Certain topological indices and polynomials for the Isaac graphs

Poojary, Prasanna; Raghavendra, Agepati S.; Shenoy, B. G.; Farahani, Mohammad Reza; Sooryanarayana, B.

doi:10.1080/09720529.2021.1896648

Cited by 13 publications

(7 citation statements)

References 22 publications

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“…Forgotten polynomial and index: The forgotten polynomial and index is explained in [38]. Equation 5shows the mathematical formulation.…”

Section: Topological Indices With Polynomialmentioning

confidence: 99%

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General vertex-degree-based topological indices of Graphene Oxide (C 140 H 42 O 20 ) graphs with advanced entropies

Kamran,

Salamat,

Nadeem

et al. 2024

Preprint

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Nanomaterials have been widely used in a number of sectors during the past few decades, including electronics, pharmaceuticals , cosmetics, food processing, construction, and aeronautics. These nanomaterials may improve approaches for therapy, diagnosis, and prevention in the medical field. Graphene oxide (GO), an oxidised derivative of graphene, is now used in biotechnology and medicine for the treatment of cancer, drug delivery, and cellular imaging. Large surface area, electrical charge, and nanoscale size are other physicochemical properties of GO. The factors that are crucial for QSAR and QSPR analyses are topological indices. Shannon’s entropy measures, which characterise graphs by looking at the structure information of graphs and networks, are the primary type of topological indices now in use.Graph theory, biology, and chemistry are just a few of the disciplines that employ the graph entropy measurements. Two examples of thermodynamic entropy utilised in the molecular dynamics research of complicated chemical systems are the configuration entropy of glass-forming liquids or the thermodynamic entropy of enzyme-substrate complexations. In this paper, several degree-based entropies calculated using topological indices. The required outcomes were obtained by combining curve fitting between determined information entropies and topological indices with numerical and graphical representations of computed findings. Learn about the entropy-based symmetry analysis of the topological indices. The system is based on topological indices, which offer a thorough overview of all potentially important factors that may be important in structurally changing (C140H42O20) for certain applications. Mathematics Subject Classification: 05C09, 05C92, 05C07, 92E10

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“…Forgotten polynomial and index: The forgotten polynomial and index is explained in [38]. Equation 5shows the mathematical formulation.…”

Section: Topological Indices With Polynomialmentioning

confidence: 99%

“…We acquire the 2 nd redefined Zagreb index by having taken the first derivative at κ = 1, after simplifying Eqn. (38).…”

Section: The First Redefined Zagreb Entropy Of Graphene Oxidementioning

confidence: 99%

General vertex-degree-based topological indices of Graphene Oxide (C 140 H 42 O 20 ) graphs with advanced entropies

Kamran,

Salamat,

Nadeem

et al. 2024

Preprint

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“…Recently some Gourava indices were studied, for example, in [12][13][14][15][16][17][18][19][20][21][22][23][24][25].…”

Section: mentioning

confidence: 99%

On Alpha and Gamma Gourava Indices

Kulli

2024

IJMCR

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“…Although the Zagreb index is much older, the first Zagreb polynomial was introduced in 2009 [148,149]. They are useful for: surveying nanotube structure; the study of antiinflammatory activities; modelling the fraction bound and clearance of cephalosporins in humans; or total π-electron energy [150][151][152].…”

Section: Zagreb Polynomialsmentioning

confidence: 99%

Counting Polynomials in Chemistry: Past, Present, and Perspectives

Joița,

Tomescu,

Jäntschi

2023

Symmetry

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Counting polynomials find their way into chemical graph theory through quantum chemistry in two ways: as approximate solutions to the Schrödinger equation or by storing information in a mathematical form and trying to find a pattern in the roots of these expressions. Coefficients count how many times a property occurs, and exponents express the extent of the property. They help understand the origin of regularities in the chemistry of specific classes of compounds. Our objective is to accelerate the research of newcomers into chemical graph theory. One problem in understanding these concepts is in the different approaches and notations of each research study; some researchers provide online tools for computing these mathematical concepts, but these need to be maintained for functionality. We take advantage of similar mathematical aspects of 14 such polynomials that merge theoretical chemistry and pure mathematics; give examples, differences, and similarities; and relate them to recent research.

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Certain topological indices and polynomials for the Isaac graphs

Cited by 13 publications

References 22 publications

General vertex-degree-based topological indices of Graphene Oxide (C 140 H 42 O 20 ) graphs with advanced entropies

General vertex-degree-based topological indices of Graphene Oxide (C 140 H 42 O 20 ) graphs with advanced entropies

On Alpha and Gamma Gourava Indices

Counting Polynomials in Chemistry: Past, Present, and Perspectives

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