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» Local Convergence of Random Graph Colorings
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RSA
2010
108views more  RSA 2010»
13 years 3 months ago
Resolvent of large random graphs
We analyze the convergence of the spectrum of large random graphs to the spectrum of a limit infinite graph. We apply these results to graphs converging locally to trees and deri...
Charles Bordenave, Marc Lelarge
AUSAI
2003
Springer
13 years 10 months ago
A New Hybrid Genetic Algorithm for the Robust Graph Coloring Problem
Abstract. The RGCP (Robust Graph Coloring problem) is a new variant of the traditional graph coloring problem. It has numerous practical applications in real world like timetabling...
Ying Kong, Fan Wang, Andrew Lim, Songshan Guo
ICALP
2011
Springer
12 years 8 months ago
Vertex Cover in Graphs with Locally Few Colors
In [13], Erd˝os et al. defined the local chromatic number of a graph as the minimum number of colors that must appear within distance 1 of a vertex. For any ∆ ≥ 2, there are ...
Fabian Kuhn, Monaldo Mastrolilli
STOC
2010
ACM
220views Algorithms» more  STOC 2010»
13 years 8 months ago
Combinatorial approach to the interpolation method and scaling limits in sparse random graphs
We establish the existence of free energy limits for several sparse random hypergraph models corresponding to certain combinatorial models on Erd¨os-R´enyi graph G(N, c/N) and r...
Mohsen Bayati, David Gamarnik, Prasad Tetali
COR
2010
146views more  COR 2010»
13 years 4 months ago
A search space "cartography" for guiding graph coloring heuristics
We present a search space analysis and its application in improving local search algorithms for the graph coloring problem. Using a classical distance measure between colorings, w...
Daniel Cosmin Porumbel, Jin-Kao Hao, Pascale Kuntz