2019
DOI: 10.30538/psrp-odam2019.0016
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M-polynomial of some cactus chains and their topological indices

Abstract: In this note, we first show that the general Zagreb index can be obtained from the M−polynomial of a graph by giving a suitable operator. Next, we obtain M−polynomial of some cactus chains. Furthermore, we derive some degree based topological indices of cactus chains from their M−polynomial.

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Cited by 18 publications
(9 citation statements)
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“…Similarly, Deutsch and Klavzar [49] proposed the M-polynomial, a degree-based polynomial, which can be used to construct a number of indices. Because of its broad adaptability, it has been utilized in a number of articles to obtain topological indices [50][51][52][53][54][55][56][57]. Mondal et al [58] recently examined four antiviral medicines for COVID-19 patients: remdesivir, chloroquine, hydroxychloroquine, and theaflavin.…”
Section: Introductionmentioning
confidence: 99%
“…Similarly, Deutsch and Klavzar [49] proposed the M-polynomial, a degree-based polynomial, which can be used to construct a number of indices. Because of its broad adaptability, it has been utilized in a number of articles to obtain topological indices [50][51][52][53][54][55][56][57]. Mondal et al [58] recently examined four antiviral medicines for COVID-19 patients: remdesivir, chloroquine, hydroxychloroquine, and theaflavin.…”
Section: Introductionmentioning
confidence: 99%
“…M-polynomials are associated with degree-based indices [22][23][24][25][26][27][28][29][30][31] whereas CoM-polynomials with that of non-adjacency vertices [32].…”
Section: Com-polynomialmentioning
confidence: 99%
“…Some important polynomials are Zagreb polynomial, 13 Hosoya polynomial, 14 Schultz polynomial, 15 Forgotten polynomial, 16 Matching polynomial, 17 Tutte polynomial, 18 M‐polynomial, 19 NM‐polynomial, 20 RNM‐polynomial 21 and so on. Recently many researches have been working using M‐polynomial to recover many degree‐based topological indices 22‐32 . Here we use M‐polynomial to deduce the above defined degree based topological indices.…”
Section: Introductionmentioning
confidence: 99%
“…Recently many researches have been working using M-polynomial to recover many degree-based topological indices. [22][23][24][25][26][27][28][29][30][31][32] Here we use M-polynomial to deduce the above defined degree based topological indices.…”
mentioning
confidence: 99%