A new information dimension of complex networks

DOI10.1016/j.physleta.2014.02.010zbMath1332.94040arXiv1311.3527OpenAlexW2050739633WikidataQ57852769 ScholiaQ57852769MaRDI QIDQ5964666

Haixin Zhang, Yong Hu, Yong Deng, Daijun Wei, Bo Wei

Publication date: 1 March 2016

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1311.3527

zbMATH Keywords

self-similarityfractalcomplex networksinformation dimension

Mathematics Subject Classification ID

Measures of information, entropy (94A17)

Related Items (14)

Image edge detection based on local dimension: a complex networks approach ⋮ Two-parameter fractional Tsallis information dimensions of complex networks ⋮ Measure the structure similarity of nodes in complex networks based on relative entropy ⋮ Generalized Hausdorff dimensions of a complex network ⋮ Maximal entropy coverings and the information dimension of a complex network ⋮ Minimal partition coverings and generalized dimensions of a complex network ⋮ A box-covering Tsallis information dimension and non-extensive property of complex networks ⋮ Non-monotonicity of the generalized dimensions of a complex network ⋮ D-summable fractal dimensions of complex networks ⋮ Fractional information dimensions of complex networks ⋮ A generalized volume dimension of complex networks ⋮ Analyzing the stock market based on the structure of \textit{kNN} network ⋮ A new structural entropy measurement of networks based on the nonextensive statistical mechanics and hub repulsion ⋮ A novel approach to estimated Boulingand-Minkowski fractal dimension from complex networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Synchronization of complex community networks with nonidentical nodes and adaptive coupling strength
• Emergence of fractal scale-free networks from stochastic evolution on the Cayley tree
• Impulsive generalized function synchronization of complex dynamical networks
• The growth of fractal dimension of an interface evolution from the interaction of a shock wave with a rectangular block of SF6
• Synchronization of complex dynamical networks with nonidentical nodes
• On pinning synchronization of complex dynamical networks
• Fuzzy fractal dimensions and fuzzy modeling.
• The number of spanning trees of an infinite family of outerplanar, small-world and self-similar graphs
• Metamaterial model of fractal time
• Fractals, coherent states and self-similarity induced noncommutative geometry
• Emergence of Scaling in Random Networks
• DEFINING DIMENSION OF A COMPLEX NETWORK
• The Structure and Function of Complex Networks
• GRAPH ZETA FUNCTION AND DIMENSION OF COMPLEX NETWORK
• Collective dynamics of ‘small-world’ networks

This page was built for publication: A new information dimension of complex networks