminski