15 citations · 66 across the 29 of their papers we have counts for
30 papers
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 of a finite group is called a Chowla set if every elemen…
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…
A Bound for Vizing's Conjecture
Mohsen Aliabadi, Elliot Krop
Vizing's conjecture, dating back to 1963, asserts that \[ γ(G\mathbin{\square}H) \geq γ(G)γ(H) \] for all finite graphs and , where denotes the domination number and $\s…
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…
Grundy domination of forests and the strong product conjecture
Kayla Bell, Keith Driscoll, Elliot Krop +1
A maximum sequence of vertices in a graph , so that every vertex in has a neighbor which is independent, or is itself independent, from all previous vertices in , is…
Upper bounds for inverse domination in graphs
Elliot Krop, Jessica McDonald, Gregory J. Puleo
In any graph , the domination number is at most the independence number . The Inverse Domination Conjecture says that, in any isolate-free , there exists pair of…