The Game of Arrows on 3-legged spider graphs

BG Mathews - arXiv preprint arXiv:2110.08738, 2021 - arxiv.org
The Game of Cycles is a combinatorial game introduced by Francis Su in 2020 in which
players take turns marking arrows on the edges of a simple plane graph, avoiding the …

[PDF][PDF] Some remarks on the Game of Cycles

R Fokkink, J Zandee - arXiv preprint arXiv:2209.14771, 2022 - intapi.sciendo.com
Abstract The Game of Cycles is an impartial game on a planar graph that was introduced by
Francis Su. In this short note we address some questions that have been raised on the …

Analyzing a Graph Theory Game

C Barua, E Burkholder, G Fragoso… - arXiv preprint arXiv …, 2022 - arxiv.org
We are investigating who has the winning strategy in a game in which two players take turns
drawing arrows trying to complete cycle cells in a graph. A cycle cell is a cycle with no …

The Game of Cycles with Sources Allowed

V Sahai, R Tripathi - arXiv preprint arXiv:2309.05902, 2023 - arxiv.org
In this paper, we introduce a variant of Francis Su's" Game of Cycles," that we call" Cycles
with Sources." The only change to the rules is permitting nodes to be sources, while sinks …

Playing Games with Cacti

S Adefiyiju, H Baranek, A Daly, X Goncalves… - Mathematics …, 2024 - Taylor & Francis
Summary 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 …

Relator games on groups

Z Gates, R Kelvey - … Game Theory: A Special Collection in Honor of …, 2022 - degruyter.com
We define two impartial games, the Relator Achievement Game REL and the Relator
Avoidance Game RAV. Given a finite group G and generating set S, both games begin with …

[PDF][PDF] Zachary Gates Department of Mathematics & Computer Science, Wabash College, Crawfordsville, Indiana gatesz@ wabash. edu

R Kelvey - INTEGERS, 2021 - math.colgate.edu
We define two impartial games, the Relator Achievement Game REL and the Relator
Avoidance Game RAV. Given a finite group G and generating set S, both games begin with …