Original scientific paper

https://doi.org/10.3336/gm.48.2.01

Generalised network descriptors

Suzana Antunović ; Faculty of Civil Engineering, Architecture and Geodesy, University of Split, Matice hrvatske 15, 21 000 Split, Croatia
Tonći Kokan ; Faculty of Economics, University of Split, Cvite Fiskovića 5, 21000 Split , Croatia
Tanja Vojković orcid.org/0000-0002-8160-7757 ; Department of Mathematics, University of Split, Teslina 12, 21 000 Split, Croatia
Damir Vukičević ; Department of Mathematics, University of Split, Teslina 12, 21 000 Split, Croatia

Abstract

Transmission and betweenness centrality are key concepts in communication networks theory. Based on this concept, new concepts of networkness and network surplus have recently been defined. However, all these four concepts include unrealistic assumption about equal communication between vertices. Here, we propose more realistic assumption that the amount of communication of vertices decreases as their distance increases. We assume that amount of communication between vertices u and v is proportional to d(u,v)Λ where Λ < 0. Taking this into account generalised versions of these four descriptors are defined. Extremal values of these descriptors are analysed.

Keywords

Betweenness; transmission; networkness; network surplus; complex networks

Hrčak ID:

112205

URI

https://hrcak.srce.hr/112205

Publication date:

16.12.2013.

Visits: 1.030 *