On the general sum-connectivity index of connected graphs with given order and girth

DOI10.5614/ejgta.2016.4.1.1zbMath1467.05136OpenAlexW2340538715MaRDI QIDQ5006570

Ioan Tomescu

Publication date: 16 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.2016.4.1.1

zbMATH Keywords

convex functiongirthJensen inequalitysubadditive functionpendant vertexgeneral sum-connectivity indexzeroth-order general randic index

Mathematics Subject Classification ID

Extremal problems in graph theory (05C35) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Connectivity (05C40) Signed and weighted graphs (05C22) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items (6)

Zeroth-order general Randić index of trees with given distance k-domination number ⋮ On the reduced second Zagreb index of graphs ⋮ 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 \(\alpha > 1\) ⋮ Cacti with maximal general sum-connectivity index ⋮ Harary index of bipartite graphs

Cites Work

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• Minimum general sum-connectivity index of unicyclic graphs
• On the general sum-connectivity index of trees
• 2-connected graphs with minimum general sum-connectivity index
• On general sum-connectivity index

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