E. Krop

collaborators

5 papers

math.NT2026

Extremal Chowla sets and their linear analogues: A human-AI mathematical investigation using Co-Scientist

Mohsen Aliabadi, Keith Driscoll, Elliot Krop +3

We introduce an extremal invariant associated with Chowla-type order conditions in finite groups. A nonempty subset $S$ of a finite group $G$ is called a Chowla set if every elemen…

math.CO2026

Odd-cycle defects in the Alon-Friedland bound

Mohsen Aliabadi, Elliot Krop

Let $G$ be a finite simple graph. We study perfect matchings through two complementary viewpoints: reductions to bipartite permanent terms and the directed cycle covers counted b…

math.CO2026

An improved constant for Vizing's conjecture

Mohsen Aliabadi, Elliot Krop

For any graph $G = (V, E)$ , a subset $S \subseteq V$ dominates $G$ if $N [S] = V$ . The minimum cardinality over all such $S$ is called the domination number, written $I^^{3} (G)$ . The c…

math.CO2026

Matchings in Matroids over Abelian Groups, III

Mohsen Aliabadi, Elliot Krop

This paper develops matroidal analogues of classical results on matchings in abelian groups. By embedding matroid ground sets in an abelian group, we introduce base matchings betwe…

math.CO2025

A new bound for Vizing's conjecture

Elliot Krop, Kimber Wolff

For any graph $G$ , we define the power $I ¨ (G)$ as the minimum of the largest number of neighbors in a $I^^{3}$ -set of $G$ , of any vertex, taken over all $I^^{3}$ -sets of $G$ . We show that…