811 citations
- Instituto de Astrofísica de CanariasES13 papers
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Showing 2018 · math.COShow all
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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…