Steven Raanes

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20232026

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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.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…