2 papers
math.CO2025
A Classification of Winning Sets of Cops in
Kenzie Fontenot, Iris Nguyen, Cody Olsen
The game of Cops and Robbers is a pursuit-evasion game on graphs that has been extensively studied in finite settings, particularly through the concept of cop number. In this paper…
math.MG2022
Landscapes of the Tetrahedron and Cube: An Exploration of Shortest Paths on Polyhedra
Kenzie Fontenot, Erin Raign, August Sangalli +4
We consider the problem of determining the length of the shortest paths between points on the surfaces of tetrahedra and cubes. Our approach parallels the concept of Alexandrov's s…