4 papers
Efficient Decomposition of Forman-Ricci Curvature on Vietoris-Rips Complexes and Data Applications
Danillo Barros de Souza, Jonatas Teodomiro, Fernando A. N. Santos +5
Discrete Forman-Ricci curvature (FRC) is an efficient tool that characterizes essential geometrical features and associated transitions of real-world networks, extending seamlessly…
Alternative set-theoretical algorithms for efficient computations of cliques in Vietoris-Rips complexes
Danillo Barros de Souza, Jonatas Teodomiro, Fernando A. N. Santos +2
Identifying cliques in dense networks remains a formidable challenge, even with significant advances in computational power and methodologies. To tackle this, numerous algorithms h…
Efficient set-theoretic algorithms for computing high-order Forman-Ricci curvature on abstract simplicial complexes
Danillo Barros de Souza, Jonatas T. S. da Cunha, Fernando A. N. Santos +2
Forman-Ricci curvature (FRC) is a potent and powerful tool for analysing empirical networks, as the distribution of the curvature values can identify structural information that is…
Charge Transport at Atomic Scales in 1D-Semiconductors: A Quantum Statistical Model Allowing Rigorous Numerical Studies
Roisin Dempsey Braddell, Jone Uria-Albizuri, Jean-Bernard Bru +1
There has been a recent surge of interest in understanding charge transport at atomic scales. The motivations are myriad, including understanding the conductance properties of pept…