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» A New Approach for Solving the Maximum Clique Problem
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SAC
2004
ACM
13 years 11 months ago
Solving the maximum clique problem by k-opt local search
This paper presents a local search algorithm based on variable depth search, called the k-opt local search, for the maximum clique problem. The k-opt local search performs add and...
Kengo Katayama, Akihiro Hamamoto, Hiroyuki Narihis...
LION
2007
Springer
138views Optimization» more  LION 2007»
14 years 4 days ago
A Continuous Characterization of Maximal Cliques in k-Uniform Hypergraphs
Abstract. In 1965 Motzkin and Straus established a remarkable connection between the local/global maximizers of the Lagrangian of a graph G over the standard simplex ∆ and the ma...
Samuel Rota Bulò, Marcello Pelillo
EVOW
2007
Springer
14 years 5 days ago
Iterated k-Opt Local Search for the Maximum Clique Problem
Abstract. This paper presents a simple iterated local search metaheuristic incorporating a k-opt local search (KLS), called Iterated KLS (IKLS for short), for solving the maximum c...
Kengo Katayama, Masashi Sadamatsu, Hiroyuki Narihi...
WEA
2009
Springer
123views Algorithms» more  WEA 2009»
14 years 24 days ago
Algorithms and Experiments for Clique Relaxations-Finding Maximum s-Plexes
We propose new practical algorithms to find degree-relaxed variants of cliques called s-plexes. An s-plex denotes a vertex subset in a graph inducing a subgraph where every vertex...
Hannes Moser, Rolf Niedermeier, Manuel Sorge
COCOON
2003
Springer
13 years 11 months ago
Matroid Representation of Clique Complexes
In this paper, we approach the quality of a greedy algorithm for the maximum weighted clique problem from the viewpoint of matroid theory. More precisely, we consider the clique c...
Kenji Kashiwabara, Yoshio Okamoto, Takeaki Uno