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Transmission in H-naphtalenic nanosheet

Author

Listed:
  • Sharon, Jane Olive
  • Rajalaxmi, T.M.
  • Klavžar, Sandi
  • Rajan, R. Sundara
  • Rajasingh, Indra

Abstract

In network analysis, centrality measures identify the most important vertices within a graph. In a connected graph, the transmission of a vertex u is the sum of the lengths of the shortest paths between the node and all other nodes in the graph. In this paper, we discuss a method to uniquely identify a vertex in a plane nanosheet. Using this approach, we compute the transmission of every vertex in H-naphtalenic nanosheets.

Suggested Citation

  • Sharon, Jane Olive & Rajalaxmi, T.M. & Klavžar, Sandi & Rajan, R. Sundara & Rajasingh, Indra, 2021. "Transmission in H-naphtalenic nanosheet," Applied Mathematics and Computation, Elsevier, vol. 406(C).
    • Handle: RePEc:eee:apmaco:v:406:y:2021:i:c:s009630032100374x
    DOI: 10.1016/j.amc.2021.126285
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    References listed on IDEAS

    as
    1. Al-Yakoob, Salem & Stevanović, Dragan, 2020. "On transmission irregular starlike trees," Applied Mathematics and Computation, Elsevier, vol. 380(C).
    2. Črepnjak, Matevž & Tratnik, Niko, 2017. "The Szeged index and the Wiener index of partial cubes with applications to chemical graphs," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 324-333.
    3. Alizadeh, Yaser & Klavžar, Sandi, 2018. "On graphs whose Wiener complexity equals their order and on Wiener index of asymmetric graphs," Applied Mathematics and Computation, Elsevier, vol. 328(C), pages 113-118.
    4. Klavžar, Sandi & Azubha Jemilet, D. & Rajasingh, Indra & Manuel, Paul & Parthiban, N., 2018. "General Transmission Lemma and Wiener complexity of triangular grids," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 115-122.
    5. Bezhaev, Anatoly Yu. & Dobrynin, Andrey A., 2021. "On quartic transmission irregular graphs," Applied Mathematics and Computation, Elsevier, vol. 399(C).
    6. Dobrynin, Andrey A. & Sharafdini, Reza, 2020. "Stepwise transmission irregular graphs," Applied Mathematics and Computation, Elsevier, vol. 371(C).
    Full references (including those not matched with items on IDEAS)

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