We explore the Hunters and Rabbits game on the hypercube. In the process, we find the solution for all classes of graphs with an isoperimetric nesting property and find the exact hunter number of Qn to be 1+i=0∑n−2(⌊i/2⌋i). In addition, we extend results to the situation where we allow the rabbit to not move between shots.
Cite
@article{arxiv.1701.08726,
title = {Hunting Rabbits on the Hypercube},
author = {Jessalyn Bolkema and Corbin Groothuis},
journal= {arXiv preprint arXiv:1701.08726},
year = {2018}
}