Compound Node-Kayles on Paths
Discrete Mathematics
2009-04-23 v2
Abstract
In 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 mis\`ere play. We thus focus on the ten remaining versions, leaving only one of them unsolved.
Cite
@article{arxiv.0806.3033,
title = {Compound Node-Kayles on Paths},
author = {Adrien Guignard and Eric Sopena},
journal= {arXiv preprint arXiv:0806.3033},
year = {2009}
}
Comments
Theoretical Computer Science (2009) to appear