The spectra of subKautz and cyclic Kautz digraphs
Visualitza/Obre
Cita com:
hdl:2117/108455
Tipus de documentArticle
Data publicació2017-10-15
EditorElsevier
Condicions d'accésAccés obert
Llevat que s'hi indiqui el contrari, els
continguts d'aquesta obra estan subjectes a la llicència de Creative Commons
:
Reconeixement-NoComercial-SenseObraDerivada 3.0 Espanya
Abstract
Kautz digraphs K(d,l) are a well-known family of dense digraphs, widely studied as a good model for interconnection networks. Closely related with these, the cyclic Kautz CK(d,l) and the subKautz sK(d,2) digraphs were recently introduced by Böhmová, Huemer and the author. In this paper we propose a new method to obtain the complete spectra of subKautz sK(d,2) and cyclic Kautz CK(d,3) digraphs, for all d=3, through the Hoffman–McAndrew polynomial and regular partitions. This approach can be useful to find the spectra of other families of digraphs with high regularity.
Descripció
© 2017. This manuscript version is made available under the CC-BY-NC-ND 4.0 license http://creativecommons.org/licenses/by-nc-nd/4.0/
CitacióDalfo, C. The spectra of subKautz and cyclic Kautz digraphs. "Linear algebra and its applications", 15 Octubre 2017, vol. 531, p. 210-219.
ISSN0024-3795
Versió de l'editorhttp://www.sciencedirect.com/science/article/pii/S0024379517303464
Fitxers | Descripció | Mida | Format | Visualitza |
---|---|---|---|---|
spectrum-CK(d,l)(24mai2017)-rev-sense-format.pdf | 336,1Kb | Visualitza/Obre |