3 papers
math.CO2026
Describing ends and tangles (and their edge variants) through Boolean algebras and functors
Violeta Mar, Gustavo Boska
The end space of an infinite graph arises naturally in many contexts as an important invariant and an interesting construction. It compactifies a locally finite graph and Diestel s…
math.GN2026
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…
math.CO2025
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…