2026-04-05T12:52:41Zhttps://recercat.cat/oai/requestoai:recercat.cat:2117/28182025-07-17T08:42:09Zcom_2072_1033col_2072_452950
On golden spectral graphs
Estrada Roger, Ernesto
Gago Álvarez, Silvia
Àrees temàtiques de la UPC::Matemàtiques i estadística
Graph theory
Multilinear algebra
Networks
Eigenvalues
Golden number
Expanders
Ramanujan graphs
Synchronizability
Grafs, Teoria de
Àlgebra multilineal
Classificació AMS::05 Combinatorics::05C Graph theory
Classificació AMS::15 Linear and multilinear algebra; matrix theory
Classificació AMS::94 Information And Communication, Circuits::94C Circuits, networks
The concept of golden spectral graphs is introduced and some of their general
properties reported. Golden spectral graphs are those having a golden proportion for the spectral ratios defined on the basis of the spectral gap, spectral spread and the difference between the second largest and the smallest eigenvalue of the adjacency matrix. They are good expanders and display excellent synchronizability. Here we report some new construction methods as well as several of their topological parameters.
2009-03-26
External research report
MTM2008-06620-C03-01/MTM
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
Open Access
Attribution-NonCommercial-NoDerivs 3.0 Spain