Abstract
Disparate natural and artificial systems are modelled as complex networks to understand their structural properties and dynamics of phenomena occurring on them. Identification of key components (nodes) of a complex network and ranking them has both theoretical and practical applications. The node ranking techniques are compared on three categories of criteria, namely, Differentiation, Accuracy and Computational Efficiency. Having multiple criteria for technique selection and a number of alternative ranking techniques available renders ranking technique selection in the domain of complex networks as Multi-Criteria Decision Making (MCDM) problem. A number of MCDM methods are accessible in the literature, but no treatment is available for the selection of node ranking techniques based on systematic decision making. In this paper, Analytic Hierarchy Process (AHP), followed by Technique for Order Preference by Similarity to Ideal Solution (TOPSIS), are used in tandem to propose a framework that objectively compares and select node ranking techniques for complex networks. The working of the proposed framework is demonstrated with a dataset of complex networks.
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Albert, R., Barabási, A.L.: Statistical mechanics of complex networks. Rev. Modern Phys. 74(1), 47 (2002)
Bae, J., Kim, S.: Identifying and ranking influential spreaders in complex networks by neighborhood coreness. Phys. A: Stat. Mech. Appl. 395, 549–559 (2014)
Behzadian, M., Otaghsara, S.K., Yazdani, M., Ignatius, J.: A state-of the-art survey of topsis applications. Expert Syst. Appl. 39(17), 13051–13069 (2012)
Borgatti, S.P.: Identifying sets of key players in a social network. Comput. Math. Organ. Theory 12(1), 21–34 (2006)
Chen, D., Lü, L., Shang, M.S., Zhang, Y.C., Zhou, T.: Identifying influential nodes in complex networks. Phys. A: Stat. Mech. Appl. 391(4), 1777–1787 (2012)
Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT press, Cambridge (2009)
Figueira, J., Greco, S., Ehrgott, M.: Multiple Criteria Decision Analysis: State of the Art Surveys. Springer, New York (2005). https://doi.org/10.1007/b100605
Freeman, L.C.: A set of measures of centrality based on betweenness. Sociometry 40, 35–41 (1977)
Freeman, L.C.: Centrality in social networks conceptual clarification. Soc. Netw. 1(3), 215–239 (1978)
Hwang, C.L., Lai, Y.J., Liu, T.Y.: A new approach for multiple objective decision making. Comput. Oper. Res. 20(8), 889–899 (1993)
Hwang, C.L., Yoon, K.: Methods for multiple attribute decision making. In: Multiple attribute decision making, pp. 58–191. Springer, Heidelberg (1981)
Kendall, M.G.: The treatment of ties in ranking problems. Biometrika 33(3), 239–251 (1945)
Kitsak, M., et al.: Identification of influential spreaders in complex networks. Nat. Phys. 6(11), 888–893 (2010)
Kunegis, J.: Konect: the koblenz network collection. In: Proceedings of the 22nd International Conference on World Wide Web, pp. 1343–1350. ACM (2013)
Leskovec, J., Krevl, A.: SNAP Datasets: Stanford large network dataset collection. http://snap.stanford.edu/data, June 2014
Li, C., Wang, L., Sun, S., Xia, C.: Identification of influential spreaders based on classified neighbors in real-world complex networks. Appl. Math. Comput. 320, 512–523 (2018)
Liu, Y., Wei, B., Du, Y., Xiao, F., Deng, Y.: Identifying influential spreaders by weight degree centrality in complex networks. Chaos, Solitons Fractals 86, 1–7 (2016)
Liu, Y., Tang, M., Zhou, T., Do, Y.: Identify influential spreaders in complex networks, the role of neighborhood. Phys. A: Stat. Mech. Appl. 452, 289–298 (2016)
Lü, L., Zhou, T., Zhang, Q.M., Stanley, H.E.: The h-index of a network node and its relation to degree and coreness. Nature Commun. 7, 10168 (2016)
Pastor-Satorras, R., Vespignani, A.: Epidemic dynamics and endemic states in complex networks. Phys. Rev. E 63(6), 066117 (2001)
Saaty, T.L., Decision, H.T.M.A.: The analytic hierarchy process. Euro. J. Oper. Res. 48, 9–26 (1990)
Sabidussi, G.: The centrality index of a graph. Psychometrika 31(4), 581–603 (1966)
Salavati, C., Abdollahpouri, A., Manbari, Z.: Bridgerank: A novel fast centrality measure based on local structure of the network. Statistical Mechanics and its Applications, Physica A (2017)
Schmidt, F.K.: Analytische zahlentheorie in körpern der charakteristikp. Mathematische Zeitschrift 33(1), 1–32 (1931)
Wang, Z., Zhao, Y., Xi, J., Du, C.: Fast ranking influential nodes in complex networks using a k-shell iteration factor. Phys. A: Stat. Mech. Appl. 461, 171–181 (2016)
Webber, W., Moffat, A., Zobel, J.: A similarity measure for indefinite rankings. ACM Trans. Inf. Syst. (TOIS) 28(4), 20 (2010)
Zareie, A., Sheikhahmadi, A.: A hierarchical approach for influential node ranking in complex social networks. Expert Syst. Appl. 93, 200–211 (2018)
Zavadskas, E.K., Turskis, Z., Kildiene, S.: State of art surveys of overviews on mcdm/madm methods. Technol. Econ. Dev. Econ. 20(1), 165–179 (2014)
Zeng, A., Zhang, C.J.: Ranking spreaders by decomposing complex networks. Phys. Lett. A 377(14), 1031–1035 (2013)
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Kanwar, K., Kaushal, S., Kumar, H. (2020). An AHP-TOPSIS Based Framework for the Selection of Node Ranking Techniques in Complex Networks. In: Bhattacharjee, A., Borgohain, S., Soni, B., Verma, G., Gao, XZ. (eds) Machine Learning, Image Processing, Network Security and Data Sciences. MIND 2020. Communications in Computer and Information Science, vol 1241. Springer, Singapore. https://doi.org/10.1007/978-981-15-6318-8_43
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DOI: https://doi.org/10.1007/978-981-15-6318-8_43
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