Gabe Cunningham

collaborators

4 papers

math.GR2025

Symmetric polytopes whose automorphism groups are 2-groups

Gabriel Cunningham, Yan-Quan Feng, Dong-Dong Hou +1

The present work investigates regular, semiregular, and chiral polytopes of any rank $d \geq 3$ , whose automorphism groups are 2-groups. There is a large variety of rather small fin…

math.CO2025

Graph Powers of Groups II: The RA Matrix

Gabe Cunningham, Igor Minevich

For a graph $Γ$ and group $G$ , $G^{Γ}$ is the subgroup of $G^{∣Γ∣}$ generated by elements with $g$ in the coordinates corresponding to $v$ and its neighbors in $Γ$ . There is a natura…

math.GR2025

Graph Powers of Groups

Gabe Cunningham, Igor Minevich

The Lights Out Puzzle, played on a graph $Γ$ , has been studied using linear algebra over $F_{2}$ and more generally over $Z / k Z$ . We generalize the setting…

cs.CC2024

Parks: A Doubly Infinite Family of NP-Complete Puzzles and Generalizations of A002464

Igor Minevich, Gabe Cunningham, Aditya Karan +1

The Parks Puzzle is a paper-and-pencil puzzle game that is classically played on a square grid with different colored regions (the parks). The player needs to place a certain numbe…