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DC Field | Value | Language |
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dc.contributor.author | Akbar Ali | en_US |
dc.contributor.author | Waqas Iqbal | en_US |
dc.contributor.author | Zahid Raza | en_US |
dc.contributor.author | Ekram E. Ali | en_US |
dc.contributor.author | Liu, Jia-Bao | en_US |
dc.contributor.author | Farooq Ahmad | en_US |
dc.contributor.author | Qasim Ali Chaudhry | en_US |
dc.date.accessioned | 2021-12-19T07:28:22Z | - |
dc.date.available | 2021-12-19T07:28:22Z | - |
dc.date.issued | 2021 | - |
dc.identifier.citation | Akbar Ali, Waqas Iqbal, Zahid Raza, Ekram E. Ali, Liu, J., Farooq Ahmad & Qasim Ali Chaudhry (2021). Some vertex/edge-degree-based topological indices of r-apex trees. Journal of Mathematics, 2021, 4349074-. https://dx.doi.org/10.1155/2021/4349074 | en_US |
dc.identifier.issn | 2314-4629 | en_US |
dc.identifier.uri | https://hdl.handle.net/10356/154062 | - |
dc.description.abstract | In chemical graph theory, graph invariants are usually referred to as topological indices. For a graph G, its vertex-degree-based topological indices of the form BIDG=∑uv∈EGβdu,dv are known as bond incident degree indices, where EG is the edge set of G, dw denotes degree of an arbitrary vertex w of G, and β is a real-valued-symmetric function. Those BID indices for which β can be rewritten as a function of du+dv-2 (that is degree of the edge uv) are known as edge-degree-based BID indices. A connected graph G is said to be r-apex tree if r is the smallest nonnegative integer for which there is a subset R of VG such that R=r and G-R is a tree. In this paper, we address the problem of determining graphs attaining the maximum or minimum value of an arbitrary BID index from the class of all r-apex trees of order n, where r and n are fixed integers satisfying the inequalities n-r≥2 and r≥1. | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Journal of Mathematics | en_US |
dc.rights | © 2021 Akbar Ali et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. | en_US |
dc.subject | Engineering::Mechanical engineering | en_US |
dc.title | Some vertex/edge-degree-based topological indices of r-apex trees | en_US |
dc.type | Journal Article | en |
dc.contributor.school | School of Mechanical and Aerospace Engineering | en_US |
dc.identifier.doi | 10.1155/2021/4349074 | - |
dc.description.version | Published version | en_US |
dc.identifier.scopus | 2-s2.0-85118544147 | - |
dc.identifier.volume | 2021 | en_US |
dc.identifier.spage | 4349074 | en_US |
dc.subject.keywords | Topological Indices | en_US |
dc.subject.keywords | Graphs | en_US |
dc.description.acknowledgement | This research was funded by Scientific Research Deanship at University of Ha'il, Saudi Arabia, through project no. RG-20 050. | en_US |
item.fulltext | With Fulltext | - |
item.grantfulltext | open | - |
Appears in Collections: | MAE Journal Articles |
Files in This Item:
File | Description | Size | Format | |
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4349074.pdf | 1.33 MB | Adobe PDF | View/Open |
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