Group centrality indices, introduced in 1... Krnc, Matja,?krekovski, Riste - 《Discrete Applied Mathematics》 被引量: 11发表: 2015年 Extremal Properties of Complex Networks We describe the structure of connected graphs with the minimum and maximum average distance, radius, diameter, betweenness...
Using the generating function formalism, we propose an exact formula for estimating betweenness centrality of an edge in finite tree-like components of random networks with arbitrary degree distributions. As a function of the degrees of two vertices interconnected by the edge and the size of the co...
Betweenness centrality (BC) measures the importance of a vertex or an edge based on the shortest paths in a graph (i.e., a vertex or an edge with higher BC appears more frequently on the shortest paths in the graph). Several exact algorithms for computing Betweenness centrality have been p...
centrality of the most centralized star for a directed graph is: Again we divide by 2 for consistency with Freeman’s measure. In the case of an undirected graph, yti = no = ~zs = ~1, and the formula for betweenness centrality of a star simplifies to: ...
centrality心性fasteralgorithm中介算法 AFasterAlgorithmforBetweennessCentrality ∗ UlrikBrandes UniversityofKonstanz DepartmentofComputer&InformationScience BoxD67,78457Konstanz,Germany Ulrik.Brandes@uni-konstanz.de Abstract Thebetweennesscentralityindexisessentialintheanalysisofsocial networks,butcostlytocompute.Currently...
A formula based on a vertex contributions of the Steiner k k -Wiener index is induced by a newly introduced k k -Steiner betweenness centrality, which measures the number of k k -Steiner trees that include a particular vertex as a non-terminal vertex. This generalizes Škrekovski and Gutma...
Betweenness centrality in finite components of complex networks We use generating function formalism to obtain an exact formula of the betweenness centrality in finite components of random networks with arbitrary degree... H Shan,L Sheng,H Ma - 《Physica A-statistical Mechanics & Its Applications》 ...
Notes on the betweenness centrality of a graph A connection between sums of binomial coefficients and Gross-Koblitz formula Kurzweil integral for Riesz space-valued functions: Uniform convergence theorem Some argument inequalities for certain analytic functions Uniqueness of meromorphic functions concerni...
Thus, when using such a game to model the roles played by nodes in a network, the group-evaluation function can be tailored to best fit the centrality measure at hand. For instance, a group of nodes can be evaluated based on the average degree therein, or based on its closeness to ...
The existing centrality metrics could be broadly classified into two categories [1]: neighbor-based and shortest path-based. Degree centrality (DegC) and eigenvec- tor centrality (EVC) [2] are well-known metrics for neighbor- based centrality, while Betweenness centrality (BWC) [3] and ...