MARKOV SPECTRA OF SELF-SIMILAR NETWORKS BY SUBSTITUTION RULE

DOI10.1142/S0218348X18500640zbMath1433.35441OpenAlexW2804704865MaRDI QIDQ4960338

Qianqian Ye, Li-Feng Xi, Ting-Ting Li

Publication date: 15 April 2020

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x18500640

zbMATH Keywords

self-similarityMarkov operatorLaplacian spectrafractal network

Mathematics Subject Classification ID

Small world graphs, complex networks (graph-theoretic aspects) (05C82) Fractals (28A80) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)

Related Items (11)

Eigentime identities of fractal sailboat networks ⋮ Fractality of multiple colored substitution networks ⋮ Eigentime identities of flower networks with multiple branches ⋮ Eigentime identities of potting networks ⋮ Generating Fibonacci-model as evolution of networks with vertex-velocity and time-memory ⋮ ASYMPTOTIC FORMULA OF AVERAGE DISTANCES ON FRACTAL NETWORKS MODELED BY SIERPINSKI TETRAHEDRON ⋮ ARITHMETIC ON MORAN SETS ⋮ Eigentime identity of the weighted (m,n)-flower networks ⋮ Applications of Markov spectra for the weighted partition network by the substitution rule ⋮ EIGENTIME IDENTITIES OF FRACTAL FLOWER NETWORKS ⋮ MULTIPLE REPRESENTATIONS OF REAL NUMBERS ON SELF-SIMILAR SETS WITH OVERLAPS

Cites Work

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• On the spectrum of the normalized Laplacian of iterated triangulations of graphs
• Multifractal analysis and topological properties of a new family of weighted Koch networks
• Scale-free effect of substitution networks
• Harnack inequalities for graphs with non-negative Ricci curvature
• Emergence of Scaling in Random Networks
• The Structure and Function of Complex Networks
• FIRST-ORDER NETWORK COHERENCE AND EIGENTIME IDENTITY ON THE WEIGHTED CAYLEY NETWORKS
• Collective dynamics of ‘small-world’ networks
• Networks

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