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COMPUTATION OF CONNECTIVITY INDICES OF KULLI PATH WINDMILL GRAPH

Year 2018, Volume: 8 Issue: 1.1, 178 - 185, 01.09.2018

Abstract

The Kulli path windmill graph P m n+1 is the graph obtained by taking m 2 copies of the graph K1 + Pn for n 4 with a vertex K1 in common. In this paper, we determine Zagreb, hyper-Zagreb, sum connectivity, general sum connectivity, Randic connectivity, General Randic connectivity, atom-bond connectivity, geometric-arithmetic, harmonic and symmetric division deg indices of Kulli path windmill graph.

References

  • Clark, L., and Gutman, I., (2008), The exponent in the general Randic index, J. Math. Chem. 43, pp. 32-44.
  • Estrada, E., Torres, Rodriguez, L., and Gutman, I., (1998), An atom-bond connectivity index: Mod- elling the enthalphy of formation of alkanes, Indian J. Chem. 37A, pp. 849-855.
  • Fajtlowicz, S.,(1987), On conjectures of Graffiti-II, Congr. Numer. 60, pp. 187-197.
  • Farahani, M. R., Rajesh Kanna, M. R., and Pradeep Kumar, R., (2016), On the hyper-Zageb indices of some nanostructurs, Asian Academic Research J. Multidisciplinary, 3(1), pp. 115-123.
  • Gallian, J. A., (2007), Dynamic Survey DS6: Graph Labeling, Electronic J. Combin., DS6, pp. 1-58.
  • Gutman, I., and Trinajstic, N., (1972), Graph Theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, pp. 535-538.
  • Kulli, V. R., (2012), College Graph Theory, Vishwa International Publications, Gulbarga, India.
  • Kulli, V. R., (2016), The first and second Kaindices and coindices of graphs, International Journal of Mathematical Archive, 7(5), pp. 71-77.
  • Kulli, V. R., Chaluvaraju, B., and Boregowda, H. S., (2016), Some degree based connectivity indices Kulli cycle windmill graph, submitted.
  • Randic, M., (1975), On characterization of molecular branching, J. Am. Chem. Soc., 97, pp. 6609 - 6615.
  • Shirdel, G. H., Rezapour, H., and Sayadi, A. M., (2013), The hyper-Zagreb index of graph operations, Iran J. Math. Chem. 4(2), pp. 213-220.
  • Vukicvic., D. and Furtula, B., (2009), Topological index on the ratio of geometrical and arithmetical means of end vertex degrees of edges, J. Math. Chem, 46, pp. 1369-1376.
  • Vukicevic., D., and Gasperov, M., (2010), Bond Additive Modeling 1. Adriatic Indices, Croatica chemica acta 83(3), pp. 243-260.
  • Zhou, B., and Trinajstic, N., (2009), On a novel connectivity index, J. Math. Chem. 46, pp. 1252-1270.
Year 2018, Volume: 8 Issue: 1.1, 178 - 185, 01.09.2018

Abstract

References

  • Clark, L., and Gutman, I., (2008), The exponent in the general Randic index, J. Math. Chem. 43, pp. 32-44.
  • Estrada, E., Torres, Rodriguez, L., and Gutman, I., (1998), An atom-bond connectivity index: Mod- elling the enthalphy of formation of alkanes, Indian J. Chem. 37A, pp. 849-855.
  • Fajtlowicz, S.,(1987), On conjectures of Graffiti-II, Congr. Numer. 60, pp. 187-197.
  • Farahani, M. R., Rajesh Kanna, M. R., and Pradeep Kumar, R., (2016), On the hyper-Zageb indices of some nanostructurs, Asian Academic Research J. Multidisciplinary, 3(1), pp. 115-123.
  • Gallian, J. A., (2007), Dynamic Survey DS6: Graph Labeling, Electronic J. Combin., DS6, pp. 1-58.
  • Gutman, I., and Trinajstic, N., (1972), Graph Theory and molecular orbitals, Total π-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17, pp. 535-538.
  • Kulli, V. R., (2012), College Graph Theory, Vishwa International Publications, Gulbarga, India.
  • Kulli, V. R., (2016), The first and second Kaindices and coindices of graphs, International Journal of Mathematical Archive, 7(5), pp. 71-77.
  • Kulli, V. R., Chaluvaraju, B., and Boregowda, H. S., (2016), Some degree based connectivity indices Kulli cycle windmill graph, submitted.
  • Randic, M., (1975), On characterization of molecular branching, J. Am. Chem. Soc., 97, pp. 6609 - 6615.
  • Shirdel, G. H., Rezapour, H., and Sayadi, A. M., (2013), The hyper-Zagreb index of graph operations, Iran J. Math. Chem. 4(2), pp. 213-220.
  • Vukicvic., D. and Furtula, B., (2009), Topological index on the ratio of geometrical and arithmetical means of end vertex degrees of edges, J. Math. Chem, 46, pp. 1369-1376.
  • Vukicevic., D., and Gasperov, M., (2010), Bond Additive Modeling 1. Adriatic Indices, Croatica chemica acta 83(3), pp. 243-260.
  • Zhou, B., and Trinajstic, N., (2009), On a novel connectivity index, J. Math. Chem. 46, pp. 1252-1270.
There are 14 citations in total.

Details

Primary Language English
Journal Section Research Article
Authors

V. R. Kulli This is me

B. Chaluvaraju This is me

H. S. Boregowda This is me

Publication Date September 1, 2018
Published in Issue Year 2018 Volume: 8 Issue: 1.1

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