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S-Corona operations of standard graphs in terms of degree sequences

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Let G and H be two graphs with vertices n1 and n2 and edges e1 and e2 respectively. The corona of graphs G and H with disjoint vertex sets V (G) and V (H) and edge sets E(G) and E(H) is obtained by taking one copy of G and jV (G)j copies of H, by joining the ith vertex of V (G) to each vertex in the ith copy of H. The degree sequence (DS) of a graph is the set of vertex degrees. In this article, we determine the (DS) of S- vertex (edge) corona and S- edge neighbourhood corona operation of standard graphs.

Abstract

Let G and H be two graphs with vertices n1 and n2 and edges e1 and e2 respectively. The corona of graphs G and H with disjoint vertex sets V (G) and V (H) and edge sets E(G) and E(H) is obtained by taking one copy of G and jV (G)j copies of H, by joining the ith vertex of V (G) to each vertex in the ith copy of H. The degree sequence (DS) of a graph is the set of vertex degrees. In this article, we determine the (DS) of S- vertex (edge) corona and S- edge neighbourhood corona operation of standard graphs.

참고문헌 (9)

  1. N. Ananda, "Degree sequence of graph operator for some standard graphs", Applied Mathematics and Nonlinear Sciences
  2. A.R. Bindusree, "Zagreb polynomials of three graph operators", Filomat, 30(7), pp.1979~1986 (2016)
  3. B. Bollobas, "Degree Sequences of Random Graphs", Discrete Mathematics, 33, pp.1~19 (1981)
  4. Chandrashekar Adiga, "Spectra of graph operations based on corona and neighborhood corona of graph G and K1", Journal of the international mathematical virtual institute, 5(1), pp.55~69 (2015)
  5. C. K. Gupta, "Graph Operations on Symmetric Division Deg Index of Graphs", Palestine Journal of Mathematics, 6(1), pp.280~286 (2017)
  6. V. Lokesha, "COMPUTATION OF ADRIATIC INDICES OF CERTAIN OPERATORS OF REGULAR AND COMPLETE BIPARTITE GRAPHS", Advanced Studies in Contemporary Mathematics, 28(2), pp.231~244 (2018), 장전수학회[DOI]
  7. B. S. Shwetha, "Computing some topological indices of smart polymer", Digest Journal of Nanomaterials and Biostructures, 7(3), pp.1097~1102 (2012)
  8. R. I. Tyshkevich, "On graphs and degree sequences: Canonical decomposition", Kibernetika, 6(1), pp.05~08 (1981)
  9. Vishnu Narayan Mishra, "Degree sequences of join and corona products of graphs", Electronic Journal of Mathematical Analysis and Applications, 7(1), pp.5~13 (2019)

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