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» On the Strong Chromatic Number
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GC
2010
Springer
15 years 4 months ago
The b-Chromatic Number of Cubic Graphs
The b-chromatic number of a graph G is the largest integer k such that G admits a proper k-coloring in which every color class contains at least one vertex adjacent to some vertex...
Marko Jakovac, Sandi Klavzar
COMBINATORICA
2011
14 years 5 months ago
On the chromatic number of random geometric graphs
Given independent random points X1, . . . , Xn ∈ Rd with common probability distribution ν, and a positive distance r = r(n) > 0, we construct a random geometric graph Gn wi...
Colin McDiarmid, Tobias Müller
DM
2008
112views more  DM 2008»
15 years 6 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
FCT
2009
Springer
16 years 13 days ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
WAOA
2007
Springer
92views Algorithms» more  WAOA 2007»
15 years 12 months ago
Geometric Spanners with Small Chromatic Number
Prosenjit Bose, Paz Carmi, Mathieu Couture, Anil M...