3 papers
math.OC2025
Using Integer Programming to Solve Games, Puzzles, and Ciphers
Elizabeth Bouzarth, John Harris, Kevin Hutson +1
In this paper, we introduce three different classes of undergraduate research projects that implement model building and integer programming. These research projects focus on deter…
math.CO2025
Projective Planar Cartesian Products of Graphs
Nicholas Abell, Elizabeth McDermott, Christian Millichap
In this paper, we provide a complete classification of Cartesian products of graphs that embed in the projective plane. Our work requires us to determine minimal Cartesian products…
cs.CR2023
Modifying twist algorithms for determining the key length of a Vigenère cipher
Christian Millichap, Yeeka Yau, Alyssa Pate +1
In this article, we analyze and improve upon the twist-based algorithms introduced by Barr--Simoson and Park--Kim--Cho--Yum for determining the key length of a Vigenère cipher. We…