Hosaya Polynomial and Weiner Index of Abid-Waheed Graph <img width="60" height="20" src="http://article.sciencepublishinggroup.com/journal/147/1471623/image001.png" />

Abid Mahboob; Muhammad Waheed Rasheed

doi:doi:10.11648/j.ijebo.20221003.13

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Hosaya Polynomial and Weiner Index of Abid-Waheed Graph

Abid Mahboob, Muhammad Waheed Rasheed

Published in Applied and Computational Mathematics (Volume 11, Issue 4)

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), 2024. 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
PY  - 2022
N1  - https://doi.org/10.11648/j.ijebo.20221003.13
DO  - 10.11648/j.ijebo.20221003.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 89
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

Abid Mahboob

Department of Mathematics, Division of Science and Technology, University of Education, Lahore, Pakistan
Muhammad Waheed Rasheed

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

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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

Copy | Download

@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}
}

Copy | Download

TY  - JOUR
T1  - Hosaya Polynomial and Weiner Index of Abid-Waheed Graph 
AU  - Abid Mahboob
AU  - Muhammad Waheed Rasheed
Y1  - 2022/09/27
PY  - 2022
N1  - https://doi.org/10.11648/j.ijebo.20221003.13
DO  - 10.11648/j.ijebo.20221003.13
T2  - Applied and Computational Mathematics
JF  - Applied and Computational Mathematics
JO  - Applied and Computational Mathematics
SP  - 89
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  -

Copy | Download