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» On the Maximum Number of Cliques in a Graph
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CATS
2008
13 years 9 months ago
Parameterized Complexity of the Clique Partition Problem
The problem of deciding whether the edge-set of a given graph can be partitioned into at most k cliques is well known to be NP-complete. In this paper we investigate this problem ...
Egbert Mujuni, Frances A. Rosamond
DAM
2008
131views more  DAM 2008»
13 years 7 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
13 years 11 months ago
Improved Approximations of Independent Sets in Bounded-Degree Graphs
Abstract. Finding maximum independent sets in graphs with bounded maximum degree is a well-studied NP-complete problem. We introduce an algorithm schema for improving the approxim...
Magnús M. Halldórsson, Jaikumar Radh...
EVOW
2007
Springer
14 years 1 months 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...
SIAMJO
2002
142views more  SIAMJO 2002»
13 years 7 months ago
A Complementary Pivoting Approach to the Maximum Weight Clique Problem
Given an undirected graph with positive weights on the vertices, the maximum weight clique problem (MWCP) is to find a subset of mutually adjacent vertices (i.e., a clique) having ...
Alessio Massaro, Marcello Pelillo, Immanuel M. Bom...