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Local Detour Centrality: A Novel Local Centrality Measure for Weighted Networks

2022/08/05 by Haim Cohen, Yinon Nachshon, Cohen, Haim +9
Computer Science · Physics and Astronomy · #Advanced Graph Neural Networks #Complex Network Analysis Techniques #FOS: Computer and information sciences #Social and Information Networks (cs.SI) #Topological and Geometric Data Analysis

paper · pdf · doi:10.48550/arxiv.2208.03158

openalex publication_date 2022/08/05 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

Centrality, in some sense, captures the extent to which a vertex controls the flow of information in a network. Here, we propose Local Detour Centrality as a novel centrality-based betweenness measure that captures the extent to which a vertex shortens paths between neighboring vertices as compared to alternative paths. After presenting our measure, we demonstrate empirically that it differs from other leading central measures, such as betweenness, degree, closeness, and the number of triangles. Through an empirical case study, we provide a possible interpretation for Local Detour Centrality as a measure that captures the extent to which a word is characterized by contextual diversity within a semantic network. We then examine the relationship between our measure and the accessibility to knowledge stored in memory. To do so, we show that words that occur in several different and distinct contexts are significantly more effective in facilitating the retrieval of subsequent words than are words that lack this contextual diversity.

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