35 citations · 35 across the 3 of their papers we have counts for
3 papers
Interval Decompositions for Multipersistence Modules over Finite Posets and Robustness of Sheaf Data on Simplicial Complexes
Pablo Hernández-García, Daniel Hernández Serrano, Darío Sánchez Gómez
We prove structure theorems for multipersistence modules indexed by finite posets that are not totally ordered. Specifically, we consider pointwise finite-dimensional modules over…
Centrality measures in simplicial complexes: applications of Topological Data Analysis to Network Science
Daniel Hernández Serrano, Darío Sánchez Gómez
Many real networks in social sciences, biological and biomedical sciences or computer science have an inherent structure of simplicial complexes reflecting many-body interactions.…
Simplicial degree in complex networks. Applications of Topological Data Analysis to Network Science
Daniel Hernández Serrano, Juan Hernández Serrano, Darío Sánchez Gómez
Network Science provides a universal formalism for modelling and studying complex systems based on pairwise interactions between agents. However, many real networks in the social,…