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Some New Upper Bounds for the Y-Index of Graphs

descriptionPublicationkeyboard_double_arrow_right Other literature type , Article 01 Jan 2022Publisher:WileyJournal:Journal of Mathematics, volume 2,022 (issn: 2314-4629, eissn: 2314-4785,

Authors: Durbar Maji; Ganesh Ghorai; Faria Ahmed Shami;

doi: 10.1155/2022/4346234 , 10.60692/0t265-phm08 , 10.60692/m83ka-24k96

Some New Upper Bounds for the Y-Index of Graphs

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Abstract

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.

Related Organizations

Vidyasagar University
India
Bangabandhu Sheikh Mujibur Rahman Science and Technology University
Bangladesh
Vidyasagar University
India

Keywords

Article Subject, Graph Labeling, Graph, QA1-939, FOS: Mathematics, Graph Labeling and Dimension Problems, Graph Spectra and Topological Indices, Discrete mathematics, Invariant (physics), Topological Indices, Vertex (graph theory), Computational Theory and Mathematics, Combinatorics, Mathematical physics, Physical Sciences, Computer Science, Geometry and Topology, Topological index, Mathematics, Computational Methods in Drug Discovery

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