3 papers
math-ph2021
On the Properties of the Anisotropic Multivariate Hermite-Gauss Functions
Shlomi Steinberg, Ömer Eğecioğlu, Ling-Qi Yan
The Hermite-Gauss basis functions have been extensively employed in classical and quantum optics due to their convenient analytic properties. A class of multivariate Hermite-Gauss…
math.CO2020
Fibonacci-run graphs II: Degree sequences
Ömer Eğecioğlu, Vesna Iršič
Fibonacci cubes are induced subgraphs of hypercube graphs obtained by restricting the vertex set to those binary strings which do not contain consecutive 1s. This class of graphs h…
math.CO2020
Fibonacci-run graphs I: basic properties
Ömer Eğecioğlu, Vesna Iršič
Among the classical models for interconnection networks are hypercubes and Fibonacci cubes. Fibonacci cubes are induced subgraphs of hypercubes obtained by restricting the vertex s…