DEFINING DIMENSION OF A COMPLEX NETWORK

DOI10.1142/S0217984907012773zbMath1119.82015OpenAlexW1996324456WikidataQ29010688 ScholiaQ29010688MaRDI QIDQ3439924

O. Shanker

Publication date: 21 May 2007

Published in: Modern Physics Letters B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217984907012773

zbMATH Keywords

fractal dimensioncomplex networkslong range potential

Mathematics Subject Classification ID

Analytic circuit theory (94C05) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

Related Items (15)

Image edge detection based on local dimension: a complex networks approach ⋮ A small-world and scale-free network generated by Sierpinski pentagon ⋮ An information dimension of weighted complex networks ⋮ Fractality of evolving self-similar networks ⋮ A box-covering Tsallis information dimension and non-extensive property of complex networks ⋮ RANDOM WALK IN SHORTCUT MODELS ⋮ D-summable fractal dimensions of complex networks ⋮ ALGORITHMS FOR FRACTAL DIMENSION CALCULATION ⋮ A generalized volume dimension of complex networks ⋮ Analyzing the stock market based on the structure of \textit{kNN} network ⋮ Complex network dimension and path counts ⋮ A new information dimension of complex networks ⋮ EXACT SOLUTION OF ISING MODEL IN 2D SHORTCUT NETWORK ⋮ EPIDEMIOLOGY MODEL ON SHORTCUT AND SMALL WORLD NETWORKS ⋮ Determination of multifractal dimensions of complex networks by means of the sandbox algorithm

Cites Work

• Unnamed Item
• Unnamed Item
• The phase transition in the one-dimensional Ising model with \(1/r^2\) interaction energy
• Discontinuity of the magnetization in one-dimensional \(1/| x-y| ^ 2\) Ising and Potts models.
• Existence of a phase-transition in a one-dimensional Ising ferromagnet
• Complex networks: structure and dynamics
• Statistical mechanics of a one-dimensional lattice gas
• Statistical mechanics of complex networks
• The Structure and Function of Complex Networks
• Community structure in social and biological networks
• LONG RANGE 1-d POTENTIAL AT BORDER OF THERMODYNAMIC LIMIT

This page was built for publication: DEFINING DIMENSION OF A COMPLEX NETWORK