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Operations on Dutch windmill graph of topological indices

A. Sinan Cevik|V.Lokesha|Sushmitha Jain|T. Deepika
장전수학회 (Jangjeon Mathematical Society)|2018.07|Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집) (Proceedings of the Jangjeon Mathematical Society)|제21권 제3호|pp. 525-534|DOI 10.17777/pjms.2018.21.3.017

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키워드

Friendship graphSymmetric division deg indexDutch windmill graphFirst and second Zagreb indicesSemi-total linePoint graph operatorTotal graph operator
주제분류수학

초록

Topological indices are well studied in recent years. These are useful tools in studying Quantitative Structure Activity Relationship (QSAR) and Quantitative Structure Property Relationship (QSPR). The main goal of this paper is to concentrate the investigation on generalized version of Dutch windmill graph of certain graph operators in terms of topological indices, for instance, symmetric division deg index, rst and second Zagreb indices.

Abstract

Topological indices are well studied in recent years. These are useful tools in studying Quantitative Structure Activity Relationship (QSAR) and Quantitative Structure Property Relationship (QSPR). The main goal of this paper is to concentrate the investigation on generalized version of Dutch windmill graph of certain graph operators in terms of topological indices, for instance, symmetric division deg index, rst and second Zagreb indices.

참고문헌 (15)

  1. M. Azari, "Sharp lower bounds on the Narumi-Katayama index of graph operations", Applied Mathematics and Computation, 239, pp.409~421 (2014)[DOI]
  2. V. Alexander, "Upper and lower bounds of Symmetric division deg index", Iranian Journal of Mathematical Chemistry, 5(2), pp.91~98 (2014)
  3. G.H. Fath-Tabar, "GA2 index of some graph operations", Filomat, 24(1), pp.210~218 (2010)
  4. C.K. Gupta, "On the Symmetric division deg index of graph", South East Asian Journal Of Mathematics, 4(11), pp.59~80 (2016)
  5. C.K. Gupta, "Graph Operations on Symmetric Division Deg Index of Graphs", Palestine Journal Of Mathematics, 6(1), pp.280~286 (2017)
  6. F. Harary, "Graph theory" (1994), Addison-Wesley
  7. O. Ivanciuc, "Topological In dices and Related Descriptors in QSAR and QSPR" (1999), Gordon and Breach
  8. M.H. Khalifeh, "The Hyper-Wiener index of graph operations", Computers and Mathematics with Applications, 56(5), pp.1402~1407 (2008)[DOI]
  9. M.H. Khalifeh, "The first and second Zagreb indices of some graph operations", Discrete Applied Mathematics, 157(4), pp.804~811 (2009)[DOI]
  10. B.S. Shwetha, "Computing some topological indices of Smart polymer", Digest Journal of Nanomaterials and Biostructures, 7(3), pp.1097~1102 (2012)
  11. B.S. Shwetha, "Computing ABC, GA, Randic and Zagreb Indices", Enlightment of Pure and Applied Mathematics, 1(1), pp.17~18 (2015)
  12. B.S. Shwetha, "A Comparative Study of Topological Indices and Molecular Weight of Some Carbohydrates", Journal of the Indian Academy of Mathematics, 34(2), pp.627~636 (2012)
  13. D. Vukicevic, "Bond additive modeling 1. Adriatic irndices", Croatica Chemica Acta, 83(3), pp.243~260 (2010)
  14. D. Vukicevic, "Bond Additive Modeling 2. Mathematical properties of Max-min rodeg index", Croatica Chemica Acta, 83(3), pp.261~273 (2010)
  15. X. Xu, "Relationships between Harmonic index and other topological indices", Applied Mathematical Sciences, 6(41), pp.2013~2018 (2012)

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