In this note we show that for each positive integer a⩾2 there exist infinitely many trees whose spectral radius is equal to √2a. Such trees are obtained by replacing the central edge of the double star S(a,2a−2) with suitable bidegreed caterpillars.
Infinite families of trees with equal spectral radius / Belardo, F.; Brunetti, M.. - In: EXAMPLES AND COUNTEREXAMPLES. - ISSN 2666-657X. - 5:(2024), pp. 1-4. [10.1016/j.exco.2024.100138]
Infinite families of trees with equal spectral radius
Belardo F.;Brunetti M.
2024
Abstract
In this note we show that for each positive integer a⩾2 there exist infinitely many trees whose spectral radius is equal to √2a. Such trees are obtained by replacing the central edge of the double star S(a,2a−2) with suitable bidegreed caterpillars.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Infinite families of trees with equal spectral radius.pdf
accesso aperto
Descrizione: Articolo
Tipologia:
Versione Editoriale (PDF)
Licenza:
Creative commons
Dimensione
633.1 kB
Formato
Adobe PDF
|
633.1 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
