Academic literature on the topic 'Modified neighborhood Dakshayani indices'

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Journal articles on the topic "Modified neighborhood Dakshayani indices"

1

V., R. Kulli. "F1 -NEIGHBORHOOD AND SQUARE NEIGHBORHOOD DAKSHAYANI INDICES OF SOME NANOSTRUCTURES." INTERNATIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH TECHNOLOGY 8, no. 8 (2019): 126–38. https://doi.org/10.5281/zenodo.3377432.

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We propose the modified first and second neighborhood Dakshayani indices, F<sub>1</sub>-neighborhood Daksiyani index, minus neighborhood Dakshayani index and square neighborhood Dakshayani index of a graph. In this study, we compute the F<sub>1</sub> neighborhood Dakshayani index, minus neighborhood Dakshayani index, square neighborhood Dakshayani index and their polynomials of line graphs of subdivision graphs of 2-D lattice, nanotube, nanotorus of TUC<sub>4</sub>C<sub>8</sub> [p, q]. Furthermore we determine the modified first and second neighborhood Dakshayani indices of 2-D lattice, nanotube, nanotorus of TUC<sub>4</sub>C<sub>8</sub> [p, q]. &nbsp; <strong>Mathematics&nbsp; Subject Classification :</strong> 05<em>C</em>07, 05<em>C</em>12, 05<em>C</em>76 &nbsp;
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2

Kulli, V. R. "Multiplicative ABC, GA and AG Neighborhood Dakshayani Indices of Dendrimers." International Journal of Fuzzy Mathematical Archive 17, no. 02 (2019): 77–82. http://dx.doi.org/10.22457/203ijfma.v17n2a2.

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Connectivity indices are applied to measure the chemical characteristics of chemical compounds in Chemical Sciences, Medical Sciences. In this study, we introduce the multiplicative ABC neighborhood Dakshayani index, multiplicative GA neighborhood Dakshayani index and multiplicative AG neighborhood Dakshayani index of a molecular graph. We compute these multiplicative connectivity neighborhood Dakshayani indices of POPAM dendrimers. Also we determine the multiplicative sum connectivity neighborhood Dakshayani index and multiplicative product connectivity neighborhood Dakshayani index of POPAM dendrimers.
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3

Kulli, V. R. "Connectivity Neighborhood Dakshayani Indices of POPAM Dendrimers." Annals of Pure and Applied Mathematics 20, no. 1 (2019): 49–54. http://dx.doi.org/10.22457/apam.631v20n1a7.

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4

V R, Kulli. "Computation of Distance Based Connectivity Status Neighborhood Dakshayani Indices." International Journal of Mathematics Trends and Technology 68, no. 6 (2020): 118–28. http://dx.doi.org/10.14445/22315373/ijmtt-v66i6p513.

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5

Afzal, Deeba, Saira Hameed, Usman Ashraf, Arif Mehmood, Faryal Chaudhry, and Dhan Kumari Thapa. "Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph." Journal of Function Spaces 2022 (June 15, 2022): 1–16. http://dx.doi.org/10.1155/2022/8661489.

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Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index; neighborhood forgotten topological index; neighborhood second modified Zagreb index; neighborhood general Randic index; neighborhood harmonic index; neighborhood inverse sum index; first, second, third, fourth, and fifth NDe indices; fourth atom bond connective index; fifth geometric arithmetic index; fifth arithmetic-geometric index; fifth hyper-first and second Zagreb index; general first neighborhood index; and Sanskruti index. These neighborhood topological indices are computed both direct and via the NM-polynomial approach.
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Mondal, Sourav, Nilanjan De, and Anita Pal. "Topological properties of Graphene using some novel neighborhood degree-based topological indices." International Journal of Mathematics for Industry 11, no. 01 (2019): 1950006. http://dx.doi.org/10.1142/s2661335219500060.

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Topological indices are numeric quantities that transform chemical structure to real number. Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule. In this paper, some newly designed neighborhood degree-based topological indices named as neighborhood Zagreb index ([Formula: see text]), neighborhood version of Forgotten topological index ([Formula: see text]), modified neighborhood version of Forgotten topological index ([Formula: see text]), neighborhood version of second Zagreb index ([Formula: see text]) and neighborhood version of hyper Zagreb index ([Formula: see text]) are obtained for Graphene and line graph of Graphene using subdivision idea. In addition, these indices are compared graphically with respect to their response for Graphene and line graph of subdivision of Graphene.
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7

V.R., Kulli. "Neighborhood Kepler Banhatti and Modified Neighborhood Kepler Banhatti Indices of Certain Dendrimers." International Journal of Mathematics and Computer Research 13, no. 03 (2025): 4983–91. https://doi.org/10.5281/zenodo.15067443.

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In this paper, we introduce the neighborhood Kepler Banhatti index, modified neighborhood Kepler Banhatti index and their corresponding exponentials of a graph. Also we compute these neighborhood Kepler Banhatti indices of certain dendrimers. Furthermore, we establish some properties of newly defined the neighborhood Kepler Banhatti index.
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8

Aslam, Madeeha, Deeba Afzal, Mohammad Reza Farahani, Murat Cancan, and Mehdi Alaeiyan. "Computational Study of Tetrameric 1-3 Adamantane via NM-Polynomial." Archives des Sciences 74, no. 3 (2024): 43–50. http://dx.doi.org/10.62227/as/74308.

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NM-polynomial is commendably effective for computations of neighborhood degree sum based topological indices. This work comprises of computations of topological invariants which are first, second, third, fourth and fifth N D e indices, third version of Zagreb index, neighborhood second Zagreb index, neighborhood second modified Zagreb index, neighborhood forgotten topological index, neighborhood general Randi\’c index, neighborhood harmonic index, neighborhood inverse sum index, fourth atom bond connective index, fifth geometric arithmetic index, fifth arithmetic geometric index, fifth hyper first and second Zagreb index and Sunskurti index. In the end graphs are added for better understanding of these invariants.
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9

Altassan, Alaa, Anwar Saleh, Hanaa Alashwali, Marwa Hamed, and Najat Muthana. "Entire Neighborhood Topological Indices: Theory and Applications in Predicting Physico-Chemical Properties." International Journal of Analysis and Applications 23 (March 31, 2025): 79. https://doi.org/10.28924/2291-8639-23-2025-79.

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Topological indices are numerical descriptors that describe the chemical structures of chemical compounds using their molecular graphs. Recent advancements in topological indices have seen the emergence of neighborhood indices and entire topological indices, offering distinct perspectives on molecular structure. Neighborhood indices emphasize local atomic environments, while entire indices provide a comprehensive view by considering interactions between atoms, bonds, and their combinations. To achieve a more balanced and informative representation, we introduce 'entire neighborhood indices'. By integrating the localized focus of neighborhood indices within the framework of entire indices, these new descriptors offer a more complete picture of molecular structure and are expected to significantly enhance the accuracy of predictions for various molecular properties. In this paper, we introduce a new version of Zagreb topological indices named first, second, and modified entire neighborhood topological indices; denoted by \(NM_{1}^{\varepsilon}\), \(NM_{2}^{\varepsilon}\), and \(MNM_{1}^{\varepsilon}\), respectively. The structure-property regression analysis is used to investigate and compute the chemical significant of these newly introduced indices for the prediction of the physico-chemical properties of octane isomers and benzenoid hydrocarbons benchmark datasets. We analays and calculate the specific formulae of the entire neighborhood indices for several important graph families such as path, regular, cycle, complete, bipartite, book, gear and helm graph. Furthermore, we determine the exact value of these new indices for some types of bridge graphs and Sierpinski graphs.
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10

Mondal, Sourav, Nilanjan De, and Anita Pal. "On Some New Neighborhood Degree-Based Indices for Some Oxide and Silicate Networks." J 2, no. 3 (2019): 384–409. http://dx.doi.org/10.3390/j2030026.

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Topological indices are numeric quantities that describes the topology of molecular structure in mathematical chemistry. An important area of applied mathematics is the chemical reaction network theory. Real-world problems can be modeled using this theory. Due to its worldwide applications, chemical networks have attracted researchers since their foundation. In this report, some silicate and oxide networks are studied, and exact expressions of some newly-developed neighborhood degree-based topological indices named as the neighborhood Zagreb index ( M N ), the neighborhood version of the forgotten topological index ( F N ), the modified neighborhood version of the forgotten topological index ( F N ∗ ), the neighborhood version of the second Zagreb index ( M 2 ∗ ), and neighborhood version of the hyper Zagreb index ( H M N ) are obtained for the aforementioned networks. In addition, a comparison among all the indices is shown graphically.
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