2016
DOI: 10.1016/j.dam.2015.07.006
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A measure for a balanced workload and its extremal values

Abstract: a b s t r a c tIn order to measure the extent to which the distribution of workload between actors in the network can be equalized, a degree-weighted measure for a balanced workload based on betweenness centrality is introduced. The goal of this study is to determine the extremal values of the introduced measure, as well as the graph structures where the extremal values are attained. Several real world networks were used for evaluation of the new invariant. The obtained results are used for statistical compari… Show more

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Cited by 2 publications
(1 citation statement)
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“…It is often studied from the algorithmic point of view [4,16]. Betweenness centrality and its variants are also studied from the graph-theoretical perspective [1,2,10,15,18,24]. In this paper we focus on graphs having the same betweenness on all vertices initiated in studies [8,14].…”
Section: Introduction and Definitionsmentioning
confidence: 99%
“…It is often studied from the algorithmic point of view [4,16]. Betweenness centrality and its variants are also studied from the graph-theoretical perspective [1,2,10,15,18,24]. In this paper we focus on graphs having the same betweenness on all vertices initiated in studies [8,14].…”
Section: Introduction and Definitionsmentioning
confidence: 99%