Bipartite and directed scale-free complex networks arising from zeta functions

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• 作者：Piergiulio Tempesta
• 关键词：Complex networks ; Bipartite graphs ; Directed graphs ; Multiple zeta functions
• 刊名：Communications in Nonlinear Science and Numerical Simulation
• 出版年：July, 2014
• 年：2014
• 卷：19
• 期：7
• 页码：2493-2504
• 全文大小：1500 K

文摘

We construct a new class of directed and bipartite random graphs whose topology is governed by the analytic properties of multiple zeta functions. The bipartite L-graphs and the multiplicative zeta graphs are relevant examples of the proposed construction. Phase transitions and percolation thresholds for our models are determined.