paper

Applications of rational difference equations to spectral graph theory: expanded version

arXiv:2009.01648 · doi:10.1080/10236198.2021.1962315

Abstract

We study a general class of recurrence relations that appear in the application of a matrix diagonalization procedure. We find general closed formula and determine analytical properties of the solutions. We finally apply these findings in several problems involving eigenvalues of graphs.

19 figures, 32 pages. Journal of Difference Equations and Applications. Expanded version

Applications of rational difference equations to spectral graph theory: expanded version · wovepaper