### Decay centrality in social graphs and Flajolet-Martin algorithm adaptation for its computation

#### Abstract

The paper is devoted to a node centrality in a graph, which is a generalization of degree and closeness centralities for social graphs. This centrality form is based on a power function, known as decay centrality and proposed by Jackson and Wolinsky. Author examines Flajolet-Martin adopted algorithm for decay centrality approximation. The results are compared to the real closeness centrality values. Computational experiment has shown, that centrality form exposed along with the algorithm adopted for its computation are suited for social network graphs closeness centrality approximation. Research methodology is based on elements of graph theory and social network analysis.

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