Finding a maximum clique in an arbitrary graph
SIAM Journal on Computing
A neural network model for finding a near-maximum clique
Journal of Parallel and Distributed Computing - Special issue on neural computing on massively parallel processing
Algorithm 457: finding all cliques of an undirected graph
Communications of the ACM
Tabu Search
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
Genetic, Iterated and Multistart Local Search for the Maximum Clique Problem
Proceedings of the Applications of Evolutionary Computing on EvoWorkshops 2002: EvoCOP, EvoIASP, EvoSTIM/EvoPLAN
Simple and Fast: Improving a Branch-And-Bound Algorithm for Maximum Clique
ESA '02 Proceedings of the 10th Annual European Symposium on Algorithms
A hybrid heuristic for the maximum clique problem
Journal of Heuristics
An Efficient Branch-and-bound Algorithm for Finding a Maximum Clique with Computational Experiments
Journal of Global Optimization
Simple ingredients leading to very efficient heuristics for the maximum clique problem
Journal of Heuristics
Dynamic local search for the maximum clique problem
Journal of Artificial Intelligence Research
An efficient branch-and-bound algorithm for finding a maximum clique
DMTCS'03 Proceedings of the 4th international conference on Discrete mathematics and theoretical computer science
Combining Graph Structure Exploitation and Propositional Reasoning for the Maximum Clique Problem
ICTAI '10 Proceedings of the 2010 22nd IEEE International Conference on Tools with Artificial Intelligence - Volume 01
A simple and faster branch-and-bound algorithm for finding a maximum clique
WALCOM'10 Proceedings of the 4th international conference on Algorithms and Computation
A new table of constant weight codes
IEEE Transactions on Information Theory
An exact algorithm for the maximum clique problem
Operations Research Letters
Fast local search for the maximum independent set problem
Journal of Heuristics
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In this paper we present improvements to one of the most recent and fastest branch-and-bound algorithm for the maximum clique problem--MCS algorithm by Tomita et al. (Proceedings of the 4th international conference on Algorithms and Computation, WALCOM'10, pp. 191---203, 2010). The suggested improvements include: incorporating of an efficient heuristic returning a high-quality initial solution, fast detection of clique vertices in a set of candidates, better initial colouring, and avoiding dynamic memory allocation. Our computational study shows some impressive results, mainly we have solved p_hat1000-3 benchmark instance which is intractable for MCS algorithm and got speedups of 7, 3000, and 13000 times for gen400_p0.9_55, gen400_p0.9_65, and gen400_p0.9_75 instances correspondingly.