General multiplicative Zagreb indices of unicyclic graphs

Monther Rashed Alfuraidan; Selvaraj Balachandran; Tomáš Vetrík

doi:10.37193/cjm.2021.01.01

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General multiplicative Zagreb indices of unicyclic graphs

Monther Rashed Alfuraidan Selvaraj Balachandran Tomáš Vetrík

Year: 2021 Journal: Carpathian Journal of Mathematics Vol: 37 (1)Pages: 1-11

DOI: 10.37193/cjm.2021.01.01

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Abstract

"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. "

Keywords:

Multiplicative function Mathematics Combinatorics Discrete mathematics Mathematical analysis

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Graph theory and applications

Physical Sciences → Mathematics → Geometry and Topology

Synthesis and Properties of Aromatic Compounds

Physical Sciences → Chemistry → Organic Chemistry

Molecular spectroscopy and chirality

Physical Sciences → Chemistry → Spectroscopy

General multiplicative Zagreb indices of unicyclic graphs

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