Entire forgotten topological index of graphs
Abstract: The Forgotten topological index or F-index is defined as the sum of cubes of the degrees of vertices of a graph. For this classical F-index, we ignore the intermolecular forces that exist between the atoms and bonds and consider only the intermolecular forces between the atoms of a molecul...
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Universidad Católica del Norte, Departamento de Matemáticas
2020
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oai:scielo:S0716-091720200004010192020-08-13Entire forgotten topological index of graphsBharali,A.Doley,AmitavBuragohain,Jibonjyoti Degree of vertex Zagreb indices F-index Operations of graphs Abstract: The Forgotten topological index or F-index is defined as the sum of cubes of the degrees of vertices of a graph. For this classical F-index, we ignore the intermolecular forces that exist between the atoms and bonds and consider only the intermolecular forces between the atoms of a molecule. In this paper, we introduce a new graph invariant called “Entire Forgotten topological index” or “Entire F-index”, that includes incidency of edges and vertices in addition to the adjacency of the vertices. We obtain some important properties of the index and also establish formulae of this newly defined index for some operations of 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=S0716-09172020000401019en10.22199/issn.0717-6279-2020-04-0064 |
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Scielo Chile |
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Scielo Chile |
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English |
topic |
Degree of vertex Zagreb indices F-index Operations of graphs |
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Degree of vertex Zagreb indices F-index Operations of graphs Bharali,A. Doley,Amitav Buragohain,Jibonjyoti Entire forgotten topological index of graphs |
description |
Abstract: The Forgotten topological index or F-index is defined as the sum of cubes of the degrees of vertices of a graph. For this classical F-index, we ignore the intermolecular forces that exist between the atoms and bonds and consider only the intermolecular forces between the atoms of a molecule. In this paper, we introduce a new graph invariant called “Entire Forgotten topological index” or “Entire F-index”, that includes incidency of edges and vertices in addition to the adjacency of the vertices. We obtain some important properties of the index and also establish formulae of this newly defined index for some operations of graphs. |
author |
Bharali,A. Doley,Amitav Buragohain,Jibonjyoti |
author_facet |
Bharali,A. Doley,Amitav Buragohain,Jibonjyoti |
author_sort |
Bharali,A. |
title |
Entire forgotten topological index of graphs |
title_short |
Entire forgotten topological index of graphs |
title_full |
Entire forgotten topological index of graphs |
title_fullStr |
Entire forgotten topological index of graphs |
title_full_unstemmed |
Entire forgotten topological index of graphs |
title_sort |
entire forgotten topological index of graphs |
publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
publishDate |
2020 |
url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401019 |
work_keys_str_mv |
AT bharalia entireforgottentopologicalindexofgraphs AT doleyamitav entireforgottentopologicalindexofgraphs AT buragohainjibonjyoti entireforgottentopologicalindexofgraphs |
_version_ |
1718439879992410112 |