An Improved Visibility Graph Analysis of EEG Signals of Alzheimer Brain

2018 ◽  
Author(s):  
Ruofan Wang ◽  
Zhongyou Yang ◽  
Jiang Wang ◽  
Lianshuan Shi
Keyword(s):  
Visibility Graph ◽  
Graph Analysis ◽  
Eeg Signals ◽  
Alzheimer Brain ◽  
Visibility Graph Analysis

Visibility Graph Analysis of Particle Size Distribution During Flocculation for Water Treatment

2021 ◽  
Vol 232 (3) ◽  
Author(s):  
Kamila Jessie Sammarro Silva ◽  
Larissa Lopes Lima ◽  
Gustavo Santos Nunes ◽  
Lyda Patricia Sabogal-Paz
Keyword(s):  
Particle Size ◽  
Water Treatment ◽  
Particle Size Distribution ◽  
Size Distribution ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis

scholarly journals Extracting Correlations in Earthquake Time Series Using Visibility Graph Analysis

2021 ◽  
Vol 9 ◽  
Author(s):  
Sumanta Kundu ◽  
Anca Opris ◽  
Yohei Yukutake ◽  
Takahiro Hatano
Keyword(s):  
Time Series ◽  
Complex Network ◽  
Recent Observation ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Common Belief ◽  
Complex Network Theory ◽  
Event Time ◽  
Visibility Graph Analysis ◽  
Present Understanding

Recent observation studies have revealed that earthquakes are classified into several different categories. Each category might be characterized by the unique statistical feature in the time series, but the present understanding is still limited due to their non-linear and non-stationary nature. Here we utilize complex network theory to shed new light on the statistical properties of earthquake time series. We investigate two kinds of time series, which are magnitude and inter-event time (IET), for three different categories of earthquakes: regular earthquakes, earthquake swarms, and tectonic tremors. Following the criterion of visibility graph, earthquake time series are mapped into a complex network by considering each seismic event as a node and determining the links. As opposed to the current common belief, it is found that the magnitude time series are not statistically equivalent to random time series. The IET series exhibit correlations similar to fractional Brownian motion for all the categories of earthquakes. Furthermore, we show that the time series of three different categories of earthquakes can be distinguished by the topology of the associated visibility graph. Analysis on the assortativity coefficient also reveals that the swarms are more intermittent than the tremors.

Visibility graph analysis on heartbeat dynamics of meditation training

2013 ◽  
Vol 102 (25) ◽  
pp. 253702 ◽  
Author(s):  
Sen Jiang ◽  
Chunhua Bian ◽  
Xinbao Ning ◽  
Qianli D. Y. Ma
Keyword(s):  
Visibility Graph ◽  
Graph Analysis ◽  
Visibility Graph Analysis

Three-dimensional visibility graph analysis and its application

2017 ◽  
Vol 46 (5) ◽  
pp. 948-962 ◽  
Author(s):  
Yi Lu ◽  
Zhonghua Gou ◽  
Yu Ye ◽  
Qiang Sheng
Keyword(s):  
Three Dimensional ◽  
Urban Environments ◽  
Visibility Graph ◽  
Graph Analysis ◽  
Two Dimensional ◽  
Spatial System ◽  
Floor Plans ◽  
Graph System ◽  
New Applications ◽  
Visibility Graph Analysis

Graph-based visibility analysis, developed from space syntax and social network theory, embraces mutual visibility between locations in a spatial system. It helps designers and researchers to decode spatial cognition and behavior, but methodological constraints limit its application to two-dimensional floor plans. In this study, we propose a new visibility graph analysis that can be used in three-dimensional built environments, such as multilevel atrium buildings or urban environments with canopies or overpass bridges. Furthermore, we draw a distinction between a generic visibility graph and a targeted visibility graph. In the former, an occupiable location is considered as both the origin and target of visibility lines. In the latter, we further take into account the visible space or specific targets in a system. Visible locations are spaces people can see but cannot necessarily physically occupy. With this differentiation, the visibility graph system is more amenable to new applications in three-dimensional architectural and urban design while retaining a mapping back to the original two-dimensional visibility graph method through the generic visibility graph. Four examples illustrate the application of the proposed visibility graph analysis in complex three-dimensional building and urban environments.

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