M-Polynomials and Topological Indices for Line Graphs of Chain Silicate Network and H-Naphtalenic Nanotubes
Graph theory has provided a very useful tool, called topological index, which is a number from the graph M with the property that every graph N isomorphic to M value of a topological index must be same for both M and N. Topological index is a descriptor in graph theory which is used to quantify the...
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| Published in | Journal of mathematics (Hidawi) Vol. 2021; pp. 1 - 11 |
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| Main Authors | , , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cairo
Hindawi
2021
John Wiley & Sons, Inc Wiley |
| Subjects | |
| Online Access | Get full text |
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| Abstract | Graph theory has provided a very useful tool, called topological index, which is a number from the graph M with the property that every graph N isomorphic to M value of a topological index must be same for both M and N. Topological index is a descriptor in graph theory which is used to quantify the physio-chemical properties of the chemical graph. In this paper, we computed closed forms of M-polynomials for line graphs of H-naphtalenic nanotubes and chain silicate network. From M-polynomial, we obtained some topological indices based on degrees. |
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| AbstractList | Graph theory has provided a very useful tool, called topological index, which is a number from the graph M with the property that every graph N isomorphic to M value of a topological index must be same for both M and N. Topological index is a descriptor in graph theory which is used to quantify the physio-chemical properties of the chemical graph. In this paper, we computed closed forms of M-polynomials for line graphs of H-naphtalenic nanotubes and chain silicate network. From M-polynomial, we obtained some topological indices based on degrees. |
| Author | Rasheed, Saffina Irfan, Muhammad Almusawa, Hassan Rehman, Hamood Ur Baloch, Imran Abbas |
| Author_xml | – sequence: 1 givenname: Muhammad orcidid: 0000-0001-7833-8261 surname: Irfan fullname: Irfan, Muhammad organization: Department of MathematicsUniversity of OkaraOkaraPakistanuo.edu.pk – sequence: 2 givenname: Hamood Ur surname: Rehman fullname: Rehman, Hamood Ur organization: Department of MathematicsUniversity of OkaraOkaraPakistanuo.edu.pk – sequence: 3 givenname: Hassan orcidid: 0000-0001-5024-866X surname: Almusawa fullname: Almusawa, Hassan organization: Department of MathematicsCollege of SciencesJazan UniversityJazan 45142Saudi Arabiajazanu.edu.sa – sequence: 4 givenname: Saffina surname: Rasheed fullname: Rasheed, Saffina organization: Department of MathematicsUniversity of OkaraOkaraPakistanuo.edu.pk – sequence: 5 givenname: Imran Abbas orcidid: 0000-0001-8941-2527 surname: Baloch fullname: Baloch, Imran Abbas organization: Abdus Salam School of Mathematical SciencesGovernment College UniversityLahorePakistangcu.edu.pk |
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| Cites_doi | 10.32604/cmc.2020.011736 10.1007/s10910-010-9677-3 10.3390/sym8120149 10.1021/ci980039b 10.3390/sym8090097 10.1016/s0097-8485(02)00016-5 10.1038/s41598-017-08309-y 10.32604/csse.2021.014896 10.1139/cjc-2016-0486 10.1109/access.2020.3039298 10.3390/ijms9030229 10.1021/ja00856a001 |
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| Copyright | Copyright © 2021 Muhammad Irfan et al. Copyright © 2021 Muhammad Irfan et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
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| Title | M-Polynomials and Topological Indices for Line Graphs of Chain Silicate Network and H-Naphtalenic Nanotubes |
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