The Region Smoothing Swap Game
Combinatorics
2019-09-30 v1 Geometric Topology
Abstract
We introduce a topological combinatorial game called the Region Smoothing Swap Game. The game is played on a game board derived from the connected shadow of a link diagram on a (possibly non-orientable) surface by smoothing at crossings. Moves in the game are performed on regions of the diagram and can switch the direction of certain crossings' smoothing. The players' goals relate to the connectedness of the diagram produced by game play.
Keywords
Cite
@article{arxiv.1909.12370,
title = {The Region Smoothing Swap Game},
author = {Allison Henrich and Inga Johnson and Jonah Ostroff},
journal= {arXiv preprint arXiv:1909.12370},
year = {2019}
}
Comments
20 pages, 18 figures