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» The t-Improper Chromatic Number of Random Graphs
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CPC
2010
89views more  CPC 2010»
13 years 4 months ago
The t-Improper Chromatic Number of Random Graphs
Ross J. Kang, Colin McDiarmid
RSA
2008
125views more  RSA 2008»
13 years 4 months ago
The game chromatic number of random graphs
: Given a graph G and an integer k, two players take turns coloring the vertices of G one by one using k colors so that neighboring vertices get different colors. The first player ...
Tom Bohman, Alan M. Frieze, Benny Sudakov
ENDM
2000
121views more  ENDM 2000»
13 years 4 months ago
Finding the chromatic number by means of critical graphs
We propose a new exact algorithm for finding the chromatic number of a graph G. The algorithm attempts to determine the smallest possible induced subgraph G' of G which has t...
Francine Herrmann, Alain Hertz
FCT
2009
Springer
13 years 11 months 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
STOC
2004
ACM
134views Algorithms» more  STOC 2004»
14 years 5 months ago
The two possible values of the chromatic number of a random graph
Given d (0, ) let kd be the smallest integer k such that d < 2k log k. We prove that the chromatic number of a random graph G(n, d/n) is either kd or kd + 1 almost surely.
Dimitris Achlioptas, Assaf Naor