Compound Node-Kayles on Paths

In his celebrated book On Numbers 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 mis`ere play. We thus focus on the ten remaining versions, leaving only one of them unsolved.

• Type: Journal
• Year: 2008
• Where: CORR
• Authors: Adrien Guignard, Eric Sopena
• Keywords: Academic Press, Celebrated Book, CORR 2008, Education, Usual Disjunctive Compound