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Hosaya Polynomial and Weiner Index of Abid-Waheed Graph

Received: 17 August 2022     Accepted: 14 September 2022     Published: 27 September 2022
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Abstract

Graph theory is an area of mathematics and computer science that deals with graphs, or diagrams containing points and lines that represent mathematical truths pictorially. It has a broad scope of applications. The use of graph theory has exponentially increased. It is effective to understand the flow of computation, networks of communication, data organization, and Google maps in computers. Graphs have great importance in electrical engineering (design of electrical connections), linguistics (parsing of language trees, grammar of a language tree, phonology, and morphology), chemistry, physics, mathematics, and biology. Graph theory plays an important role in the development of theoretical chemistry. A special type of graph invariant called a topological index is a real number associated with the structure of a connected graph. In this paper, we calculate the Wiener index (WI) and Hosoya polynomial of newly defined “Abid Waheed graph ”.

Published in Applied and Computational Mathematics (Volume 11, Issue 4)
DOI 10.11648/j.ijebo.20221003.13
Page(s) 89-94
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), 2022. Published by Science Publishing Group

Keywords

Graph Theory, Topological Index, Distance, Hosoya Polynomial, Weiner Index, Abid-Waheed Graph

References
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  • APA Style

    Abid Mahboob, Muhammad Waheed Rasheed. (2022). Hosaya Polynomial and Weiner Index of Abid-Waheed Graph . Applied and Computational Mathematics, 11(4), 89-94. https://doi.org/10.11648/j.ijebo.20221003.13

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    ACS Style

    Abid Mahboob; Muhammad Waheed Rasheed. Hosaya Polynomial and Weiner Index of Abid-Waheed Graph . Appl. Comput. Math. 2022, 11(4), 89-94. doi: 10.11648/j.ijebo.20221003.13

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    AMA Style

    Abid Mahboob, Muhammad Waheed Rasheed. Hosaya Polynomial and Weiner Index of Abid-Waheed Graph . Appl Comput Math. 2022;11(4):89-94. doi: 10.11648/j.ijebo.20221003.13

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  • @article{10.11648/j.ijebo.20221003.13,
      author = {Abid Mahboob and Muhammad Waheed Rasheed},
      title = {Hosaya Polynomial and Weiner Index of Abid-Waheed Graph },
      journal = {Applied and Computational Mathematics},
      volume = {11},
      number = {4},
      pages = {89-94},
      doi = {10.11648/j.ijebo.20221003.13},
      url = {https://doi.org/10.11648/j.ijebo.20221003.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijebo.20221003.13},
      abstract = {Graph theory is an area of mathematics and computer science that deals with graphs, or diagrams containing points and lines that represent mathematical truths pictorially. It has a broad scope of applications. The use of graph theory has exponentially increased. It is effective to understand the flow of computation, networks of communication, data organization, and Google maps in computers. Graphs have great importance in electrical engineering (design of electrical connections), linguistics (parsing of language trees, grammar of a language tree, phonology, and morphology), chemistry, physics, mathematics, and biology. Graph theory plays an important role in the development of theoretical chemistry. A special type of graph invariant called a topological index is a real number associated with the structure of a connected graph. In this paper, we calculate the Wiener index (WI) and Hosoya polynomial of newly defined “Abid Waheed graph ”.},
     year = {2022}
    }
    

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  • TY  - JOUR
    T1  - Hosaya Polynomial and Weiner Index of Abid-Waheed Graph 
    AU  - Abid Mahboob
    AU  - Muhammad Waheed Rasheed
    Y1  - 2022/09/27
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    DO  - 10.11648/j.ijebo.20221003.13
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    JF  - Applied and Computational Mathematics
    JO  - Applied and Computational Mathematics
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    EP  - 94
    PB  - Science Publishing Group
    SN  - 2328-5613
    UR  - https://doi.org/10.11648/j.ijebo.20221003.13
    AB  - Graph theory is an area of mathematics and computer science that deals with graphs, or diagrams containing points and lines that represent mathematical truths pictorially. It has a broad scope of applications. The use of graph theory has exponentially increased. It is effective to understand the flow of computation, networks of communication, data organization, and Google maps in computers. Graphs have great importance in electrical engineering (design of electrical connections), linguistics (parsing of language trees, grammar of a language tree, phonology, and morphology), chemistry, physics, mathematics, and biology. Graph theory plays an important role in the development of theoretical chemistry. A special type of graph invariant called a topological index is a real number associated with the structure of a connected graph. In this paper, we calculate the Wiener index (WI) and Hosoya polynomial of newly defined “Abid Waheed graph ”.
    VL  - 11
    IS  - 4
    ER  - 

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Author Information
  • Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan

  • Department of Mathematics, University of Education Lahore, Vehari Campus, Pakistan

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