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» On the Chromatic Number of Random Graphs
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IWOCA
2009
Springer
152views Algorithms» more  IWOCA 2009»
15 years 10 months ago
Better Polynomial Algorithms on Graphs of Bounded Rank-Width
Abstract. Although there exist many polynomial algorithms for NPhard problems running on a bounded clique-width expression of the input graph, there exists only little comparable w...
Robert Ganian, Petr Hlinený
APPROX
2004
Springer
125views Algorithms» more  APPROX 2004»
15 years 9 months ago
Strong Refutation Heuristics for Random k-SAT
A simple first moment argument shows that in a randomly chosen k-SAT formula with m clauses over n boolean variables, the fraction of satisfiable clauses is 1−2−k +o(1) as m/...
Amin Coja-Oghlan, Andreas Goerdt, André Lan...
WEA
2005
Springer
154views Algorithms» more  WEA 2005»
15 years 9 months ago
Experimental Evaluation of the Greedy and Random Algorithms for Finding Independent Sets in Random Graphs
This work is motivated by the long-standing open problem of designing a polynomial-time algorithm that with high probability constructs an asymptotically maximum independent set in...
Mark K. Goldberg, D. Hollinger, Malik Magdon-Ismai...
COMBINATORICA
2008
123views more  COMBINATORICA 2008»
15 years 2 months ago
Counting canonical partitions in the random graph
Algorithms are given for computing the number of n-element diagonal sets and the number of n-element strongly diagonal sets of binary sequences of length at most 2n - 2. The first...
Jean A. Larson
DM
2010
143views more  DM 2010»
15 years 4 months ago
Acyclic improper colourings of graphs with bounded maximum degree
For graphs of bounded maximum degree, we consider acyclic t-improper colourings, that is, colourings in which each bipartite subgraph consisting of the edges between two colour cl...
Louigi Addario-Berry, Louis Esperet, Ross J. Kang,...