3 papers
math.LO2026
Paths, Ends and The Separation Problem for Infinite Graphs
Nicanor Carrasco-Vargas, Valentino Delle Rose, Cristóbal Rojas
We introduce and study the Separation Problem for infinite graphs, which involves determining whether a connected graph splits into at least two infinite connected components after…
cs.LG2025
On statistical learning of graphs
Vittorio Cipriani, Valentino Delle Rose, Luca San Mauro +1
We study PAC and online learnability of hypothesis classes formed by copies of a countably infinite graph G, where each copy is induced by permuting G's vertices. This corresponds…
cs.LG2025
Three iterations of -WL test distinguish non isometric clouds of -dimensional points
Valentino Delle Rose, Alexander Kozachinskiy, Cristóbal Rojas +2
The Weisfeiler--Lehman (WL) test is a fundamental iterative algorithm for checking isomorphism of graphs. It has also been observed that it underlies the design of several graph ne…