Comparison of nonlinear with linear Barabási–Albert networks

Muneer A. Sumour, F.W.S. Lima, M.M. Shabat and D. Stauffer

Physica A: Statistical Mechanics and its Applications, 2018, vol. 505, issue C, 1163-1169

Abstract: The nonlinear Barabási–Albert network (NLBA) of Krapivsky, Redner and Leyvraz (2000) is reinvestigated and modified here. We check the distribution of k(i) versus i for strong peaks and sharp gaps, where node number i has k(i) neighbors. No gaps as seen in our earlier studies of directed networks are found now, but strong peaks occur in our modified version nonlinear Barabási–Albert networks (NLBA2) while they show up only if the nonlinearity exponent is larger than one in the traditional version (NLBA1).

Keywords: Barabási–Albert networks; Nodes; Gap; Peaks (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:505:y:2018:i:c:p:1163-1169

DOI: 10.1016/j.physa.2018.04.051

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