Katherine Staden

collaborators

2 papers

math.CO2026

Universality for transversal Hamilton cycles

Candida Bowtell, Patrick Morris, Yanitsa Pehova +1

Let $G = {G_{1}, \dots, G_{m}}$ be a graph collection on a common vertex set $V$ of size $n$ such that $I^´ (G_{i}) \geq (1 + o (1)) n /2$ for every $i \in [m]$ . We show that $\mathbf…

math.CO2025

Geometric constructions for Ramsey-TurÃ¡n theory

Hong Liu, Christian Reiher, Maryam Sharifzadeh +1

Combining two classical notions in extremal combinatorics, the study of Ramsey-TurÃ¡n theory seeks to determine, for integers $m \leq n$ and $p \leq q$ , the number $\mathsf{RT}_p(n,K…