2004/04/30 by Hrvoje Štefančić, Hrvoje Stefancic, Vinko Zlatić +1
Physics and Astronomy · Psychology · #Complex Network Analysis Techniques #Mental Health Research Topics #Opinion Dynamics and Social Influence #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1016/j.physa.2004.09.050
v1:revtex, 7 pages, 8 figures. v2: version to appear in Physica A
arxiv created 2004/11/30 · openalex publication_date 2004/12/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
A network growth mechanism based on a two-step preferential rule is investigated as a model of network growth in which no global knowledge of the network is required. In the first filtering step a subset of fixed size m of existing nodes is randomly chosen. In the second step the preferential rule of attachment is applied to the chosen subset. The characteristics of thus formed networks are explored using two approaches: computer simulations of network growth and a theoretical description based on a master equation. The results of the two approaches are in excellent agreement. Special emphasis is put on the investigation of the node degree probability distribution. It is found that the tail of the distribution has the exponential form given by exp(-k/m). Implications of the node degree distribution with such tail characteristics are briefly discussed.