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Entire Zagreb index of vertex and edge F-join of graphs

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Graph theoretical operations are used to obtain combinatorial properties of large graphs in terms of smaller graphs. In this article, we deal with one of the new operations related to the vertex and edge F-join of graphs and calculate the first entire Zagreb index of the vertex and edge F-join of graphs.

Abstract

Graph theoretical operations are used to obtain combinatorial properties of large graphs in terms of smaller graphs. In this article, we deal with one of the new operations related to the vertex and edge F-join of graphs and calculate the first entire Zagreb index of the vertex and edge F-join of graphs.

참고문헌 (12)

  1. Anwar Alwardi, "Entire Zagreb indices of graphs, Discrete Mathematics", Algorithms and Applications, 10(3), pp.1~16 (2018)
  2. J. Devillers, "Topological Indices and Related Descriptors in QSAR and QSPR" (1999), Gordon Breach
  3. G. H. Fath-Tabar, "Old and New Zagreb Indices of Graphs", MATCH Communications in Mathematical and in Computer Chemistry, 65, pp.79~84 (2011)
  4. B. Furtula, "A forgotten topological index", Journal of Mathematical Chemistry, 53(4), pp.1184~1190 (2015)
  5. I. Gutman, "The first zagreb index 30 years after", MATCH Communications in Mathematical and in Computer Chemistry, 50, pp.83~92 (2004)
  6. M.H.Khalifeh, "The first and second Zagreb indices of some graph operations", Discrete Applied Mathematics, 157, pp.804~811 (2009)
  7. 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)
  8. Ranjini P. S, "New bounds on Zagreb indices and the Zagreb co-indices", Boletim da Sociedade Paranaense de Matematica, 31(1), pp.51~55 (2013)
  9. P. S. Ranjini, "On the Shultz index of the subdivision graphs", Advanced Studies in Contemporary Mathematics, 21(3), pp.279~290 (2011), 장전수학회
  10. P. Sakar, "The Zagreb indices of graphs based on new operations realeted to the join of graphs", Journal of the International Mathematical Virtual Institute, 7, pp.181~209 (2017)
  11. E. Sampathkumar, "Semitotal graphs of a graph-Ⅰ", Journal Kar-natak University Science, 18, pp.274~280 (1973)
  12. Shwetha B. Shetty, "Computing ABC, GA, Randic and Zagreb Indices", Enlightment of Pure and Applied Mathematics, 1(1), pp.17~18 (2015)

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