2 papers
math.GT2025
Average crosscap number of a 2-bridge knot
Moshe Cohen, Thomas Kindred, Adam M. Lowrance +2
We determine a simple condition on a particular state graph of an alternating knot or link diagram that characterizes when the unoriented genus and crosscap number coincide, extend…
math.CO2025
The change-making problem for six coin values and beyond
Cornelia A. Van Cott, Qiyu Zhang
The change-making problem asks: given a positive integer and a collection of integer coin values , what is the minimum number of coins needed t…