3 papers
math.CO2025
On Pancyclicity in a Mixed Model for Domination Reconfiguration
Margaret-Ellen Messinger, Logan Pipes
A new model for domination reconfiguration is introduced which combines the properties of the preexisting token addition/removal (TAR) and token sliding (TS) models. The vertices o…
math.OC2022
Bounding Real Tensor Optimizations via the Numerical Range
Nathaniel Johnston, Logan Pipes
We show how the numerical range of a matrix can be used to bound the optimal value of certain optimization problems over real tensor product vectors. Our bound is stronger than the…
quant-ph2021
Spectral Properties of Symmetric Quantum States and Symmetric Entanglement Witnesses
Gabriel Champagne, Nathaniel Johnston, Mitchell MacDonald +1
We introduce and explore two questions concerning spectra of operators that are of interest in the theory of entanglement in symmetric (i.e., bosonic) quantum systems. First, we in…