General multiplicative Zagreb indices of unicyclic graphs

General multiplicative Zagreb indices of unicyclic graphs

General multiplicative Zagreb indices generalize well-known multiplicative Zagreb indices of graphs. We present lower and upper bounds on the general multiplicative Zagreb indices for unicyclic graphs with given number of vertices and diameter/number of pendant vertices/cycle of given length. All bo...

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Veröffentlicht in:Carpathian Journal of Mathematics 2021-01, Vol.37 (1), p.1-11
Hauptverfasser: Alfuraidan, Monther R., Balachandran, Selvaraj, Vetrík, Tomáš
Format: Artikel
Sprache:eng
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Zusammenfassung:General multiplicative Zagreb indices generalize well-known multiplicative Zagreb indices of graphs. We present lower and upper bounds on the general multiplicative Zagreb indices for unicyclic graphs with given number of vertices and diameter/number of pendant vertices/cycle of given length. All bounds are best possible. Bounds on the classical multiplicative Zagreb indices of unicyclic graphs are corollaries of the general results.
ISSN:1584-2851
1843-4401
DOI:10.37193/CJM.2021.01.01