Steven Raanes

activity

20232026

collaborators

4 papers

math.CO2026

Counterexamples to the weak Hedetniemi Conjecture

Steven Raanes

For any $n$ , there exists finite simple graphs $G$ and $H$ such that $χ (G), χ (H) > n$ and $χ (G \times H) = 4$ .

math.GT2024

Average signature and 4-genus of 2-bridge knots

Moshe Cohen, Adam M. Lowrance, Neal Madras +1

We show that the average or expected absolute value of the signatures of all 2-bridge knots with crossing number $c$ approaches $2 c / π$ . Baader, Kjuchukova, Lewark, Misev,…

math.CO2023

Topological methods in zero-sum Ramsey theory

Florian Frick, Jacob Lehmann Duke, Meenakshi McNamara +5

A cornerstone result of Erd\H os, Ginzburg, and Ziv (EGZ) states that any sequence of $2 n - 1$ elements in $Z / n$ contains a zero-sum subsequence of length $n$ . While algebra…

math.GT2023

The distribution of genera of 2-bridge knots

Moshe Cohen, Abigail DiNardo, Adam M. Lowrance +4

The average genus of a 2-bridge knot with crossing number $c$ approaches $\frac{c}{4} + \frac{1}{12}$ as $c$ approaches infinity, as proven by Suzuki and Tran and independently Coh…