2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/227967In his celebrated book "On Number and Games" (Academic Press, New-York, 1976), J.H. Conway introduced twelve versions of compound games. We analyze these twelve versions for the Node-Kayles game on paths. For usual disjunctive compound, Node-Kayles has been solved for a long time under normal play, while it is still unsolved under misère play. We thus focus on the ten remaining versions, leaving only one of them unsolved.Theoretical Computer Science (2009) to appearDiscrete Mathematicstext