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ConvGraph: Community Detection of Homogeneous Relationships in Weighted Graphs.

Authors :
Muñoz, Héctor
Vicente, Eloy
González, Ignacio
Mateos, Alfonso
Jiménez-Martín, Antonio
Lerga, Jonatan
Source :
Mathematics (2227-7390). Feb2021, Vol. 9 Issue 4, p367. 1p.
Publication Year :
2021

Abstract

This paper proposes a new method, ConvGraph, to detect communities in highly cohesive and isolated weighted graphs, where the sum of the weights is significantly higher inside than outside the communities. The method starts by transforming the original graph into a line graph to apply a convolution, a common technique in the computer vision field. Although this technique was originally conceived to detect the optimum edge in images, it is used here to detect the optimum edges in communities identified by their weights rather than by their topology. The method includes a final refinement step applied to communities with a high vertex density that could not be detected in the first phase. The proposed algorithm was tested on a series of highly cohesive and isolated synthetic graphs and on a real-world export graph, performing well in both cases. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
22277390
Volume :
9
Issue :
4
Database :
Academic Search Index
Journal :
Mathematics (2227-7390)
Publication Type :
Academic Journal
Accession number :
149095477
Full Text :
https://doi.org/10.3390/math9040367