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Distance Version of Forgotten Topological Index of Some Graph Products

Received: 27 June 2022     Accepted: 18 July 2022     Published: 23 March 2023
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Abstract

In this paper, we have been found the exact values of distance version of Forgotten Topological index of various types of products such as strong, corona and tensor products of simple and connected graphs. Also we have been calculate the exact values of distance version of Forgotten Topological index of tensor product of path, cycle and complete graphs.

Published in Applied and Computational Mathematics (Volume 12, Issue 1)
DOI 10.11648/j.acm.20231201.13
Page(s) 15-25
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2023. Published by Science Publishing Group

Keywords

Topological Indices, Strong Product, Corona Product and Tensor Product

References
[1] A. A. Dobrynin and A. A. Kochetova (1994). Degree distance of a graph: A degree analogue of the Wiener index, J. Chem. Inf. Comput. Sci. 34: 1082-1086.
[2] M. Essalih, M. E. Marraki, G. E. Hagri (2011). Calculation of some Topological indices of graphs, J. Theoretial Appl. Inf. Tech. 30 (2): 122-127.
[3] R. Frucht and F. Harary, (1970). On the Corona of two graphs, A equations Math., 4: 322-325.
[4] B. Furtual, I. Gutman, (2015). A forgotten topological index, J. Math. Chem., 53 (4): 1184-1190.
[5] I. Gutman, (1994). Selected properties of the Schultz molecular topological index, J. Chem. Inf. Comput. Sci. 34: 1087-1089.
[6] I. Gutman and N. Trinajstic, (1972). Graph theory and molecular orbitals. Total φ-electron energy of alternant hydrocarbons, Chem. Phys. Lett. 17: 535-538.
[7] M. H. Khalifeh, H. Yousefi-Azari and A. R. Ashrafi, (2009). The first and second Zagreb indices of some graph operations, Discrete Appl. Math. 157 (4): 804- 811.
[8] R. Muruganandam, R. S. Manikandan and M. Aruvi, (2017) Distance based of F- index of some graph operations International Journal of Applied Graph Theory, 1 (2): 01-29.
[9] Nilanjan De, SK. MD. Abu Nayeem, and Anita Pal, F- index of some graph operations,Discrete Math. algorithm Appl. doi: 10.1142/S1793830916500257.
[10] K. Pattabiraman and P. Paulraja, (2012). On some topological indices of the tensor products of graphs, Discrete Appl. Math. 160: 267-279.
[11] K. Pattabiraman, S. Nagarajan and M. Chandrasekharan, (2015). Zagreb indices and coindices of product graphs, Journal of Prime Research in Mathematics, Vol. 10: 80- 91.
[12] B. E. Sagan, Y. N. Yeh and P. Zhang, (1996) The Wiener polynomial of a graph, Int. J. Quantum Chem. 60: 959- 969.
[13] V. Sheeba agnes,Degree distance and Gutman index of corona product of graphs,(2015). Transaction on combinatorics, 4 (3): 11-23.
[14] I. Tomescu, (1999). Some extremal properties of the degree distance of a graph, Discrete Appl. Math. 98 (1- 2): 159-163.
[15] N. Trinajstic, (1983). Chemical Graph Theory (CRC Press, Boca Raton, FL).
[16] H. Wiener, (1947). Structural determination of the paraffin boiling points, J. Amer. Chem. Soc. 69: 17-20.
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  • APA Style

    Aruvi Mathivanan, Maria Joseph. (2023). Distance Version of Forgotten Topological Index of Some Graph Products. Applied and Computational Mathematics, 12(1), 15-25. https://doi.org/10.11648/j.acm.20231201.13

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    ACS Style

    Aruvi Mathivanan; Maria Joseph. Distance Version of Forgotten Topological Index of Some Graph Products. Appl. Comput. Math. 2023, 12(1), 15-25. doi: 10.11648/j.acm.20231201.13

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    AMA Style

    Aruvi Mathivanan, Maria Joseph. Distance Version of Forgotten Topological Index of Some Graph Products. Appl Comput Math. 2023;12(1):15-25. doi: 10.11648/j.acm.20231201.13

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  • @article{10.11648/j.acm.20231201.13,
      author = {Aruvi Mathivanan and Maria Joseph},
      title = {Distance Version of Forgotten Topological Index of Some Graph Products},
      journal = {Applied and Computational Mathematics},
      volume = {12},
      number = {1},
      pages = {15-25},
      doi = {10.11648/j.acm.20231201.13},
      url = {https://doi.org/10.11648/j.acm.20231201.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.acm.20231201.13},
      abstract = {In this paper, we have been found the exact values of distance version of Forgotten Topological index of various types of products such as strong, corona and tensor products of simple and connected graphs. Also we have been calculate the exact values of distance version of Forgotten Topological index of tensor product of path, cycle and complete graphs.},
     year = {2023}
    }
    

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    T2  - Applied and Computational Mathematics
    JF  - Applied and Computational Mathematics
    JO  - Applied and Computational Mathematics
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    AB  - In this paper, we have been found the exact values of distance version of Forgotten Topological index of various types of products such as strong, corona and tensor products of simple and connected graphs. Also we have been calculate the exact values of distance version of Forgotten Topological index of tensor product of path, cycle and complete graphs.
    VL  - 12
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Author Information
  • Department of Mathematics, Anna University, Tiruchirappalli, India

  • Department of Mathematics, Anna University, Tiruchirappalli, India

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