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http://hdl.handle.net/11452/31281| Title: | On average eccentricity of graphs |
| Authors: | Das, Kinkar Chandra Maden, Ayşe Dilek Çevik, Ahmet Sinan Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü. 0000-0002-0700-5774 Cangül, İsmail Naci ABA-6206-2020 J-3505-2017 57189022403 |
| Keywords: | Science & technology - other topics Graph Distances Average eccentricity Eccentricity Clique number First Zagreb index Energy Geometric-arithmetic index (GA1) Atom-bond connectivity index ( ABC) Atom-bond connectivity Index Alkanes Independence number |
| Issue Date: | 20-Oct-2016 |
| Publisher: | Natl Acad Sciences |
| Citation: | Das, K. C. vd. (2017). ''On average eccentricity of graphs''. Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 87(1), 23-30. |
| Abstract: | The eccentricity of a vertex is the maximum distance from it to any other vertex and the average eccentricity avec(G) of a graph G is the mean value of eccentricities of all vertices of G. In this paper we present some lower and upper bounds for the average eccentricity of a connected (molecular) graph in terms of its structural parameters such as number of vertices, diameter, clique number, independence number and the first Zagreb index. Also, we obtain a relation between average eccentricity and first Zagreb index. Moreover, we compare average eccentricity with graph energy, ABC index and index. |
| URI: | https://doi.org/10.1007/s40010-016-0315-8 https://link.springer.com/article/10.1007/s40010-016-0315-8 http://hdl.handle.net/11452/31281 |
| ISSN: | 0369-8203 2250-1762 |
| Appears in Collections: | Scopus Web of Science |
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