The bi-objective critical node detection problem

Mario Ventresca, Kyle Robert Harrison and Beatrice M. Ombuki-Berman

European Journal of Operational Research, 2018, vol. 265, issue 3, 895-908

Abstract: Identifying critical nodes in complex networks has become an important task across a variety of application domains. The Critical Node Detection Problem (CNDP) is an optimization problem that aims to minimize pairwise connectivity in a graph by removing a subset of K nodes. Despite the CNDP being recognized as a bi-objective problem, until now only single-objective problem formulations have been proposed. In this paper, we propose a bi-objective version of the problem that aims to maximize the number of connected components in a graph while simultaneously minimizing the variance of their cardinalities by removing a subset of K nodes. We prove that our bi-objective formulation is distinct from the CNDP, despite their common motivation. Finally, we give a brief comparison of six common multi-objective evolutionary algorithms using sixteen common benchmark problem instances, including for the node-weighted CNDP. We find that of the examined algorithms, NSGAII generally produces the most desirable approximation fronts.

Keywords: Networks; Critical node detection; Multi-objective; Evolutionary algorithms (search for similar items in EconPapers)
Date: 2018
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0377221717307841
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:ejores:v:265:y:2018:i:3:p:895-908

DOI: 10.1016/j.ejor.2017.08.053

Access Statistics for this article

European Journal of Operational Research is currently edited by Roman Slowinski, Jesus Artalejo, Jean-Charles. Billaut, Robert Dyson and Lorenzo Peccati

More articles in European Journal of Operational Research from Elsevier
Bibliographic data for series maintained by Catherine Liu ().