SoftNet: A Package for the Analysis of Complex Networks

Identifying the most important nodes according to specific centrality indices is an important issue in network analysis. Node metrics based on the computation of functions of the adjacency matrix of a network were defined by Estrada and his collaborators in various papers. This paper describes a MAT...

Full description

Bibliographic Details
Main Authors: Caterina Fenu, Lothar Reichel, Giuseppe Rodriguez
Format: Article
Language:English
Published: MDPI AG 2022-08-01
Series:Algorithms
Subjects:
Online Access:https://www.mdpi.com/1999-4893/15/9/296
_version_ 1797492098546532352
author Caterina Fenu
Lothar Reichel
Giuseppe Rodriguez
author_facet Caterina Fenu
Lothar Reichel
Giuseppe Rodriguez
author_sort Caterina Fenu
collection DOAJ
description Identifying the most important nodes according to specific centrality indices is an important issue in network analysis. Node metrics based on the computation of functions of the adjacency matrix of a network were defined by Estrada and his collaborators in various papers. This paper describes a MATLAB toolbox for computing such centrality indices using efficient numerical algorithms based on the connection between the Lanczos method and Gauss-type quadrature rules.
first_indexed 2024-03-10T00:57:44Z
format Article
id doaj.art-73aeedefe1184837a400f8d38c8f5a0b
institution Directory Open Access Journal
issn 1999-4893
language English
last_indexed 2024-03-10T00:57:44Z
publishDate 2022-08-01
publisher MDPI AG
record_format Article
series Algorithms
spelling doaj.art-73aeedefe1184837a400f8d38c8f5a0b2023-11-23T14:39:53ZengMDPI AGAlgorithms1999-48932022-08-0115929610.3390/a15090296SoftNet: A Package for the Analysis of Complex NetworksCaterina Fenu0Lothar Reichel1Giuseppe Rodriguez2Department of Mathematics and Computer Science, University of Cagliari, Via Ospedale, 72, 09124 Cagliari, ItalyDepartment of Mathematical Sciences, Kent State University, Kent, OH 44242, USADepartment of Mathematics and Computer Science, University of Cagliari, Via Ospedale, 72, 09124 Cagliari, ItalyIdentifying the most important nodes according to specific centrality indices is an important issue in network analysis. Node metrics based on the computation of functions of the adjacency matrix of a network were defined by Estrada and his collaborators in various papers. This paper describes a MATLAB toolbox for computing such centrality indices using efficient numerical algorithms based on the connection between the Lanczos method and Gauss-type quadrature rules.https://www.mdpi.com/1999-4893/15/9/296complex network analysiscentrality measurematrix functionLanczos algorithm
spellingShingle Caterina Fenu
Lothar Reichel
Giuseppe Rodriguez
SoftNet: A Package for the Analysis of Complex Networks
Algorithms
complex network analysis
centrality measure
matrix function
Lanczos algorithm
title SoftNet: A Package for the Analysis of Complex Networks
title_full SoftNet: A Package for the Analysis of Complex Networks
title_fullStr SoftNet: A Package for the Analysis of Complex Networks
title_full_unstemmed SoftNet: A Package for the Analysis of Complex Networks
title_short SoftNet: A Package for the Analysis of Complex Networks
title_sort softnet a package for the analysis of complex networks
topic complex network analysis
centrality measure
matrix function
Lanczos algorithm
url https://www.mdpi.com/1999-4893/15/9/296
work_keys_str_mv AT caterinafenu softnetapackagefortheanalysisofcomplexnetworks
AT lotharreichel softnetapackagefortheanalysisofcomplexnetworks
AT giusepperodriguez softnetapackagefortheanalysisofcomplexnetworks