2005/12/08 by Jacob Bock Axelsen, Sebastian Bernhardsson, Martin Rosvall +2
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · Physics and Astronomy · #Cartography #Combinatorics #Complex Network Analysis Techniques #Complex network #Computer science #Degree (music) #Degree distribution #Gene Regulatory Network Analysis #Geography #Hierarchical network model #Mathematics #Ridge #Scale (ratio) #Topological and Geometric Data Analysis #Topology (electrical circuits) #cond-mat.soft #physics.soc-ph
paper · pdf · doi:10.1103/physreve.74.036119
published as Phys. Rev. E 74, 036119 (2006) · 4 pages, 5 figures
arxiv created 2005/12/08 · openalex publication_date 2006/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We generalize the degree-organizational view of real-world networks with broad degree distributions in a landscape analog with mountains (high-degree nodes) and valleys (low-degree nodes). For example, correlated degrees between adjacent nodes correspond to smooth landscapes (social networks), hierarchical networks to one-mountain landscapes (the Internet), and degree-disassortative networks without hierarchical features to rough landscapes with several mountains. To quantify the topology, we here measure the widths of the mountains and the separation between different mountains. We also generate ridge landscapes to model networks organized under constraints imposed by the space the networks are embedded in, associated to spatial or in molecular networks to functional localization.