2 papers
cs.SI2025
Local iterative algorithms for approximate symmetry guided by network centralities
David Hartman, Jaroslav Hlinka, Anna Pidnebesna +1
Recently, the influence of potentially present symmetries has begun to be studied in complex networks. A typical way of studying symmetries is via the automorphism group of the cor…
math.AT2024
Integral Betti signature confirms the hyperbolic geometry of brain, climate, and financial networks
Luigi Caputi, Anna Pidnebesna, Jaroslav Hlinka
This paper extends the possibility to examine the underlying curvature of data through the lens of topology by using the Betti curves, tools of Persistent Homology, as key topologi…