Harmonic Index and Zagreb Indices of Vertex-Semitotal Graphs

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v13i5.3725

Keywords:

topological index, molecular graph, Zagreb index, harmonic index, vertex-semitotal graph, derived graph

Abstract

Graph theory is one of the rising areas in mathematics due to its applications in many areas of science. Amongst several study areas in graph theory, spectral graph theory and topological descriptors are in front rows. These descriptors are widely used in QSPR/QSAR studies in mathematical chemistry. Vertex-semitotal graphs are one of the derived graph classes which are useful in calculating several physico-chemical properties of molecular structures by means of molecular graphs modelling the molecules. In this paper, several topological descriptors of vertex-semitotal graphs are calculated. Some new relations on these values are obtained by means of a recently defined graph invariant called omega invariant.

Author Biographies

  • Musa Demirci, Bursa Uludag University
    Mathematics
  • Ismail Naci Cangul, Bursa Uludag University
    Mathematics, Researcher

Downloads

Published

2020-12-27

Issue

Vol. 13 No. 5 (2020): Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

Section

Special Issue Dedicated to Professor Hari M. Srivastava on the Occasion of his 80th Birthday

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

How to Cite

Harmonic Index and Zagreb Indices of Vertex-Semitotal Graphs. (2020). European Journal of Pure and Applied Mathematics, 13(5), 1260-1269. https://doi.org/10.29020/nybg.ejpam.v13i5.3725