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math.CO2013★ 1 cited
Counting Spectral Radii of Matrices with Positive Entries
J. A. Dias da Silva, Pedro J. Freitas
The sum-product conjecture of Erd\H os and Szemerédi states that, given a finite set of positive numbers, one can find asymptotic lower bounds for of…
math.CO2001★ 2 cited
A Heawood-type result for the algebraic connectivity of graphs on surfaces
Pedro Freitas
We prove that the algebraic connectivity a(G) of a graph embedded on a nonplanar surface satisfies a Heawood-type result. More precisely, it is shown that the algebraic connectivit…