2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/210797We consider transient nearest neighbor random walks on the positive part of the real line. We give criteria for the finiteness of the number of cutpoints and strong cutpoints. Examples and open problems are presented.17 pagesProbability60J10 60F15 60J55On the number of cutpoints of the transient nearest neighbor random walk on the linetext