On the spectral radius and the energy of a digraph

dc.contributor.authorBozkurt, S. Burcu
dc.contributor.authorBozkurt, Durmus
dc.contributor.authorZhang, Xiao-Dong
dc.date.accessioned2020-03-26T19:06:32Z
dc.date.available2020-03-26T19:06:32Z
dc.date.issued2015
dc.departmentSelçuk Üniversitesien_US
dc.description4th International Conference on Matrix Analysis and Applications -- JUL 02-05, 2013 -- Konya, TURKEYen_US
dc.description.abstractThe energy of a digraph D is defined as E (D) = Sigma(n)(i=1) vertical bar Re (z(i))vertical bar, where z(1), ... , z(n) are the (possibly complex) eigenvalues of D. In this paper, we obtain an improved lower bound on the spectral radius of D. Considering this result, we present an upper bound on the energy of D. We also show that our results generalize and improve some known results for graphs and digraphs.en_US
dc.description.sponsorshipTUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Office of Selcuk University Scientific Research Project (BAP)Selcuk University; National Science Foundation of ChinaNational Natural Science Foundation of China [11271256]en_US
dc.description.sponsorshipS. B. Bozkurt and D. Bozkurt are partially supported by TUBITAK and the Office of Selcuk University Scientific Research Project (BAP). X.-D. Zhang is supported by National Science Foundation of China [grant number 11271256] during the proof of this paper.en_US
dc.identifier.doi10.1080/03081087.2014.896358en_US
dc.identifier.endpage2016en_US
dc.identifier.issn0308-1087en_US
dc.identifier.issn1563-5139en_US
dc.identifier.issue10en_US
dc.identifier.scopusqualityQ2en_US
dc.identifier.startpage2009en_US
dc.identifier.urihttps://dx.doi.org/10.1080/03081087.2014.896358
dc.identifier.urihttps://hdl.handle.net/20.500.12395/32392
dc.identifier.volume63en_US
dc.identifier.wosWOS:000363869000007en_US
dc.identifier.wosqualityQ2en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherTAYLOR & FRANCIS LTDen_US
dc.relation.ispartofLINEAR & MULTILINEAR ALGEBRAen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectspectral radius of a digraphen_US
dc.subjectenergy of a digraphen_US
dc.titleOn the spectral radius and the energy of a digraphen_US
dc.typeArticleen_US

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