C. Gaiser

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math.CO2026

Restricted generalized Schur numbers

Collier Gaiser

For $k \geq 2$ , let $S_{r} (k; ℓ)$ be the smallest $n$ , if exists, such that every $r$ -coloring of ${1, 2, \dots, n}$ has a monochromatic solution $S$ to the equation \[ x_1…

math.CO2026

Pattern avoidance in permutations and their rotations

Ömer Eğecioğlu, Collier Gaiser, Mei Yin

A rotation of a permutation is a new permutation obtained by moving the first several terms of the permutation to the end of the permutation. A circular permutation is the set of a…

math.CO2026

A sharp lower bound for some reciprocal Rado numbers

Collier Gaiser, Mojtaba Ramezanpour

Let $f_{r} (k)$ be the smallest $n$ such that every $r$ -coloring of ${1, 2, \dots, n}$ has a monochromatic solution to the equation \[\frac{1}{x_1}+\frac{1}{x_2}+\cdots+\frac{1}{x_k}=…