A review on algorithms for maximum clique problems
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DOI: 10.1016/j.ejor.2014.09.064
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- Evgeny Maslov & Mikhail Batsyn & Panos Pardalos, 2014. "Speeding up branch and bound algorithms for solving the maximum clique problem," Journal of Global Optimization, Springer, vol. 59(1), pages 1-21, May.
- N. Bourgeois & A. Giannakos & G. Lucarelli & I. Milis & V. T. Paschos & O. Pottié, 2012. "The max quasi-independent set problem," Journal of Combinatorial Optimization, Springer, vol. 23(1), pages 94-117, January.
- Bourjolly, Jean-Marie & Laporte, Gilbert & Pesant, Gilles, 2002. "An exact algorithm for the maximum k-club problem in an undirected graph," European Journal of Operational Research, Elsevier, vol. 138(1), pages 21-28, April.
- Chams, M. & Hertz, A. & de Werra, D., 1987. "Some experiments with simulated annealing for coloring graphs," European Journal of Operational Research, Elsevier, vol. 32(2), pages 260-266, November.
- Jeffrey Pattillo & Nataly Youssef & Sergiy Butenko, 2012. "Clique Relaxation Models in Social Network Analysis," Springer Optimization and Its Applications, in: My T. Thai & Panos M. Pardalos (ed.), Handbook of Optimization in Complex Networks, chapter 0, pages 143-162, Springer.
- Lozano, M. & Molina, D. & GarcI´a-MartI´nez, C., 2011. "Iterated greedy for the maximum diversity problem," European Journal of Operational Research, Elsevier, vol. 214(1), pages 31-38, October.
- Micael Gallego & Abraham Duarte & Manuel Laguna & Rafael Martí, 2009. "Hybrid heuristics for the maximum diversity problem," Computational Optimization and Applications, Springer, vol. 44(3), pages 411-426, December.
- Qinghua Wu & Jin-Kao Hao & Fred Glover, 2012. "Multi-neighborhood tabu search for the maximum weight clique problem," Annals of Operations Research, Springer, vol. 196(1), pages 611-634, July.
- Ulrich Dorndorf & Florian Jaehn & Erwin Pesch, 2008. "Modelling Robust Flight-Gate Scheduling as a Clique Partitioning Problem," Transportation Science, INFORMS, vol. 42(3), pages 292-301, August.
- Steffen Rebennack & Marcus Oswald & Dirk Oliver Theis & Hanna Seitz & Gerhard Reinelt & Panos M. Pardalos, 2011. "A Branch and Cut solver for the maximum stable set problem," Journal of Combinatorial Optimization, Springer, vol. 21(4), pages 434-457, May.
- Wayne Pullan, 2006. "Phased local search for the maximum clique problem," Journal of Combinatorial Optimization, Springer, vol. 12(3), pages 303-323, November.
- Martí, Rafael & Gallego, Micael & Duarte, Abraham, 2010. "A branch and bound algorithm for the maximum diversity problem," European Journal of Operational Research, Elsevier, vol. 200(1), pages 36-44, January.
- Foad Mahdavi Pajouh & Zhuqi Miao & Balabhaskar Balasundaram, 2014. "A branch-and-bound approach for maximum quasi-cliques," Annals of Operations Research, Springer, vol. 216(1), pages 145-161, May.
- Dijkhuizen, G. & Faigle, U., 1993. "A cutting-plane approach to the edge-weighted maximal clique problem," European Journal of Operational Research, Elsevier, vol. 69(1), pages 121-130, August.
- M W Carter & D G Johnson, 2001. "Extended clique initialisation in examination timetabling," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 52(5), pages 538-544, May.
- R Aringhieri & R Cordone, 2011. "Comparing local search metaheuristics for the maximum diversity problem," Journal of the Operational Research Society, Palgrave Macmillan;The OR Society, vol. 62(2), pages 266-280, February.
- Feng, Bo & Jiang, Zhong-Zhong & Fan, Zhi-Ping & Fu, Na, 2010. "A method for member selection of cross-functional teams using the individual and collaborative performances," European Journal of Operational Research, Elsevier, vol. 203(3), pages 652-661, June.
- Francisco Barahona & Andrés Weintraub & Rafael Epstein, 1992. "Habitat Dispersion in Forest Planning and the Stable Set Problem," Operations Research, INFORMS, vol. 40(1-supplem), pages 14-21, February.
- Wu, Qinghua & Hao, Jin-Kao, 2013. "A hybrid metaheuristic method for the Maximum Diversity Problem," European Journal of Operational Research, Elsevier, vol. 231(2), pages 452-464.
- Park, Kyungchul & Lee, Kyungsik & Park, Sungsoo, 1996. "An extended formulation approach to the edge-weighted maximal clique problem," European Journal of Operational Research, Elsevier, vol. 95(3), pages 671-682, December.
- S. S. Ravi & D. J. Rosenkrantz & G. K. Tayi, 1994. "Heuristic and Special Case Algorithms for Dispersion Problems," Operations Research, INFORMS, vol. 42(2), pages 299-310, April.
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Keywords
Maximum clique problems; Exact algorithms; Heuristics; Applications;All these keywords.
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