Playing Games with Cacti
Combinatorics
2023-02-20 v1
Abstract
The Game of Cycles is a two-player impartial mathematical game, introduced by Francis Su in his book Mathematics for Human Flourishing (2020). The game is played on simple planar graphs in which players take turns marking edges using a sink-source rule. In Alvarado et al., the authors determine who is able to win on graphs with certain types of symmetry using a mirror-reverse strategy. In this paper, we analyze the game for specific types of cactus graphs using a modified version of the mirror-reverse strategy.
Keywords
Cite
@article{arxiv.2302.08593,
title = {Playing Games with Cacti},
author = {Samuel Adefiyiju and Heather Baranek and Abigail Daly and Xadia M. Goncalves and Mary Leah Karker and Alison LaBarre and Shanise Walker},
journal= {arXiv preprint arXiv:2302.08593},
year = {2023}
}
Comments
17 pages, 11 figures