2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/120287In the present paper we show that the spectrum of an arbitrary starlike graph can be completely determined via separating functions $ρ_t$ (see \cite{NazRoi,RedRoi,Red3}). This fact helps to get in an easy way several results for the spectra of starlike graphs.Combinatorics05C50; 05C05text