Finding groups with maximum betweenness centrality
نویسندگان
چکیده
منابع مشابه
On the distribution of betweenness centrality in random trees
Betweenness centrality is a quantity that is frequently used to measure how ‘central’ a vertex v is. It is defined as the sum, over pairs of vertices other than v, of the proportions of shortest paths that pass through v. In this paper, we study the distribution of the betweenness centrality in random trees and related, subcritical graph families. Specifically, we prove that the betweenness cen...
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Betweenness centrality is a distance-based invariant of graphs. In this paper, we use lexicographic product to compute betweenness centrality of some important classes of graphs. Finally, we pose some open problems related to this topic.
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In this paper, we propose a method for rapid computation of group betweenness centrality whose running time (after preprocessing) does not depend on network size. The calculation of group betweenness centrality is computationally demanding and, therefore, it is not suitable for applications that compute the centrality of many groups in order to identify new properties. Our method is based on th...
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Group testing is a mathematical technique that uses superimposed code theory to find a specified number of distinct units among a large population, using the fewest number of tests. In this paper, we investigate the applicability of group testing in finding vertices with high betweenness centrality. Betweenness centrality (BC) is a widely applied network analysis objective, for identifying impo...
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Vertex betweenness centrality is essential in the analysis of social and information networks, and it quantify vertex importance in terms of its quantity of information along geodesic paths in network. Edge betweenness is similar to the vertex betweenness. Co-betweenness centrality is a natural developed notion to extend vertex betweenness centrality to sets of vertices, and pairwise co-between...
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ورودعنوان ژورنال:
- Optimization Methods and Software
دوره 32 شماره
صفحات -
تاریخ انتشار 2017