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Reformulations and complexity of the clique interdiction problem by graph mapping.

Authors :
Mattia, Sara
Source :
Discrete Applied Mathematics. Sep2024, Vol. 354, p48-57. 10p.
Publication Year :
2024

Abstract

We show how to solve a maximum clique problem on a given graph by an equivalent problem on an auxiliary graph. The transformation has interesting consequences in the bilevel setting. In fact, it allows to map a clique interdiction problem with edge interdiction into a clique interdiction problem with node interdiction. As a byproduct of the mapping, we can generalize to the edge interdiction problem complexity and algorithmic results that hold for the node interdiction problem. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
0166218X
Volume :
354
Database :
Academic Search Index
Journal :
Discrete Applied Mathematics
Publication Type :
Academic Journal
Accession number :
177564762
Full Text :
https://doi.org/10.1016/j.dam.2021.06.008