Extremal problems on forest cuts and acyclic neighborhoods in sparse graphs (extended abstract) - Botler, Fábio Happ; Couto, Yan Soares; Fernandes, Cristina Gomes; Figueiredo, E F; Gómez, Renzo; Santos, V. F; Sato, C M (European Conference on Combinatorics, Graph Theory and Applications - EUROCOMB, 2025)