Isospectral graphs and the representation-theoretical spectrum

Basit Öğe Kaydı
dc.WoS.categoriesMathematicsen_US
dc.contributor.authorDemir, Selçuk
dc.date.accessioned2020-04-24T13:00:52Z
dc.date.available2020-04-24T13:00:52Z
dc.date.issued2005
dc.description.abstractA finite connected k-regular graph X, k greater than or equal to 3, determines the conjugacy class of a cocompact torsion-free lattice Gamma in the isometry group G of the universal covering tree. The associated quasi-regular representation L-2 (Gamma\G) of G can be considered as an a priori stronger notion of the spectrum of X, called the representation spectrum. We prove that two graphs as above are isospectral if and only if they are representation-isospectral. In other words, for a cocompact torsion-free lattice Gamma in G the spherical part of the spectrum of Gamma determines the whole spectrum. We give examples to show that this is not the case if the lattice has torsion. (C) 2004 Elsevier Ltd. All rights reserved.en_US
dc.fullTextLevelFull Texten_US
dc.identifier.doi10.1016/j.ejc.2004.04.001en_US
dc.identifier.issn0195-6698
dc.identifier.scopus2-s2.0-10644255482en_US
dc.identifier.urihttps://hdl.handle.net/11411/1968
dc.identifier.urihttps://doi.org/10.1016/j.ejc.2004.04.001
dc.identifier.wosWOS:000226352100002en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakPubMeden_US
dc.issue2en_US
dc.language.isoenen_US
dc.nationalInternationalen_US
dc.numberofauthors1en_US
dc.pages167-172en_US
dc.publisherACADEMIC PRESS LTD ELSEVIER SCIENCE LTDen_US
dc.relation.ecYesen_US
dc.relation.ispartofEuropean Journal of Combinatoricsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.relation.tubitakYesen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.snmz20240718_Mükerrer
dc.titleIsospectral graphs and the representation-theoretical spectrumen_US
dc.typeArticleen_US
dc.volume26en_US

Dosyalar

Orijinal paket
Listeleniyor 1 - 1 / 1
Küçük Resim
İsim:
2005WOSDemir.pdf
Boyut:
126.83 KB
Biçim:
Adobe Portable Document Format
Açıklama:
İndir
Lisans paketi
Listeleniyor 1 - 1 / 1
Küçük Resim Yok
İsim:
license.txt
Boyut:
1.71 KB
Biçim:
Item-specific license agreed upon to submission
Açıklama:
İndir

Koleksiyon

Faculty of Engineering and Natural Sciences
Scopus Indexed Publications
Web of Science Indexed Publications