The M-polynomials and topological indices of toroidal polyhex network

Ajmal, Muhammad; Nazeer, Waqas; Munir, Mobeen; Kang, Shin Min; Jung, Chahn Yong

doi:10.12988/ijma.2017.7119

Cited by 6 publications

(2 citation statements)

References 23 publications

(23 reference statements)

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“…Like TIs, polynomials also fund considerable applications in network theory and chemistry, for example, Hosoya polynomial, which is also known as Wiener polynomial, introduced in [18] plays an important role in computation of distance-based TIs. M-polynomial [19] was defined in 2015 and plays a similar role in computation of numerous degree-based TIs [20][21][22][23][24]. The M-polynomial contains precious information about degree-based TIs and many TIs can be computed from this simple algebraic polynomial.…”

Section: Introductionmentioning

confidence: 99%

https://pisrt.org/psr-press/journals/easl-vol-2-issue-1-2019/degree-based-graph-invariants-for-the-molecular-graph-of-bismuth-tri-iodide/

Shao

Virk

Javed

et al. 2019

Eng. Appl. Sci. Lett.

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In the fields of chemical graph theory (CGT), mathematical chemistry and molecular topology, a topological index (TI) also known as a connectivity index is a type of a molecular descriptor that is calculated based on the molecular graph of a chemical compound. BiI 3 is an excellent inorganic compound and is very useful in qualitative inorganic analysis and topological indices of BiI 3 help to predict many properties like boiling point, heat of formation, strain energy, rigidity and fracture toughness and correlate the structure with various physical properties, chemical reactivity and biological activities. This paper computes several degree-based topological indices like multiplicative first Zagreb index, multiplicative second Zagreb index, multiplicative atomic bond connectivity index, multiplicative first and second hyper Zagreb index and multiplicative geometric arithmetic index for Bismuth Tri-Iodide chains and sheets.

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Section: Introductionmentioning

confidence: 99%

https://pisrt.org/psr-press/journals/easl-vol-2-issue-1-2019/degree-based-graph-invariants-for-the-molecular-graph-of-bismuth-tri-iodide/

Shao

Virk

Javed

et al. 2019

Eng. Appl. Sci. Lett.

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“…( ) [6,7,11,[13][14][15][16][17][18][19][20][21][22][23][24][25][26] and references therein for detailed discussions of Zagreb and novel Zagreb indices. Extremal chemical trees with respect to Zagreb indices were determined in [8,9].…”

Section: Introductionmentioning

confidence: 99%

Extremal Chemical Trees of the First Reverse Zagreb Alpha Index

Ediz¹

2017

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Topological indices have important effect to develop chemical sciences by using graph invariants. The Zagreb indices are the most used topological indices in mathematical chemistry literature. Novel forms of Zagreb indices have been extensively defined in recent times. One of the latest version of the Zagreb indices is the reverse Zagreb alpha index.Extremal chemical trees with respect to Zagreb indices have been studied many times in the last two years. In this paper maximum chemical trees were characterized with respect to the first reverse Zagreb alpha index.

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On computation of newly defined degree-based topological invariants of Bismuth Tri-iodide via M-polynomial

Hameed

Husin

Afzal

et al. 2021

Journal of Discrete Mathematical Sciences and Cryptography

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The M-polynomials and topological indices of toroidal polyhex network

Abstract: The M-polynomial of different molecular structures helps us to calculate many topological indices. A topological index of graph G is

Cited by 6 publications

References 23 publications

https://pisrt.org/psr-press/journals/easl-vol-2-issue-1-2019/degree-based-graph-invariants-for-the-molecular-graph-of-bismuth-tri-iodide/

https://pisrt.org/psr-press/journals/easl-vol-2-issue-1-2019/degree-based-graph-invariants-for-the-molecular-graph-of-bismuth-tri-iodide/

Extremal Chemical Trees of the First Reverse Zagreb Alpha Index

On computation of newly defined degree-based topological invariants of Bismuth Tri-iodide via M-polynomial

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