We present a VNS algorithm for the Critical Node Problem, i.e., the maximal fragmentation of a graph through the deletion of k nodes. Two computational efficient neighbourhoods are proposed proving also their equivalence to the straightforward exchange of two nodes. The results of the proposed VNS algorithms outperform those currently available in literature.

VNS solutions for the critical node problem / Aringhieri, Roberto; Grosso, Andrea; Hosteins, Pierre; Scatamacchia, Rosario. - In: ELECTRONIC NOTES IN DISCRETE MATHEMATICS. - ISSN 1571-0653. - 47:(2015), pp. 37-44. [10.1016/j.endm.2014.11.006]

VNS solutions for the critical node problem

SCATAMACCHIA, ROSARIO
2015

Abstract

We present a VNS algorithm for the Critical Node Problem, i.e., the maximal fragmentation of a graph through the deletion of k nodes. Two computational efficient neighbourhoods are proposed proving also their equivalence to the straightforward exchange of two nodes. The results of the proposed VNS algorithms outperform those currently available in literature.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2639637
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