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math.CO2025
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…
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…