Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지
DOI QR코드

DOI QR Code

INVESTIGATION OF BOUNDS FOR 𝕽 GRAPH VIA TOPOLOGICAL INDICES

  • GIRISHA. A (Department of Mathematics, Acharya Institute of Technology) ;
  • VENUGOPAL. G (Department of Mathematics, Vemana Institute of Technology, Research Scholar at the Research Centre, Department of Mathematics(VTU-RC), SJB Institute of Technology) ;
  • KAVITA PERMI (Department of Mathematics, Presidency University)
  • Received : 2023.08.28
  • Accepted : 2024.05.22
  • Published : 2024.07.30
Download PDF
⟨ Previous Next ⟩

Abstract

Topoloical index is a numerical quantity which is correlates to properties of chemical compound . In this paper, we define operator graph namely, Edge ss-corona graph and we study structured properties of that graph. Also, establish the upper and lower bounds for First Zagreb index, Second Zagreb index, First Gourava index, SK1 index, Forgotten topological index and EM1 index of edge SS-corona graph.

Keywords

References

  1. B. Furtula and I. Gutman, Forgotten topological index, Journal of Mathematical Chemistry 53 (2015), 1184-1190.  https://doi.org/10.1007/s10910-015-0480-z
  2. I. Gutman and N. Trinajstic, Graph theory and molecular obitals. Total π-electron energy of alternate hydrocarbons, Chemical Physics Letters 17 (1972), 535-538.  https://doi.org/10.1016/0009-2614(72)85099-1
  3. V.R. Kulli, V. Lokesha, Sushmitha Jain and M. Manjunath, The Gourava index of four operations on Graphs, International Journal of Mathematical Combinatorics 4 (2018), 65-76. 
  4. V. Lokesha, K. Zeba Yasmeen and M. Manjunath, Investigation on splice graphs by exploting certain topological indices, Proceeding of the jangjeon Mathematical Society 23 (2020), 271-282. 
  5. V. Lokesha, Sushmitha Jain, M. Manjunath, Suha wazzan and A.S. Cevik, Bounds for the sum of cubes of vertex degrees of splice graphs, TWMS J. App. Eng. Math. 10 (2020), 741-750. 
  6. V. Lokesha, K. Zeba Yasmeen, M. Manjunath and M. Venkatachalam, Lower and Upper bounds of SK indices of F-join of graphs, International Journal of Open Problems Compt. Math. 13 (2020), 13-25. 
  7. M. Manjunath, V. Lokesha, Suvarna and Sushmitha Jain, Bounds for the Topological indices of P-graph, European Journal of Pure and Applied Mathematics 14 (2021), 340-350  https://doi.org/10.29020/nybg.ejpam.v14i2.3715
  8. A. Milicevic, S. Nikolic, and N. Trinajstic, On reformulated Zagreb indices, Molecular Divers 8 (2004), 393-399.  https://doi.org/10.1023/B:MODI.0000047504.14261.2a
  9. Shengjin Ji, Mengmeng Liu and Jianliang Wu, A lower bound of revised Szeged index of bicyclic graphs, Applied Mathematics and Computation 316 (2018), 480-487.  https://doi.org/10.1016/j.amc.2017.08.051
  10. V.S. Shigehalli and R. Kanabur , Computation of new degree-based Topological indices of graphene, Journal of Mathematics 1 (2016), 1-6. https://doi.org/10.3934/Math.2016.1.1