Computing Topological Indices and Polynomials for Line Graphs
A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2018-08-01
|
| Series: | Mathematics |
| Subjects: | |
| Online Access: | http://www.mdpi.com/2227-7390/6/8/137 |
| _version_ | 1819056923052343296 |
|---|---|
| author | Shahid Imran Muhammad Kamran Siddiqui Muhammad Imran Muhammad Faisal Nadeem |
| author_facet | Shahid Imran Muhammad Kamran Siddiqui Muhammad Imran Muhammad Faisal Nadeem |
| author_sort | Shahid Imran |
| collection | DOAJ |
| description | A topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision. |
| first_indexed | 2024-12-21T13:31:07Z |
| format | Article |
| id | doaj.art-82ab77b968f743b28137ec5db37e144c |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-21T13:31:07Z |
| publishDate | 2018-08-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-82ab77b968f743b28137ec5db37e144c2022-12-21T19:02:17ZengMDPI AGMathematics2227-73902018-08-016813710.3390/math6080137math6080137Computing Topological Indices and Polynomials for Line GraphsShahid Imran0Muhammad Kamran Siddiqui1Muhammad Imran2Muhammad Faisal Nadeem3Govt Khawaja Rafique Shaheed College, Lahore 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Sahiwal Campus, Sahiwal 57000, PakistanDepartment of Mathematical Sciences, United Arab Emirates University, P. O. Box 15551, Al Ain, UAEDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanA topological index is a number related to the atomic index that allows quantitative structure–action/property/toxicity connections. All the more vital topological indices correspond to certain physico-concoction properties like breaking point, solidness, strain vitality, and so forth, of synthetic mixes. The idea of the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials was set up in the substance diagram hypothesis in light of vertex degrees. These indices are valuable in the investigation of calming exercises of certain compound systems. In this paper, we computed the first and second Zagreb index, the hyper Zagreb index, multiple Zagreb indices and Zagreb polynomials of the line graph of wheel and ladder graphs by utilizing the idea of subdivision.http://www.mdpi.com/2227-7390/6/8/137hyper Zagreb indexfirst and second Zagreb indexmultiple Zagreb indicesZagreb polynomialsline graphsubdivision graphtadpolewheelladder |
| spellingShingle | Shahid Imran Muhammad Kamran Siddiqui Muhammad Imran Muhammad Faisal Nadeem Computing Topological Indices and Polynomials for Line Graphs Mathematics hyper Zagreb index first and second Zagreb index multiple Zagreb indices Zagreb polynomials line graph subdivision graph tadpole wheel ladder |
| title | Computing Topological Indices and Polynomials for Line Graphs |
| title_full | Computing Topological Indices and Polynomials for Line Graphs |
| title_fullStr | Computing Topological Indices and Polynomials for Line Graphs |
| title_full_unstemmed | Computing Topological Indices and Polynomials for Line Graphs |
| title_short | Computing Topological Indices and Polynomials for Line Graphs |
| title_sort | computing topological indices and polynomials for line graphs |
| topic | hyper Zagreb index first and second Zagreb index multiple Zagreb indices Zagreb polynomials line graph subdivision graph tadpole wheel ladder |
| url | http://www.mdpi.com/2227-7390/6/8/137 |
| work_keys_str_mv | AT shahidimran computingtopologicalindicesandpolynomialsforlinegraphs AT muhammadkamransiddiqui computingtopologicalindicesandpolynomialsforlinegraphs AT muhammadimran computingtopologicalindicesandpolynomialsforlinegraphs AT muhammadfaisalnadeem computingtopologicalindicesandpolynomialsforlinegraphs |