Author

Rodrigo Santos Monteiro

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Preprint Sep 2026

Kriesell's conjecture for infinite graphs

Let $G$ be a graph and $S\subseteq V(G)$ be a subset of vertices. An $S$-Steiner tree $T$ of $G$ is a tree of $G$ which contains $S$ in its vertex set $V(T)$. Kriesell conjectured that for every $2k$-edge-connected subset $S\subseteq V(G)$ in a finite connected graph $G$, there exist $k$ pairwise edge-disjoint $S$-Stei...

L. Aurichi, Paulo Magalhães, Rodrigo Santos Monteiro · 0 citations

Preprint Aug 2026

Menger and Rothberger games on convergence spaces

We introduce Menger and Rothberger selection principles and games for convergence spaces. Alice plays families that meet every convergent filter, and Bob's selections are required either to retain this property or merely to cover the underlying set. When the convergence is topological, both games recover the classical...

Renan Maneli Mezabarba, Rodrigo Santos Monteiro · 0 citations