Clustering Properties of Spatial Preferential Attachment Model

DOI10.1007/978-3-319-92871-5_3OpenAlexW2963127189MaRDI QIDQ5881226

Paweł Prałat, Maksim Mironov, Bogumił Kamiński, Liudmila Prokhorenkova, Lenar Iskhakov

Publication date: 9 March 2023

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1802.05127

zbMATH Keywords

real-world networksvertex degree distributionaverage local clustering coefficientheavy vertexlight vertex

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Network design and communication in computer systems (68M10) Graph theory (including graph drawing) in computer science (68R10) Vertex degrees (05C07) Probability in computer science (algorithm analysis, random structures, phase transitions, etc.) (68Q87)

Related Items (3)

Scaling of the clustering function in spatial inhomogeneous random graphs ⋮ Exact modularity of line graphs of complete graphs ⋮ Modularity of some distance graphs

Uses Software

• SNAP
• Julia
• LightGraphs.jl

Cites Work

• Unnamed Item
• Geometric graph properties of the spatial preferred attachment model
• Spatial preferential attachment networks: power laws and clustering coefficients
• Complex networks: structure and dynamics
• A Spatial Preferential Attachment Model with Local Clustering
• Julia: A Fresh Approach to Numerical Computing
• A Spatial Web Graph Model with Local Influence Regions
• Emergence of Scaling in Random Networks
• The Structure and Function of Complex Networks
• Endogenous Differentiation of Consumer Preferences Under Quality Uncertainty in a SPA Network
• Global Clustering Coefficient in Scale-Free Weighted and Unweighted Networks
• Nonuniform Distribution of Nodes in the Spatial Preferential Attachment Model
• Local Clustering Coefficient in Generalized Preferential Attachment Models

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