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Percolation centrality via Rademacher Complexity.
- Source :
-
Discrete Applied Mathematics . Dec2022, Vol. 323, p201-216. 16p. - Publication Year :
- 2022
-
Abstract
- In this work we investigate the problem of estimating the percolation centrality of all vertices in a weighted graph. The percolation centrality measure quantifies the importance of a vertex in a graph that is going through a contagious process. The fastest exact algorithm for the computation of this measure in a graph G with n vertices and m edges runs in O (n 3). Let Diam V (G) be the maximum number of vertices in a shortest path in G. In this paper we present an expected O (m log n log Diam V (G)) time approximation algorithm for the estimation of the percolation centrality for all vertices of G. We show in our experimental analysis that in the case of real-world complex networks, the output produced by our algorithm returns approximations that are even closer to the exact values than its guarantee in terms of theoretical worst case analysis. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 0166218X
- Volume :
- 323
- Database :
- Academic Search Index
- Journal :
- Discrete Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 159926216
- Full Text :
- https://doi.org/10.1016/j.dam.2021.07.023