2003/06/24 by Oscar Sotolongo-Costa, G. J. Rodgers
Decision Sciences · Mathematics · Physics and Astronomy · #Bose–Einstein condensate #Combinatorics #Complex Network Analysis Techniques #Computer science #Condensation #Degree (music) #Discrete mathematics #Enhanced Data Rates for GSM Evolution #Game Theory and Applications #Graph #Mathematics #Opinion Dynamics and Social Influence #Physics #Quantum mechanics #Random graph #Vertex (graph theory) #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.68.056118
3 figures, submitted for publication
arxiv created 2003/06/24 · openalex publication_date 2003/11/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the phenomenon of Bose-Einstein condensation in a random growing directed network. The network grows by the addition of vertices and edges. At each time step the network gains a vertex with probability p and an edge with probability 1-p. The new vertex has a fitness (a,b) a,b>0, with probability f(a,b). A vertex with fitness (a,b), with in-degree i and out-degree j, gains a new incoming edge with rate a(i+1) and an outgoing edge with rate b(j+1). The Bose-Einstein condensation occurs as a function of fitness distribution f(a,b).