3 papers
math.CO2020
Cayley graphs for extraspecial p-groups and a covering graph perspective on Huang's theorem
Maxwell Levit
In 1985, Arjeh Cohen and Jacques Tits proved the existence of a 4-cycle-free 2-fold cover of the hypercube. This Cohen-Tits cover is closely related to the signed adjacency matrix…
math.CO2020
Graph covers with two new eigenvalues
Chris Godsil, Maxwell Levit, Olha Silina
A certain signed adjacency matrix of the hypercube, which Hao Huang used last year to resolve the sensitivity conjecture, is closely related to the unique, 4-cycle free, 2-fold cov…
math.CO2018
On Eulerian orientations of even-degree hypercubes
Maxwell Levit, L. Sunil Chandran, Joseph Cheriyan
It is well known that \textit{every} Eulerian orientation of an Eulerian -edge connected (undirected) graph is strongly -edge connected. An important goal in the area is to…