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» On the Maximum Number of Cliques in a Graph
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CATS
2008
14 years 11 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
85
Voted
DAM
2008
131views more  DAM 2008»
14 years 9 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...
87
Voted
SWAT
1994
Springer
117views Algorithms» more  SWAT 1994»
15 years 1 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...
74
Voted
EVOW
2007
Springer
15 years 3 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...
107
Voted
SIAMJO
2002
142views more  SIAMJO 2002»
14 years 9 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...