On the general sum-connectivity index of tricyclic graphs

DOI10.1007/s12190-015-0898-2zbMath1339.05214OpenAlexW934187505MaRDI QIDQ295444

Zhongxun Zhu, Hongyan Lu

Publication date: 13 June 2016

Published in: Journal of Applied Mathematics and Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12190-015-0898-2

zbMATH Keywords

transformationtricyclic graphgeneral sum-connectivity index

Mathematics Subject Classification ID

Paths and cycles (05C38) Connectivity (05C40)

Related Items (13)

Relations between the general sum connectivity index and the line graph ⋮ Bounds of degree-based molecular descriptors for generalized \(F\)-sum graphs ⋮ Counting independent sets in tricyclic graphs ⋮ On the extremal graphs with respect to bond incident degree indices ⋮ An alternative but short proof of a result of Zhu and Lu concerning general sum-connectivity index ⋮ General sum-connectivity index of a graph and its line graph ⋮ Unnamed Item ⋮ On the extremal graphs for general sum-connectivity index \((\chi_{{}_\alpha})\) with given cyclomatic number when \(\alpha > 1\) ⋮ Inequalities on the inverse degree index ⋮ On the general sum-connectivity index of trees with given number of pendent vertices ⋮ Graph entropy based on the number of spanning forests of \(c\)-cyclic graphs ⋮ Cacti with maximal general sum-connectivity index ⋮ The minimum general sum-connectivity index of trees with given matching number

Cites Work

• Unicyclic graphs of given girth \(k\geq 4\) having smallest general sum-connectivity index
• Minimum general sum-connectivity index of unicyclic graphs
• On the general sum-connectivity index of trees
• On a novel connectivity index
• On general sum-connectivity index
• Series expansion of the directed percolation probability
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