LÓPEZ-BONILLA INDEX FOR GRAPHS
Print ISSN: 0972-7752 | Online ISSN: 2582-0850 | Total Downloads : 42
DOI: https://doi.org/10.56827/SEAJMMS.2025.2101.17
Author :
K. N. Jayalakshmi (Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri -571201, Karnataka, INDIA)
H. Mangala Gowramma (Department of Mathematics, Siddaganga Institute of Technology, Tumakuru - 572103, Karnataka, INDIA)
J. Luis López-Bonilla (ESIME Zacatenco, Instituto Politecnico Nacional, Edif. 4, 1er. Piso, Col. Lindavista CP 07738, CDMX, MEXICO)
R. Rajendra (Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri -571201, Karnataka, INDIA)
P. Siva Kota Reddy (Department of Mathematics, JSS Science and Technology University, Mysuru - 570006, Karnataka, INDIA)
Abstract
Chemical reactivity or physical attributes are correlated with a chemical structure through a number known as the topological index of that structure. Several topological indices have been defined on graphs using degrees of vertices, for instance first and second Zagreb indices. In this paper, we introduce a new topological index of a graph called López-Bonilla index using tension on edges. Further, we establish some inequalities and compute López-Bonilla index for some standard graphs. Further, a QSPR analysis has been carried to demonstrate that López-Bonilla index can be used as a predictive measure for physical properties of lower alkanes. Linear regression models involving López-Bonilla index have been presented for some physical properties of lower alkanes.
Keywords and Phrases
Geodesic, Tension on an edge, Topological index.
A.M.S. subject classification
05C09, 05C38, 05C90, 92E10.
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