Reformulated Zagreb Indices of Some Derived Graphs
A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees....
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| Format: | Article |
| Language: | English |
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MDPI AG
2019-04-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/4/366 |
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| author | Jia-Bao Liu Bahadur Ali Muhammad Aslam Malik Hafiz Muhammad Afzal Siddiqui Muhammad Imran |
| author_facet | Jia-Bao Liu Bahadur Ali Muhammad Aslam Malik Hafiz Muhammad Afzal Siddiqui Muhammad Imran |
| author_sort | Jia-Bao Liu |
| collection | DOAJ |
| description | A topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph. |
| first_indexed | 2024-12-12T09:44:24Z |
| format | Article |
| id | doaj.art-b47a8eb728cc4468929e56531a74d299 |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-12T09:44:24Z |
| publishDate | 2019-04-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-b47a8eb728cc4468929e56531a74d2992022-12-22T00:28:27ZengMDPI AGMathematics2227-73902019-04-017436610.3390/math7040366math7040366Reformulated Zagreb Indices of Some Derived GraphsJia-Bao Liu0Bahadur Ali1Muhammad Aslam Malik2Hafiz Muhammad Afzal Siddiqui3Muhammad Imran4School of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaDepartment of Mathematics, University of the Punjab, Lahore 54000, PakistanDepartment of Mathematics, University of the Punjab, Lahore 54000, PakistanDepartment of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, PakistanSchool of Natural Sciences, National University of Sciences and Technology, Islamabad H-12, PakistanA topological index is a numeric quantity that is closely related to the chemical constitution to establish the correlation of its chemical structure with chemical reactivity or physical properties. Miličević reformulated the original Zagreb indices in 2004, replacing vertex degrees by edge degrees. In this paper, we established the expressions for the reformulated Zagreb indices of some derived graphs such as a complement, line graph, subdivision graph, edge-semitotal graph, vertex-semitotal graph, total graph, and paraline graph of a graph.https://www.mdpi.com/2227-7390/7/4/366Zagreb indicesreformulated Zagreb indicesdegree of vertexdegree of edge |
| spellingShingle | Jia-Bao Liu Bahadur Ali Muhammad Aslam Malik Hafiz Muhammad Afzal Siddiqui Muhammad Imran Reformulated Zagreb Indices of Some Derived Graphs Mathematics Zagreb indices reformulated Zagreb indices degree of vertex degree of edge |
| title | Reformulated Zagreb Indices of Some Derived Graphs |
| title_full | Reformulated Zagreb Indices of Some Derived Graphs |
| title_fullStr | Reformulated Zagreb Indices of Some Derived Graphs |
| title_full_unstemmed | Reformulated Zagreb Indices of Some Derived Graphs |
| title_short | Reformulated Zagreb Indices of Some Derived Graphs |
| title_sort | reformulated zagreb indices of some derived graphs |
| topic | Zagreb indices reformulated Zagreb indices degree of vertex degree of edge |
| url | https://www.mdpi.com/2227-7390/7/4/366 |
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