PAPER / ARXIV:2609.08994
Xiao-Chuan Liu , Boyan Xu , Xu Yang
RESUMO
A family of paths strongly separates the edges of a graph if every two distinct edges are separated in both directions by paths in the family. Bonamy, Botler, Dross, Naia, and Skokan proved that every $n$-vertex graph admits such a family of at most $19n$ paths. We improve this bound to $10n-o(n)$.
NO MESMO MAPA