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Unsolved Problems in Visibility Graphs of Points, Segments and Polygons
Unsolved Problems Visibility Graphs of Points Segments Polygons
2011/3/3
In this survey paper, we present open problems and conjectures on visibility graphs of points, segments and polygons along with necessary backgrounds for understanding them.
Horizontal visibility graphs transformed from fractional Brownian motions: Topological properties versus Hurst index
Horizontal visibility graphs transformed fractional Brownian motions Topological properties versus Hurst index
2010/12/28
Nonlinear time series analysis aims at understanding the dynamics of stochastic or chaotic processes.In recent years, quite a few methods have been proposed to transform a single time series to a comp...
Description of stochastic and chaotic series using visibility graphs
Data Analysis, Statistics and Probability (physics.data-an) Chaotic Dynamics (nlin.CD)
2010/11/10
Nonlinear time series analysis is an active field of research that studies the structure of complex signals in order to derive information of the process that generated those series, for understanding...
Horizontal visibility graphs: exact results for random time series
Horizontal visibility graphs random time series
2010/4/2
The visibility algorithm has been recently introduced as a mapping between time series and complex networks. This procedure allows to apply methods of complex network theory for characterizing time se...
Universal and nonuniversal allometric scaling behaviors in the visibility graphs of world stock market indices
Universal nonuniversal world stock market indices
2010/11/2
The investigations of financial markets from a complex network perspective have unveiled many
phenomenological properties, in which the majority of these studies map the financial markets into one co...