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» On the Strong Chromatic Number of Random Graphs
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COMBINATORICA
2011
13 years 11 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
98
Voted
COMBINATORICS
2007
118views more  COMBINATORICS 2007»
14 years 11 months ago
On the Quantum Chromatic Number of a Graph
We investigate the notion of quantum chromatic number of a graph, which is the minimal number of colours necessary in a protocol in which two separated provers can convince a refe...
Peter J. Cameron, Ashley Montanaro, Michael W. New...
DAM
2008
134views more  DAM 2008»
14 years 11 months ago
Efficient algorithms for finding critical subgraphs
This paper presents algorithms to find vertex-critical and edgecritical subgraphs in a given graph G, and demonstrates how these critical subgraphs can be used to determine the ch...
Christian Desrosiers, Philippe Galinier, Alain Her...
66
Voted
CPC
2010
89views more  CPC 2010»
14 years 11 months ago
The t-Improper Chromatic Number of Random Graphs
Ross J. Kang, Colin McDiarmid
CPC
2002
76views more  CPC 2002»
14 years 11 months ago
Random Regular Graphs Of Non-Constant Degree: Independence And Chromatic Number
Colin Cooper, Alan M. Frieze, Bruce A. Reed, Olive...