3 papers
math.CO2026
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
Emilie Dufresne, Gabriela Jeronimo, Jenny Kenkel +2
The graph reconstruction conjecture asserts that every simple graph on at least three vertices is uniquely determined by its deck of vertex-deleted subgraphs. In this expository ar…
math.AC2025
Artinian Gorenstein algebras with binomial Macaulay dual generator
Nasrin Altafi, Rodica Dinu, Sara Faridi +4
This paper initiates a systematic study for key properties of Artinian Gorenstein \(K\)-algebras having binomial Macaulay dual generators. In codimension 3, we demonstrate that all…
math.AC2025
New families of Artinian Gorenstein algebras with the weak Lefschetz property
Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti +3
We construct new families of Artinian Gorenstein graded -algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefsche…