2023/02/16 by Samuel Adefiyiju, Heather Baranek, Adefiyiju, Samuel +11
Mathematics · Social Sciences · #91A46 (Primary) 05C57 (Secondary) #Combinatorics (math.CO) #FOS: Mathematics #History and Theory of Mathematics #Mathematics Education and Teaching Techniques #Statistics Education and Methodologies
paper · pdf · doi:10.48550/arxiv.2302.08593
openalex publication_date 2023/02/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.