New Results on the Forgotten Topological Index and Coindex

The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively. The ℱ-index of a graph is defined as the sum of cubes of...

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Auteurs principaux:	Akbar Jahanbani, Maryam Atapour, Rana Khoeilar
Format:	article
Langue:	EN
Publié:	Hindawi Limited 2021
Sujets:	Mathematics QA1-939
Accès en ligne:	https://doaj.org/article/c386c1c92861484d93916b004586b6d6
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spelling	oai:doaj.org-article:c386c1c92861484d93916b004586b6d62021-11-15T01:19:57ZNew Results on the Forgotten Topological Index and Coindex2314-478510.1155/2021/8700736https://doaj.org/article/c386c1c92861484d93916b004586b6d62021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/8700736https://doaj.org/toc/2314-4785The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively. The ℱ-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. This was introduced in 1972 in the same paper where the first and second Zagreb indices were introduced to study the structure dependency of total π-electron energy. Therefore, considering the importance of the ℱ-index and ℱ-coindex, in this paper, we study these indices, and we present new bounds for the ℱ-index and ℱ-coindex.Akbar JahanbaniMaryam AtapourRana KhoeilarHindawi LimitedarticleMathematicsQA1-939ENJournal of Mathematics, Vol 2021 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Mathematics QA1-939
spellingShingle	Mathematics QA1-939 Akbar Jahanbani Maryam Atapour Rana Khoeilar New Results on the Forgotten Topological Index and Coindex
description	The ℱ-coindex (forgotten topological coindex) for a simple connected graph G is defined as the sum of the terms ζG2y+ζG2x over all nonadjacent vertex pairs x,y of G, where ζGy and ζGx are the degrees of the vertices y and x in G, respectively. The ℱ-index of a graph is defined as the sum of cubes of the vertex degrees of the graph. This was introduced in 1972 in the same paper where the first and second Zagreb indices were introduced to study the structure dependency of total π-electron energy. Therefore, considering the importance of the ℱ-index and ℱ-coindex, in this paper, we study these indices, and we present new bounds for the ℱ-index and ℱ-coindex.
format	article
author	Akbar Jahanbani Maryam Atapour Rana Khoeilar
author_facet	Akbar Jahanbani Maryam Atapour Rana Khoeilar
author_sort	Akbar Jahanbani
title	New Results on the Forgotten Topological Index and Coindex
title_short	New Results on the Forgotten Topological Index and Coindex
title_full	New Results on the Forgotten Topological Index and Coindex
title_fullStr	New Results on the Forgotten Topological Index and Coindex
title_full_unstemmed	New Results on the Forgotten Topological Index and Coindex
title_sort	new results on the forgotten topological index and coindex
publisher	Hindawi Limited
publishDate	2021
url	https://doaj.org/article/c386c1c92861484d93916b004586b6d6
work_keys_str_mv	AT akbarjahanbani newresultsontheforgottentopologicalindexandcoindex AT maryamatapour newresultsontheforgottentopologicalindexandcoindex AT ranakhoeilar newresultsontheforgottentopologicalindexandcoindex
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New Results on the Forgotten Topological Index and Coindex

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