Some vertex/edge-degree-based topological indices of \(r\)-apex trees

DOI10.1155/2021/4349074zbMath1477.05023OpenAlexW3207411673MaRDI QIDQ2051642

Qasim Ali Chaudhry, Zahid Raza, Jia-Bao Liu, Ekram E. Ali, Farooq Ahmad, Waqas Iqbal, Akbar Ali

Publication date: 24 November 2021

Published in: Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2021/4349074

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

• Fast partitioning \(l\)-apex graphs with applications to approximating maximum induced-subgraph problems
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• Extremal graphs for weights
• An upper bound on the sum of squares of degrees in a graph
• On the extremal graphs with respect to bond incident degree indices
• On the extremal graphs for general sum-connectivity index \((\chi_{{}_\alpha})\) with given cyclomatic number when \(\alpha > 1\)
• Face covers and the genus problem for apex graphs
• Augmented Zagreb index
• On variable sum exdeg indices of quasi-tree graphs and unicyclic graphs
• Bounds on \(F\)-index of tricyclic graphs with fixed pendant vertices
• Minimum variable connectivity index of trees of a fixed order
• The minimal augmented Zagreb index of \(k\)-apex trees for \(k\in\{1,2,3\}\)
• On general sum-connectivity index
• Some Results on Forgotten Topological Coindex
• Generalized Zagreb index of product graphs
• MAXIMUM ZAGREB INDICES IN THE CLASS OF k-APEX TREES
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