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https://dx.doi.org/10.48550/ar...
Article . 2017
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The $M$-Polynomial and Topological Indices of Generalized M��bius Ladder and Its Line Graph

Authors: Nizami, Abdul Rauf; Idrees, Muhammad; Amin, Numan;

The $M$-Polynomial and Topological Indices of Generalized M��bius Ladder and Its Line Graph

Abstract

The $M$-polynomial was introduced by Deutsch and Klav��ar in 2015 as a graph polynomial to provide an easy way to find closed formulas of degree-based topological indices, which are used to predict physical, chemical, and pharmacological properties of organic molecules. In this paper we give general closed forms of the $M$-polynomial of the generalized M��bius ladder and its line graph. We also compute Zagreb Indices, generalized Randi�� indices, and symmetric division index of these graphs via the $M$-polynomial.

12 pages, 7 figures

Keywords

05C07, 92E10, 05C31, FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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selected citations
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This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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