4 papers
Character theoretic techniques for nonabelian partial difference sets
Seth R. Nelson, Eric Swartz
A -partial difference set (PDS) is a subset of size of a group of order such that every nonidentity element of can be expressed in either …
Planar Graphs with Ore-degree at Most seven is strongly -edge-colorable
Seth Nelson, Gexin Yu
A strong edge-coloring of a graph is a coloring of edges of such that every color class forms an induced matching. The strong chromatic index is the minimum number of color…
Optical Vortex Spin-Orbit Control of Refractive Index in Iron Garnets
Seth Nelson, Cong Yu, Daniel Watson +2
The interaction between light's angular momentum (AM) and material systems has unlocked new avenues in structured photonics, including in magneto-optical (MO) materials. While spin…
Long-range quantum entanglement in dielectric mu-near-zero metamaterials
Olivia Mello, Larissa Vertchenko, Seth Nelson +4
Entanglement is paramount in quantum information processing. Many quantum systems suffer from spatial decoherence in distances over a wavelength and cannot be sustained over short…