Abstract
Critical node detection is a crucial task in network analysis. In this article a new problem is proposed, the critical node detection in hypergraphs, which are a generalization of the ‘traditional’ graphs. A genetic algorithm is proposed to solve this problem and as an application an inflation dataset is transformed in a hypergraph and critical nodes are obtained. The numerical experiments performed on synthetic benchmarks show the potential of the proposed method.
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Notes
- 1.
https://www.santofortunato.net/resources, last accessed 1/9/2021.
- 2.
https://dice.ifo.de/en/node/358439, last accessed 20/09/2021.
References
Arulselvan, A., Commander, C.W., Pardalos, P.M., Shylo, O.: Managing network risk via critical node identification. Risk Manag. Telecommun. Netw. (2007)
Berge, C.: Hypergraphs: Combinatorics of Finite Sets, vol. 45. Elsevier, Amsterdam (1984)
Borgatti, S.P.: Identifying sets of key players in a social network. Comput. Math. Organ. Theory 12(1), 21–34 (2006)
Feng, Y., You, H., Zhang, Z., Ji, R., Gao, Y.: Hypergraph neural networks. In: Proceedings of the AAAI Conference on Artificial Intelligence, vol. 33, pp. 3558–3565 (2019)
Franzese, N., Groce, A., Murali, T., Ritz, A.: Hypergraph-based connectivity measures for signaling pathway topologies. PLoS Comput. Biol. 15(10), e1007384 (2019)
He, J., Liang, H., Yuan, H.: Controlling infection by blocking nodes and links simultaneously. In: Chen, N., Elkind, E., Koutsoupias, E. (eds.) WINE 2011. LNCS, vol. 7090, pp. 206–217. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-25510-6_18
Iyer, S., Killingback, T., Sundaram, B., Wang, Z.: Attack robustness and centrality of complex networks. PLoS ONE 8(4), e59613 (2013)
Lalou, M., Tahraoui, M.A., Kheddouci, H.: The critical node detection problem in networks: a survey. Comput. Sci. Rev. 28, 92–117 (2018)
Lewis, J.M., Yannakakis, M.: The node-deletion problem for hereditary properties is NP-complete. J. Comput. Syst. Sci. 20(2), 219–230 (1980)
Lozano, M., García-Martínez, C., Rodriguez, F.J., Trujillo, H.M.: Optimizing network attacks by artificial bee colony. Inf. Sci. 377, 30–50 (2017)
Yu, J., Tao, D., Wang, M.: Adaptive hypergraph learning and its application in image classification. IEEE Trans. Image Process. 21(7), 3262–3272 (2012)
Acknowledgments
This work was supported by a grant of the Romanian National Authority for Scientific Research and Innovation, CNCS - UEFISCDI, project number PN-III-P1-1.1-TE-2019-1633.
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Gaskó, N., Suciu, M., Lung, R.I., Képes, T. (2022). An Evolutionary Approach for Critical Node Detection in Hypergraphs. A Case Study of an Inflation Economic Network. In: Abraham, A., Gandhi, N., Hanne, T., Hong, TP., Nogueira Rios, T., Ding, W. (eds) Intelligent Systems Design and Applications. ISDA 2021. Lecture Notes in Networks and Systems, vol 418. Springer, Cham. https://doi.org/10.1007/978-3-030-96308-8_103
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DOI: https://doi.org/10.1007/978-3-030-96308-8_103
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