An explicit formula for eigenvalues of Bethe trees and upper bounds on the largest eigenvalue of any tree

By Oscar Rojo, María Robbiano. 2007

52 citations recorded by the source corpus.

Subfields: Computational Theory and Mathematics, Geometry and Topology, Organic Chemistry

View Paper: https://www.semanticscholar.org/paper/333e772737611a4d7e937c6ddf2889811d5a81ed

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Theory and Mathematics

1. Shankar Bhamidi
2. Arnab Sen
3. Steven N. Evans

In Geometry and Topology

1. Shankar Bhamidi
2. Steven N. Evans

Citations in the corpus

• Spectra of Large Random Trees (2009, background): “We note that, although trees are rather simple graphs, the analysis of their eigenvalues is still rather challenging, and even in the case of highly symmetric deterministic trees explicit formulae for spectra have only been found recently [Roj08, RR07a , Roj07, RR07b, Roj06a, Roj06b, RS05].”