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Estimate the shortest paths on fractal \(m\)-gons

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Publication:434781
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DOI10.1016/j.cnsns.2011.08.033zbMath1245.28009OpenAlexW2028585586MaRDI QIDQ434781

Mohamed Mubarak

Publication date: 16 July 2012

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2011.08.033


zbMATH Keywords

shortest pathsfractalscomplex systemscomplex networkthe mean geodesic


Mathematics Subject Classification ID

Fractals (28A80)




Cites Work

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  • Transition densities for Brownian motion on the Sierpinski carpet
  • The average distance on the Sierpiński gasket
  • Complex networks: structure and dynamics
  • Statistical mechanics of complex networks
  • Fractaln-gons and their Mandelbrot sets
  • On the structure of self-similar sets
  • Self‐Similar Sets 2. A Simple Approach to the Topological Structure of Fractals
  • Brownian motion on nested fractals
  • Isoperimetric Estimates on Sierpinski Gasket Type Fractals
  • The Structure and Function of Complex Networks
  • Collective dynamics of ‘small-world’ networks


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