New bounds on the hyper-Zagreb index for the simple connected graphs

DOI10.5614/ejgta.2018.6.1.12zbMath1467.05039OpenAlexW2796606627MaRDI QIDQ5009977

Mohammad Rostami, Toufik Mansour, Suresh Elumalai

Publication date: 23 August 2021

Published in: Electronic Journal of Graph Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5614/ejgta.2018.6.1.12

zbMATH Keywords

Zagreb indiceshyper-Zagreb indexforgotten index

Mathematics Subject Classification ID

Applications of graph theory (05C90) Vertex degrees (05C07) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (1)

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Uses Software

• GRAFFITI

Cites Work

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• Some extremal graphs with respect to inverse degree
• The Zagreb coindices of graph operations
• Some properties of the reformulated Zagreb indices
• The \(a\) and \((a, b)\)-analogs of Zagreb indices and coindices of graphs
• On reformulated Zagreb indices
• An upper bound on the sum of squares of degrees in a graph
• Maximizing the sum of the squares of the degrees of a graph
• On general sum-connectivity index
• New bounds of degree-based topological indices for some classes of \(c\)-cyclic graphs
• A forgotten topological index
• Zagreb indices of graphs
• Sums of powers of the degrees of a graph
• The third and hyper-Zagreb coindices of some graph operations
• Counting relations for general Zagreb indices

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