3 papers
cs.LG2025
Metric spaces of walks and Lipschitz duality on graphs
R. Arnau, A. González Cortés, E. A. Sánchez Pérez +1
We study the metric structure of walks on graphs, understood as Lipschitz sequences. To this end, a weighted metric is introduced to handle sequences, enabling the definition of di…
cs.DS2024
A Bellman-Ford algorithm for the path-length-weighted distance in graphs
R. Arnau, J. M. Calabuig, L. M. GarcÃa Raffi +2
Consider a finite directed graph without cycles in which the arrows are weighted. We present an algorithm for the computation of a new distance, called path-length-weighted distanc…
math.FA2024
Eccentric summing Lipschitz operators and integral inequalities on metric spaces and graphs
R. Arnau, E. A. Sánchez Pérez, S. Sanjuan
The extension of the concept of summability for linear operators to the context of Lipschitz operators on metric spaces has been extensively studied in recent years. This resea…