3 papers
math.CO2026
Chiral Polyhedra from AGL(1,q)
Evan Angelone, Egon Schulte
We present a construction of chiral and regular polyhedra from subgroups of the general affine group AGL(1,q) for odd prime powers q. In particular, we show that the full group AGL…
math.CO2025
Burning games on strong path products
Sally Ambrose, Evan Angelone, Jacob Chen +5
Burning and cooling are diffusion processes on graphs in which burned (or cooled) vertices spread to their neighbors with a new source picked at discrete time steps. In burning, th…
math.CO2025
Cops and robbers on chess graphs
Sally Ambrose, Evan Angelone, Jacob Chen +5
Cops and robbers is a pursuit-evasion game played on graphs. We completely classify the cop numbers for knight graphs and queen graphs. This completes the classificati…