Some New Upper Bounds for the Y-Index of Graphs

In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y-index of graph proposed by Alameri as the sum of the fourth power of ea...

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Main Authors: Durbar Maji, Ganesh Ghorai, Faria Ahmed Shami
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/4346234
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author Durbar Maji
Ganesh Ghorai
Faria Ahmed Shami
author_facet Durbar Maji
Ganesh Ghorai
Faria Ahmed Shami
author_sort Durbar Maji
collection DOAJ
description In mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y-index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph. The approximate range of the descriptors is determined by obtaining the bounds for the topological indices of graphs. In this paper, firstly, some upper bounds for the Y-index on trees with several types of domination number are studied. Secondly, some new bounds are also presented for this index of graphs in terms of relevant parameters with other topological indices. Additionally, a new idea on bounds for the Y-index by applying binary graph operations is computed.
format Article
id doaj-art-32907eb5083145348067eb6e86cf88d4
institution Kabale University
issn 2314-4785
language English
publishDate 2022-01-01
publisher Wiley
record_format Article
series Journal of Mathematics
spelling doaj-art-32907eb5083145348067eb6e86cf88d42025-02-03T01:10:37ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/4346234Some New Upper Bounds for the Y-Index of GraphsDurbar Maji0Ganesh Ghorai1Faria Ahmed Shami2Department of Applied Mathematics with Oceanology and Computer ProgrammingDepartment of Applied Mathematics with Oceanology and Computer ProgrammingDepartment of MathematicsIn mathematical chemistry, the topological indices with highly correlation factor play a leading role specifically for developing crucial information in QSPR/QSAR analysis. Recently, there exists a new graph invariant, namely, Y-index of graph proposed by Alameri as the sum of the fourth power of each and every vertex degree of that graph. The approximate range of the descriptors is determined by obtaining the bounds for the topological indices of graphs. In this paper, firstly, some upper bounds for the Y-index on trees with several types of domination number are studied. Secondly, some new bounds are also presented for this index of graphs in terms of relevant parameters with other topological indices. Additionally, a new idea on bounds for the Y-index by applying binary graph operations is computed.http://dx.doi.org/10.1155/2022/4346234
spellingShingle Durbar Maji
Ganesh Ghorai
Faria Ahmed Shami
Some New Upper Bounds for the Y-Index of Graphs
Journal of Mathematics
title Some New Upper Bounds for the Y-Index of Graphs
title_full Some New Upper Bounds for the Y-Index of Graphs
title_fullStr Some New Upper Bounds for the Y-Index of Graphs
title_full_unstemmed Some New Upper Bounds for the Y-Index of Graphs
title_short Some New Upper Bounds for the Y-Index of Graphs
title_sort some new upper bounds for the y index of graphs
url http://dx.doi.org/10.1155/2022/4346234
work_keys_str_mv AT durbarmaji somenewupperboundsfortheyindexofgraphs
AT ganeshghorai somenewupperboundsfortheyindexofgraphs
AT fariaahmedshami somenewupperboundsfortheyindexofgraphs