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dc.contributor.authorAkbar Alien_US
dc.contributor.authorWaqas Iqbalen_US
dc.contributor.authorZahid Razaen_US
dc.contributor.authorEkram E. Alien_US
dc.contributor.authorLiu, Jia-Baoen_US
dc.contributor.authorFarooq Ahmaden_US
dc.contributor.authorQasim Ali Chaudhryen_US
dc.identifier.citationAkbar 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-.
dc.description.abstractIn 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.relation.ispartofJournal of Mathematicsen_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.subjectEngineering::Mechanical engineeringen_US
dc.titleSome vertex/edge-degree-based topological indices of r-apex treesen_US
dc.typeJournal Articleen
dc.contributor.schoolSchool of Mechanical and Aerospace Engineeringen_US
dc.description.versionPublished versionen_US
dc.subject.keywordsTopological Indicesen_US
dc.description.acknowledgementThis research was funded by Scientific Research Deanship at University of Ha'il, Saudi Arabia, through project no. RG-20 050.en_US
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