2011
DOI: 10.1007/978-3-642-21786-9_40
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A New Centrality Measure for Influence Maximization in Social Networks

Abstract: Abstract. The paper addresses the problem of finding top k influential nodes in large scale directed social networks. We propose a centrality measure for independent cascade model, which is based on diffusion probability (or propagation probability) and degree centrality. We use (i) centrality based heuristics with the proposed centrality measure to get k influential individuals. We have also found the same using (ii) high degree heuristics and (iii) degree discount heuristics. A Monte-Carlo simulation has bee… Show more

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Cited by 60 publications
(20 citation statements)
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“…For this research study, we were only considered undirected, loop-free connected graphs according to the PPIN topology. For centrality analysis, the following 27 centrality measures were selected: Average Distance [ 43 ], Barycenter [ 44 ], Closeness (Freeman) [ 9 ], Closeness (Latora) [ 45 ], Residual closeness [ 46 ], ClusterRank [ 47 ], Decay [ 48 ], Diffusion degree [ 49 ], Density of Maximum Neighborhood Component (DMNC) [ 50 ], Geodesic K-Path [ 51 , 52 ], Katz [ 53 , 54 ], Laplacian [ 55 ], Leverage [ 56 ], Lin [ 57 ], Lobby [ 58 ], Markov [ 59 ], Maximum Neighborhood Component (MNC) [ 50 ], Radiality [ 60 ], Eigenvector [ 61 ], Subgraph scores [ 62 ], Shortest-Paths betweenness [ 9 ], Eccentricity [ 63 ], Degree, Kleinberg’s authority scores [ 64 ], Kleinberg’s hub scores [ 64 ], Harary graph [ 63 ] and Information [ 65 ]. All these measures are calculated for undirected networks in a reasonable time.…”
Section: Methodsmentioning
confidence: 99%
“…For this research study, we were only considered undirected, loop-free connected graphs according to the PPIN topology. For centrality analysis, the following 27 centrality measures were selected: Average Distance [ 43 ], Barycenter [ 44 ], Closeness (Freeman) [ 9 ], Closeness (Latora) [ 45 ], Residual closeness [ 46 ], ClusterRank [ 47 ], Decay [ 48 ], Diffusion degree [ 49 ], Density of Maximum Neighborhood Component (DMNC) [ 50 ], Geodesic K-Path [ 51 , 52 ], Katz [ 53 , 54 ], Laplacian [ 55 ], Leverage [ 56 ], Lin [ 57 ], Lobby [ 58 ], Markov [ 59 ], Maximum Neighborhood Component (MNC) [ 50 ], Radiality [ 60 ], Eigenvector [ 61 ], Subgraph scores [ 62 ], Shortest-Paths betweenness [ 9 ], Eccentricity [ 63 ], Degree, Kleinberg’s authority scores [ 64 ], Kleinberg’s hub scores [ 64 ], Harary graph [ 63 ] and Information [ 65 ]. All these measures are calculated for undirected networks in a reasonable time.…”
Section: Methodsmentioning
confidence: 99%
“…In [25], two basic diffusion models are investigated: Linear Thresholds Model and Independent cascade Model. Kundu et al [26] propose an independent cascade model and a centrality measure in order to find top k influential nodes in large scale directed social networks. In [2] authors propose a frequent pattern mining approach to discover leaders in social networks, studying the propagation of their "influence", while in [11] authors develop an approach to determine "influencing users" based on a nonstandard form of Bayesian shrinkage.…”
Section: Related Workmentioning
confidence: 99%
“…Besides these measures based on the eigenvector centrality, there exist other centrality measures based on influence spread on the independent cascade model [26,27,28]. Under this model, each actor has a probability to influence the actors he targets.…”
Section: Centrality Under Influence Criteriamentioning
confidence: 99%
“…Indeed, the influence maximization problem under the linear threshold model is NP-hard [13]. The studies about derived centrality measures are scarce and consider only the independent cascade model [26,27,28]. Those rankings were proposed, and evaluated, to get good solutions to the influence maximization problem.…”
Section: Introductionmentioning
confidence: 99%