2 papers
math.CO2019
Critical group structure from the parameters of a strongly regular graph
Joshua E. Ducey, David L. Duncan, Wesley J. Engelbrecht +4
We give simple arithmetic conditions that force the Sylow -subgroup of the critical group of a strongly regular graph to take a specific form. These conditions depend only on th…
math.CO2018
Spectral characterizations of anti-regular graphs
Cesar O. Aguilar, Joon-yeob Lee, Eric Piato +1
We study the eigenvalues of the unique connected anti-regular graph . Using Chebyshev polynomials of the second kind, we obtain a trigonometric equation whose roots are the ei…