The Wiener Index for Neutrosophic Labeling Graphs and Its Application in River Ecosystem Analysis

M. Gomathi; S. Prema; N. Preethi

doi:10.26713/cma.v16i1.2927

Authors

M. Gomathi Department of Mathematics, Bannari Amman Institute of Technology (affiliated to Anna University), Sathyamangalam 638401, Erode, Tamil Nadu, India https://orcid.org/0000-0002-1935-3370
S. Prema Department of Mathematics, Avinashilingam Institute for Home Science and Higher Education for Women (Deemed to be University), Coimbatore 641043, Tamil Nadu, India https://orcid.org/0000-0002-4553-2858
N. Preethi Department of Science and Humanities, Sri Krishna College of Engineering and Technology (affiliated to Anna University), Coimbatore 641008, Tamil Nadu, India https://orcid.org/0000-0002-5704-5993 (unauthenticated)

DOI:

https://doi.org/10.26713/cma.v16i1.2927

Keywords:

Neutrosophic labeling graphs, Randic index, Zagreb indices, Connectivity index, Harmonic index, Neutrosophic labeling Weiner index

Abstract

This paper explores several topological indices in neutrosophic labeling graphs, including Randic’s, Zagreb, connectivity, and harmonic indices. Theorems linked to concepts are proved using appropriate instances. Application of the Wiener index is analyzed in river basin ecosystems across different seasons to understand seasonal changes in the ecosystem’s structure and interactions. This approach gives detailed information about the uncertainties and natural variations in river systems.

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