On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs
| dc.contributor.author | Bozkurt, S. Burcu | |
| dc.contributor.author | Bozkurt, Durmuş | |
| dc.date.accessioned | 2020-03-26T18:30:58Z | |
| dc.date.available | 2020-03-26T18:30:58Z | |
| dc.date.issued | 2012 | |
| dc.department | Selçuk Üniversitesi | en_US |
| dc.description.abstract | For a graph G without isolated vertices and a real alpha not equal 0, we introduce a new graph invariant s(alpha)(*) (G)- the sum of the alpha th power of the non-zero normalized Laplacian eigenvalues of G. Recently, the cases alpha = 2 and -1 have appeared in various problems in the literature. Here, we present some lower and upper bounds of s(alpha)(*)(G) for a connected graph G, where alpha not equal 0, 1. We also discuss the case alpha = -1. | en_US |
| dc.description.sponsorship | TUBITAKTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Office of Selcuk University Scientific Research Project (BAP)Selcuk University | en_US |
| dc.description.sponsorship | The authors thank the referees for their helpful suggestions concerning the presentation of this paper. They are also thankful to TUBITAK and the Office of Selcuk University Scientific Research Project (BAP). This study is a part of first author's PhD Thesis. | en_US |
| dc.identifier.citation | Bozkurt, S. B., Bozkurt, D., (2012). On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs. Match-communications in Mathematical and in Computer Chemistry, 68(3), 917-930. | |
| dc.identifier.endpage | 930 | en_US |
| dc.identifier.issn | 0340-6253 | en_US |
| dc.identifier.issue | 3 | en_US |
| dc.identifier.scopusquality | Q1 | en_US |
| dc.identifier.startpage | 917 | en_US |
| dc.identifier.uri | https://hdl.handle.net/20.500.12395/28272 | |
| dc.identifier.volume | 68 | en_US |
| dc.identifier.wos | WOS:000312622900021 | en_US |
| dc.identifier.wosquality | Q1 | en_US |
| dc.indekslendigikaynak | Web of Science | en_US |
| dc.indekslendigikaynak | Scopus | en_US |
| dc.institutionauthor | Bozkurt, S. Burcu | |
| dc.institutionauthor | Bozkurt, Durmuş | |
| dc.language.iso | en | en_US |
| dc.publisher | Univ Kragujevac, Fac Science | en_US |
| dc.relation.ispartof | Match-communications in Mathematical and in Computer Chemistry | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.selcuk | 20240510_oaig | en_US |
| dc.title | On the Sum of Powers of Normalized Laplacian Eigenvalues of Graphs | en_US |
| dc.type | Article | en_US |
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