2 citations · 2 across the 5 of their papers we have counts for
5 papers
A topological characterization of end space of infinite graphs via games, subspaces and products
Leandro Aurichi, Gustavo Boska, Davide Giacopello +1
In 1992, Diestel asked which topological spaces could be represented as the end space of some graph. In 2023, Pitz provided a solution to this question by giving a topological char…
Edge-ends versus topological ends of graphs
Leandro Aurichi, Paulo Magalhães Júnior, Guilherme Eduardo Pinto
Diestel and Kühn proved that the topological ends of an infinite graph are precisely its undominated graph ends, yielding a canonical embedding of the space of topological ends int…
On cycle covers of infinite bipartite graphs
Leandro Aurichi, Paulo Magalhães Júnior, Lyubomyr Zdomskyy
Given a graph and a subset of vertices of with size at least two, we denote by the set of vertices of that have at least two neighbors in . We say tha…
On edge-direction and compact edge-end spaces
Gustavo Boska, Matheus Duzi, Paulo Magalhães Júnior
Directions of graphs were originally introduced in the study of a cops-and-robbers kind of game, while the study of end spaces has been used to generalize classical graph-theoretic…
Topological remarks on end and edge-end spaces
Leandro Fiorini Aurichi, Paulo Magalhães Júnior, Lucas Real
The notion of ends in an infinite graph might be modified if we consider them as equivalence classes of infinitely edge-connected rays, rather than equivalence classes of infin…