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6 papers · 1 filter
A Hilton-Milner theorem for exterior algebras
Denys Bulavka, Francesca Gandini, Russ Woodroofe
Recent work of Scott and Wilmer and of Woodroofe extends the Erdős-Ko-Rado theorem from set systems to subspaces of k-forms in an exterior algebra. We prove an extension of the Hil…
A Recursion for the FiboNarayana and the Generalized Narayana Numbers
Kristina Garrett, Kendra Killpatrick
The Lucas polynomials, , are polynomials in and given by for with and . The lucanomial c…
Approval Voting in Product Societies
Kristen Mazur, Mutiara Sondjaja, Matthew Wright +1
In approval voting, individuals vote for all platforms that they find acceptable. In this situation it is natural to ask: When is agreement possible? What conditions guarantee that…
Coprime and prime labelings of graphs
Adam H. Berliner, Nathaniel Dean, Jonelle Hook +3
A coprime labeling of a simple graph of order is a labeling in which adjacent vertices are given relatively prime labels, and a graph is prime if the labels used can be taken t…
Presenting the cohomology of a Schubert variety
Victor Reiner, Alexander Woo, Alexander Yong
We extend the short presentation due to [Borel '53] of the cohomology ring of a generalized flag manifold to a relatively short presentation of the cohomology of any of its Schuber…
A matrix equation for association schemes
Laura M. Chihara, Dennis W. Stanton
{Let ${\Cal X}$ be a self-dual P-polynomial association scheme. Then there are at most 12 diagonal matrices such that . Moreover, all of the solutions for the classic…