On the Reformulated Second Zagreb Index of Graph Operations
Topological indices (TIs) are expressed by constant real numbers that reveal the structure of the graphs in QSAR/QSPR investigation. The reformulated second Zagreb index (RSZI) is such a novel TI having good correlations with various physical attributes, chemical reactivities, or biological activiti...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Chemistry |
| Online Access: | http://dx.doi.org/10.1155/2021/9289534 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849467377939382272 |
|---|---|
| author | Durbar Maji Ganesh Ghorai Yaé Ulrich Gaba |
| author_facet | Durbar Maji Ganesh Ghorai Yaé Ulrich Gaba |
| author_sort | Durbar Maji |
| collection | DOAJ |
| description | Topological indices (TIs) are expressed by constant real numbers that reveal the structure of the graphs in QSAR/QSPR investigation. The reformulated second Zagreb index (RSZI) is such a novel TI having good correlations with various physical attributes, chemical reactivities, or biological activities/properties. The RSZI is defined as the sum of products of edge degrees of the adjacent edges, where the edge degree of an edge is taken to be the sum of vertex degrees of two end vertices of that edge with minus 2. In this study, the behaviour of RSZI under graph operations containing Cartesian product, join, composition, and corona product of two graphs has been established. We have also applied these results to compute RSZI for some important classes of molecular graphs and nanostructures. |
| format | Article |
| id | doaj-art-dcd96818fefd4b2891582253971d8cab |
| institution | Kabale University |
| issn | 2090-9071 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Chemistry |
| spelling | doaj-art-dcd96818fefd4b2891582253971d8cab2025-08-20T03:26:15ZengWileyJournal of Chemistry2090-90712021-01-01202110.1155/2021/9289534On the Reformulated Second Zagreb Index of Graph OperationsDurbar Maji0Ganesh Ghorai1Yaé Ulrich Gaba2Department of Applied Mathematics with Oceanology and Computer ProgrammingDepartment of Applied Mathematics with Oceanology and Computer ProgrammingQuantum Leap Africa (QLA)Topological indices (TIs) are expressed by constant real numbers that reveal the structure of the graphs in QSAR/QSPR investigation. The reformulated second Zagreb index (RSZI) is such a novel TI having good correlations with various physical attributes, chemical reactivities, or biological activities/properties. The RSZI is defined as the sum of products of edge degrees of the adjacent edges, where the edge degree of an edge is taken to be the sum of vertex degrees of two end vertices of that edge with minus 2. In this study, the behaviour of RSZI under graph operations containing Cartesian product, join, composition, and corona product of two graphs has been established. We have also applied these results to compute RSZI for some important classes of molecular graphs and nanostructures.http://dx.doi.org/10.1155/2021/9289534 |
| spellingShingle | Durbar Maji Ganesh Ghorai Yaé Ulrich Gaba On the Reformulated Second Zagreb Index of Graph Operations Journal of Chemistry |
| title | On the Reformulated Second Zagreb Index of Graph Operations |
| title_full | On the Reformulated Second Zagreb Index of Graph Operations |
| title_fullStr | On the Reformulated Second Zagreb Index of Graph Operations |
| title_full_unstemmed | On the Reformulated Second Zagreb Index of Graph Operations |
| title_short | On the Reformulated Second Zagreb Index of Graph Operations |
| title_sort | on the reformulated second zagreb index of graph operations |
| url | http://dx.doi.org/10.1155/2021/9289534 |
| work_keys_str_mv | AT durbarmaji onthereformulatedsecondzagrebindexofgraphoperations AT ganeshghorai onthereformulatedsecondzagrebindexofgraphoperations AT yaeulrichgaba onthereformulatedsecondzagrebindexofgraphoperations |