3 papers
math.CO2023
The number of independent sets in bipartite graphs and benzenoids
Michael Han, Sycamore Herlihy, Kirsti Kuenzel +2
Given a graph , we study the number of independent sets in , denoted . This parameter is known as both the Merrifield-Simmons index of a graph as well as the Fibonacci…
math.HO2023
SOS
Jasper Caravan, Michael Han, Andrew Kalashnikov +7
SOS is a game similar to tic-tac-toe. We study a variety of variations of it played on a 1-by- rectangle. On our journey we change the target string to SOO, then study all targe…
math.HO2021
Fun with Latin Squares
Michael Han, Tanya Khovanova, Ella Kim +8
Do you want to know what an anti-chiece Latin square is? Or what a non-consecutive toroidal modular Latin square is? We invented a ton of new types of Latin squares, some inspired…