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Computing Status Connectivity Indices and Its Coindices of Composite Graphs

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Abstract

This article is devoted to present the first status connectivity indices and its coindices of some composite graphs such as join, Cartesian product, corona product, and composition of two given connected graphs.

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References

  1. Ashrafi A.R, Doslić T, Hamzeh A (2010) The Zagreb coindices of graph operations. Discrete Appl. Math. 158:1571–1578.

    Article  MathSciNet  Google Scholar 

  2. Devillers J, Balaban A.T Eds.(1999) Topological indices and related descriptors in QSAR and QSPR. Gordon and Breach, Amsterdam, The Netherlands.

    Google Scholar 

  3. Dobrynin A.A, Entringer R, Gutman I (2001) Wiener index of trees: Theory and applications. Acta Appl. Math. 66:211–249.

    Article  MathSciNet  Google Scholar 

  4. Harary F (1959) Status and contrastatus. Sociometry 22:23–43.

    Article  MathSciNet  Google Scholar 

  5. Pattabiraman K, Paulraja P(2012) On some topological indices of the tensor product of graphs. Discrete Appl. Math. 160: 267–279.

    Article  MathSciNet  Google Scholar 

  6. Pattabiraman K, Paulraja P(2012) Wiener and vertex PI indices of the strong product of graphs. Discuss. Math. Graph Theory 32:749–769.

    Article  MathSciNet  Google Scholar 

  7. Pattabiraman K, Paulraja P(2011) Wiener index of the tensor product of a path and a cycle. Discuss. Math. Graph Theory 31 :737–751.

    Article  MathSciNet  Google Scholar 

  8. Ramane H. S, Yalnaik A.S (2016) Status connectivity indices of graphs and its applications to the boiling point of benzenoid hydrocarbons. J. Appl. Math. Comput. https://doi.org/10.1007/s12190-016-1052-5

    MATH  Google Scholar 

  9. Wiener H (1947) Structural determination of the paraffin boiling points. J. Amer. Chem. Soc. 69: 17–20.

    Article  Google Scholar 

  10. Yeh Y.N, Gutman I (1994) On the sum of all distances in composite graphs. Discrete Math. 135:359–365.

    Article  MathSciNet  Google Scholar 

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Pattabiraman, K., Santhakumar, A. (2019). Computing Status Connectivity Indices and Its Coindices of Composite Graphs. In: Rushi Kumar, B., Sivaraj, R., Prasad, B., Nalliah, M., Reddy, A. (eds) Applied Mathematics and Scientific Computing. Trends in Mathematics. Birkhäuser, Cham. https://doi.org/10.1007/978-3-030-01123-9_47

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