Title
Local search metaheuristics for the critical node problem.
Abstract
We present two metaheuristics for the Critical Node Problem, that is, the maximal fragmentation of a graph through the deletion of k nodes. The two metaheuristics are based on the Iterated Local Search and Variable Neighborhood Search frameworks. Their main characteristic is to exploit two smart and computationally efficient neighborhoods which we show can be implemented far more efficiently than the classical neighborhood based on the exchange of any two nodes in the graph, and which we prove is equivalent to the classical neighborhood in the sense that it yields the same set of neighbors. Solutions to improve the overall running time without deteriorating the quality of the solution computed are also illustrated. The results of the proposed metaheuristics outperform those currently available in literature. (c) 2016 Wiley Periodicals, Inc. NETWORKS, Vol. 67(3), 209-221 2016
Year
DOI
Venue
2016
10.1002/net.21671
NETWORKS
Keywords
Field
DocType
critical node problem,graph fragmentation,metaheuristics
Graph,Combinatorics,Mathematical optimization,Variable neighborhood search,Differential evolution,Exploit,Local search (optimization),Mathematics,Iterated local search,Metaheuristic
Journal
Volume
Issue
ISSN
67.0
SP3.0
0028-3045
Citations 
PageRank 
References 
13
0.56
12
Authors
4
Name
Order
Citations
PageRank
R. Aringhieri1403.75
Andrea Grosso245028.55
Pierre Hosteins3505.14
Rosario Scatamacchia4587.66