20 citations · 47 across the 6 of their papers we have counts for
Showing math.COShow all
3 papers · 1 filter
math.CO2019★ 7 cited
The role of the anti-regular graph in the spectral analysis of threshold graphs
Cesar O. Aguilar, Matthew Ficarra, Natalie Schurman +1
The purpose of this paper is to highlight the role played by the anti-regular graph within the class of threshold graphs. Using the fact that every threshold graph contains a maxim…
math.CO2018★ 20 cited
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…
math.CO2018
Anti-regular graphs with loops and their spectrum
Cesar O. Aguilar
We characterize the graphs with loops whose degree sequences have no repeated values and find their adjacency spectrum. In the case of simple graphs, such graphs are called anti-re…