P. Dukes

collaborators

2 papers

math.CO2026

Balancing permuted copies of multigraphs and integer matrices

Coen del Valle, Peter J. Dukes

Given a square matrix $A$ over the integers, we consider the $Z$ -module $M_{A}$ generated by the set of all matrices that are permutation-similar to $A$ . Motivated by analog…

math.CO2024

Six Permutation Patterns Force Quasirandomness

Gabriel Crudele, Peter Dukes, Jonathan A. Noel

A sequence $I ¨ _{1}, I ¨ _{2}, \dots$ of permutations is said to be "quasirandom" if the induced density of every permutation $I ¨ $ in $I ¨ _{n}$ converges to $1/∣ I ¨ ∣!$ as $n \to \infty$ . We prove…