Unicyclic graphs with extremal values of arithmetic–geometric index

The n-vertex unicyclic graphs with extreme values of arithmetic–geometric index or AG index are determined for all values of n. The case regarding the extremal values of the AG index in the class of bicyclic graphs has been stated as open problem.

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Veröffentlicht in:Discrete Applied Mathematics 2021-10, Vol.302, p.67-75
Hauptverfasser: Vukićević, Žana Kovijanić, Vujošević, Saša, Popivoda, Goran
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container_title Discrete Applied Mathematics
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creator Vukićević, Žana Kovijanić
Vujošević, Saša
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description The n-vertex unicyclic graphs with extreme values of arithmetic–geometric index or AG index are determined for all values of n. The case regarding the extremal values of the AG index in the class of bicyclic graphs has been stated as open problem.
doi_str_mv 10.1016/j.dam.2021.06.009
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subjects Arithmetic
arithmetic–geometric index
Degree-based graph invariant
Extreme values
Graphs
Unicyclic graph
title Unicyclic graphs with extremal values of arithmetic–geometric index
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