Total variation based community detection using a nonlinear optimization approach

Andrea Cristofari, Francesco Rinaldi, Francesco Tudisco
SIAM J Applied Mathematics, 80 : 1392--1419 (2020)
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The expected adjacency and modularity matrices in the degree corrected stochastic block model

Dario Fasino, Francesco Tudisco
Special Matrices, 6 : 110--121 (2018)
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Modularity bounds for clusters located by leading eigenvectors of the normalized modularity matrix

Dario Fasino, Francesco Tudisco
Journal of Mathematical Inequalities, 11 : 701--714 (2017)
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A modularity based spectral method for simultaneous community and anti-community detection

Dario Fasino, Francesco Tudisco
Linear Algebra and its Applications, 542 : 605--623 (2018)
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Community detection in networks via nonlinear modularity eigenvectors

Francesco Tudisco, Pedro Mercado, Matthias Hein
SIAM J. Applied Mathematics, 78 : 2393--2419 (2018)
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Localization of dominant eigenpairs and planted communities by means of Frobenius inner products

Dario Fasino, Francesco Tudisco
Czechoslovak Mathematical Journal, 66 : 881--893 (2016)
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Generalized modularity matrices

Dario Fasino, Francesco Tudisco
Linear Algebra and its Applications, 502 : 327--345 (2016)
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An algebraic analysis of the graph modularity

Dario Fasino, Francesco Tudisco
SIAM J. Matrix Analysis and Applications, 35 : 997--1018 (2014)
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