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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Autores principales: Bharali,A., Doley,Amitav, Buragohain,Jibonjyoti
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2020
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172020000401019
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spelling 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
institution Scielo Chile
collection Scielo Chile
language English
topic Degree of vertex
Zagreb indices
F-index
Operations of graphs
spellingShingle 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
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