1 citations · 1 across the 3 of their papers we have counts for
3 papers
math.CO2024
Periodic orbits on 2-regular circulant digraphs
Isaac Echols, Jon Harrison, Tori Hudgins
Periodic orbits (equivalence classes of closed paths up to cyclic shifts) play an important role in applications of graph theory. For example, they appear in the definition of the…
math.CO2021
A combinatorial approach to counting primitive periodic and primitive pseudo orbits on circulant graphs
Lauren Engelthaler, Isaac Hellerman, Tori Hudgins
For families of 4-regular directed circulant graphs with vertices, we count the number of primitive periodic orbits of length up to at least . The relevant counting techniqu…
math-ph2020★ 1 cited
Complete Dynamical Evaluation of the Characteristic Polynomial of Binary Quantum Graphs
Jon Harrison, Tori Hudgins
We evaluate the variance of coefficients of the characteristic polynomial for binary quantum graphs using a dynamical approach. This is the first example where a spectral statistic…