Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations
Abstract: Topological indices are useful in QSAR/QSPR studies for modeling biological and physiochemical properties of molecules. The neighborhood Zagreb index (M N ) is a novel topological index having good correlations with some physiochemical properties. For a simple connected graph G, the neigh...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200004007992020-08-13Bounds for neighborhood Zagreb index and its explicit expressions under some graph operationsMondal,SouravAli,Muhammad ArfanDe,NilanjanPal,Anita Topological index First Zagreb index Second Zagreb index Neighbouhood Zagreb index Graph operations Abstract: Topological indices are useful in QSAR/QSPR studies for modeling biological and physiochemical properties of molecules. The neighborhood Zagreb index (M N ) is a novel topological index having good correlations with some physiochemical properties. For a simple connected graph G, the neighborhood Zagreb index is the totality of square of δ G (v) over the vertex set, where δ G (v) is the total count of degrees of all neighbors of v in G. In this report, some bounds are established for the neighborhood Zagreb index. Some explicit expressions of the index for some graph operations are also computed, which are used to obtain the index for some chemically significant molecular graphs.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.39 n.4 20202020-08-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400799en10.22199/issn.0717-6279-2020-04-0050 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| topic |
Topological index First Zagreb index Second Zagreb index Neighbouhood Zagreb index Graph operations |
| spellingShingle |
Topological index First Zagreb index Second Zagreb index Neighbouhood Zagreb index Graph operations Mondal,Sourav Ali,Muhammad Arfan De,Nilanjan Pal,Anita Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| description |
Abstract: Topological indices are useful in QSAR/QSPR studies for modeling biological and physiochemical properties of molecules. The neighborhood Zagreb index (M N ) is a novel topological index having good correlations with some physiochemical properties. For a simple connected graph G, the neighborhood Zagreb index is the totality of square of δ G (v) over the vertex set, where δ G (v) is the total count of degrees of all neighbors of v in G. In this report, some bounds are established for the neighborhood Zagreb index. Some explicit expressions of the index for some graph operations are also computed, which are used to obtain the index for some chemically significant molecular graphs. |
| author |
Mondal,Sourav Ali,Muhammad Arfan De,Nilanjan Pal,Anita |
| author_facet |
Mondal,Sourav Ali,Muhammad Arfan De,Nilanjan Pal,Anita |
| author_sort |
Mondal,Sourav |
| title |
Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| title_short |
Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| title_full |
Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| title_fullStr |
Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| title_full_unstemmed |
Bounds for neighborhood Zagreb index and its explicit expressions under some graph operations |
| title_sort |
bounds for neighborhood zagreb index and its explicit expressions under some graph operations |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2020 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000400799 |
| work_keys_str_mv |
AT mondalsourav boundsforneighborhoodzagrebindexanditsexplicitexpressionsundersomegraphoperations AT alimuhammadarfan boundsforneighborhoodzagrebindexanditsexplicitexpressionsundersomegraphoperations AT denilanjan boundsforneighborhoodzagrebindexanditsexplicitexpressionsundersomegraphoperations AT palanita boundsforneighborhoodzagrebindexanditsexplicitexpressionsundersomegraphoperations |
| _version_ |
1718439876532109312 |