Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks
A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, an...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2016-12-01
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| Series: | Symmetry |
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| Online Access: | http://www.mdpi.com/2073-8994/9/1/5 |
| _version_ | 1798039453669785600 |
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| author | Muhammad Ajmal Waqas Nazeer Mobeen Munir Shin Min Kang Young Chel Kwun |
| author_facet | Muhammad Ajmal Waqas Nazeer Mobeen Munir Shin Min Kang Young Chel Kwun |
| author_sort | Muhammad Ajmal |
| collection | DOAJ |
| description | A topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, and forgotten polynomials of generalized prism and toroidal polyhex networks. We also compute hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and forgotten index of these networks. Moreover we gave graphical representation of our results, showing the technical dependence of each topological index and polynomial on the involved structural parameters. |
| first_indexed | 2024-04-11T21:54:05Z |
| format | Article |
| id | doaj.art-70ca077ad52244bb94169ea2a7f26205 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-04-11T21:54:05Z |
| publishDate | 2016-12-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-70ca077ad52244bb94169ea2a7f262052022-12-22T04:01:10ZengMDPI AGSymmetry2073-89942016-12-0191510.3390/sym9010005sym9010005Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex NetworksMuhammad Ajmal0Waqas Nazeer1Mobeen Munir2Shin Min Kang3Young Chel Kwun4Department of Mathematics, Government Muhammdan Anglo Orintal College, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDivision of Science and Technology, University of Education, Lahore 54000, PakistanDepartment of Mathematics and Research Institute of Natural Science, Gyeongsang National University, Jinju 52828, KoreaDepartment of Mathematics, Dong-A University, Busan 49315, KoreaA topological index of graph G is a numerical parameter related to G, which characterizes its topology and is preserved under isomorphism of graphs. Properties of the chemical compounds and topological indices are correlated. In this report, we compute closed forms of first Zagreb, second Zagreb, and forgotten polynomials of generalized prism and toroidal polyhex networks. We also compute hyper-Zagreb index, first multiple Zagreb index, second multiple Zagreb index, and forgotten index of these networks. Moreover we gave graphical representation of our results, showing the technical dependence of each topological index and polynomial on the involved structural parameters.http://www.mdpi.com/2073-8994/9/1/5forgotten polynomialZagreb polynomialtopological indexnetwork |
| spellingShingle | Muhammad Ajmal Waqas Nazeer Mobeen Munir Shin Min Kang Young Chel Kwun Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks Symmetry forgotten polynomial Zagreb polynomial topological index network |
| title | Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks |
| title_full | Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks |
| title_fullStr | Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks |
| title_full_unstemmed | Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks |
| title_short | Some Algebraic Polynomials and Topological Indices of Generalized Prism and Toroidal Polyhex Networks |
| title_sort | some algebraic polynomials and topological indices of generalized prism and toroidal polyhex networks |
| topic | forgotten polynomial Zagreb polynomial topological index network |
| url | http://www.mdpi.com/2073-8994/9/1/5 |
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