Percolation on Fractal Networks: A Survey
Miguel Ángel Martínez Cruz, Julián Patiño-Ortiz, Miguel Patiño-Ortiz, Alexander S. Balankin
Abstract
The purpose of this survey is twofold. First, we survey the studies of percolation on fractal networks. The objective is to assess the current state of the art on this topic, emphasizing the main findings, ideas and gaps in our understanding. Secondly, we try to offer guidelines for future research. In particular, we focus on effects of fractal attributes on the percolation in self-similar networks. Some challenging questions are outlined.
Topics & Concepts
FractalPercolation (cognitive psychology)Focus (optics)Statistical physicsPercolation critical exponentsPercolation theoryDirected percolationPercolation thresholdData scienceComputer sciencePsychologyMathematicsPhysicsTopology (electrical circuits)NeuroscienceCombinatoricsQuantum mechanicsElectrical resistivity and conductivityOpticsMathematical analysisComplex Network Analysis TechniquesTheoretical and Computational PhysicsOpinion Dynamics and Social Influence