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The Wiener Polynomial for the Subdivision Graph of Certain Classes of Graphs

V. Lokesha|S. Shetty|P. Raju|S. Ranjini
장전수학회 (Jangjeon Mathematical Society)|2015.10|Advanced Studies in Contemporary Mathematics|제25권 제4호|pp. 565-576

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참고문헌

키워드

fan graphsubdivision graphWiener polynomialcrown graphbarbell graphtrampoline graph
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초록

One of the oldest distance-based topological index, the Wiener index is studied and expressions for the Wiener polynomial of the subdivision graph of the crown graph, trampoline graph, barbell graph and fan graph are presented here.

Abstract

One of the oldest distance-based topological index, the Wiener index is studied and expressions for the Wiener polynomial of the subdivision graph of the crown graph, trampoline graph, barbell graph and fan graph are presented here.

참고문헌 (17)

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  6. P. S. Ranjini, "On the Shultz index of the subdivision graphs", Advanced Studies in Contemporary Mathematics, 21(3), pp.279~290 (2011), 장전수학회
  7. V. Lokesha, "Eccentric Connectivity Index, Hyper and Reverse-Wiener indices of the Subdivision Graph", General Mathematics Notes, 2(2), pp.14~ (2011)
  8. P. S. Ranjini, "On Wiener polynomial of the subdivision Graphs", Chineese Journal of Engineering mathematics, 28(3), pp.3~11 (2011)
  9. P. S. Ranjini, "On the Zagreb Indices of the Line Graphs of the Subdivision Graphs", Applied Mathematics and Computation, 218(3), pp.699~702 (2011)
  10. Ranjini. P. S, "The Smarandache-Zagreb Indices on the Three Graph Operators", Int. J. Math. Combin, 3, pp.1~10 (2010)
  11. P. S. Ranjini, "On Zagreb indices of the subdivision graphs", Int. J. Math. Sc. Eng. Appl., 4, pp.221~228 (2010)
  12. Shwetha shetty B, "Computing Some Topological Indices Of Smart Polymer", Digest Journal of Nanomaterials and Biostructures, 7(3), pp.1097~1102 (2012)
  13. Shwetha shetty, B, "A Comparative Study Of Topological Indices and Molecular Weight of Some Carbohydrates", J. Indian Acad. Math., 34(2), pp.627~636 (2012)
  14. Shwetha shetty .B, "New bounds for Randic and GA indices", Journal of Inequalities and Applications, 180, pp.1~7 (2013)
  16. H. Wiener, "Structural determination of the paraffn boiling points", Journal of the American Chemical Society, 69, pp.17~20 (1947)
  17. B. Y. Yang, "About wiener Numbers and Polynomials", Proc. Of Second International Taiwan-Moscow Algebra workshop, pp.203~226 (2000), Springer

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