John R. Schmitt

activity

20182025

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Showing math.COShow all

4 papers · 1 filter

math.CO2025

Structured and Punctured Nullstellensätze

Erhard Aichinger, John R. Schmitt, Henry Zhan

A Nullstellensatz is a theorem providing information on polynomials that vanish on a certain set: David Hilbert's Nullstellensatz (1893) is a cornerstone of algebraic geometry, and…

math.CO2024

Repeatedly applying the Combinatorial Nullstellensatz for Zero-sum Grids to Martin Gardner's minimum no-3-in-a-line problem

Seunghwan Oh, John R. Schmitt, Xianzhi Wang

In 1976 Martin Gardner posed the following problem: ``What is the smallest number of [queens] you can put on an [ $n \times n$ chessboard] such that no [queen] can be added without…

math.CO2021

Growable Realizations: a Powerful Approach to the Buratti-Horak-Rosa Conjecture

M. A. Ollis, Anita Pasotti, Marco A. Pellegrini +1

Label the vertices of the complete graph $K_{v}$ with the integers ${0, 1, \dots, v - 1}$ and define the length of the edge between $x$ and $y$ to be $min (∣ x - y ∣, v - ∣ x - y ∣)$ .…

math.CO2018

Distinct Partial Sums in Cyclic Groups: Polynomial Method and Constructive Approaches

Jacob Hicks, M. A. Ollis, John. R. Schmitt

Let $(G, +)$ be an abelian group and consider a subset $A \subseteq G$ with $∣ A ∣ = k$ . Given an ordering $(a_{1}, \dots, a_{k})$ of the elements of $A$ , define its {\em partial sums} by…