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Title: | On the Harary index of graph operations |
Authors: | Das, Kinkar C. Xu, Kexiang Çevik, Ahmet Sinan Graovac, Ante Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 0000-0002-0700-5774 Cangül, İsmail Naci ABA-6206-2020 J-3505-2017 57189022403 |
Keywords: | Mathematics Graph Harary index Graph operations Wiener index Topological indexes Hyper-wiener Trees |
Issue Date: | 2013 |
Publisher: | Springer |
Citation: | Das, K. C. vd. (2013). "On the Harary index of graph operations". Journal of Inequalities and Applications, 2013. |
Abstract: | The Harary index is defined as the sum of reciprocals of distances between all pairs of vertices of a connected graph. In this paper, expressions for the Harary indices of the join, corona product, Cartesian product, composition and disjunction of graphs are derived and the indices for some well-known graphs are evaluated. In derivations some terms appear which are similar to the Harary index and we name them the second and third Harary index. |
URI: | https://doi.org/10.1186/1029-242X-2013-339 https://journalofinequalitiesandapplications.springeropen.com/articles/10.1186/1029-242X-2013-339 http://hdl.handle.net/11452/28910 |
ISSN: | 1029-242X |
Appears in Collections: | Scopus Web of Science |
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Cangül_vd_2013.pdf | 351.43 kB | Adobe PDF | View/Open |
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