Title
Dynamic Local Search for the Maximum Clique Problem
Abstract
In this paper, we introduce DLS-MC, a new stochastic local search algorithm for the maxi- mum clique problem. DLS-MC alternates between phases of iterative improvement, during which suitable vertices are added to the current clique, and plateau search, during which vertices of the current clique are swapped with vertices not contained in the current clique. The selection of vertices is solely based on vertex penalties that are dynamically adjusted during the search, and a perturbation mechanism is used to overcome search stagnation. The behaviour of DLS-MC is controlled by a single parameter, penalty delay, which con- trols the frequency at which vertex penalties are reduced. We show empirically that DLS- MC achieves substantial performance improvements over state-of-the-art algorithms for the maximum clique problem over a large range of the commonly used DIMACS benchmark instances.
Year
DOI
Venue
2006
10.1613/jair.1815
J. Artif. Intell. Res. (JAIR)
Keywords
Field
DocType
local search,artificial intelligent
Mathematical optimization,Combinatorics,Clique,Vertex (geometry),Artificial intelligence,Local search (optimization),Mathematics,Machine learning,Clique problem
Journal
Volume
Issue
ISSN
25
1
Journal Of Artificial Intelligence Research, Volume 25, pages 159-185, 2006
Citations 
PageRank 
References 
86
3.13
19
Authors
2
Name
Order
Citations
PageRank
Wayne J. Pullan123212.73
Holger H. Hoos25327308.70