Spectral radii of friendship graphs and their connected induced subgraphs

Repositorio Académico UOH

dc.contributor.author	Seeger, A
dc.contributor.author	Sossa, D
dc.date.accessioned	2024-01-17T15:55:41Z
dc.date.available	2024-01-17T15:55:41Z
dc.date.issued	2023
dc.identifier.uri	https://repositorio.uoh.cl/handle/611/852
dc.description.abstract	The purpose of this work is to shed some new light on the spectral properties of the family of friendship graphs and, more generally, the family of weak-friendship graphs. A weak-friendship graph is a connected induced subgraph of a friendship graph. We characterize the spectral radius of a friendship graph and of each one of its connected induced subgraphs. We prove that the separability index of the family of weak-friendship graphs is equal to 2. We provide exact and asymptotic estimates for the number of complementarity eigenvalues of a weak-friendship graph.
dc.relation.uri	http://dx.doi.org/10.1080/03081087.2021.2017836
dc.subject	Friendship graphs
dc.subject	spectral radius
dc.subject	cospectrality
dc.subject	complementarity eigenvalue
dc.subject	spectral redundancy
dc.subject	separability index
dc.title	Spectral radii of friendship graphs and their connected induced subgraphs
dc.type	Artículo
uoh.revista	LINEAR & MULTILINEAR ALGEBRA
dc.identifier.doi	10.1080/03081087.2021.2017836
dc.citation.volume	71
dc.citation.issue	1
uoh.indizacion	Web of Science