The most dangerous volcanoes using minimum spanning tree of bipolar neutrosophic fuzzy graphs

Authors

  • M. Bhuvaneshwari Department of Mathematics,\\ SRM TRP Engineering College, Tiruchirapalli-621105, Tamil Nadu, India.
  • R. Divya PG and Research Department of Mathematics,\\ Cauvery College for Women (Autonomous), Affiliated to Bharathidasan University, Trichy-18, Tamil Nadu, India
  • S. Poongodisathiya Department of Mathematics and Statistics,\\ Faculty of Science and Humanities, SRM Institute of Science and Technology,\\ Kattankulathur, Chengalpattu, Tamilnadu, India
  • Duraisamy Kumar Department of Mathematics,\\ SRM TRP Engineering College, Tiruchirapalli-621105, Tamil Nadu, India.

Abstract

The purpose of this paper is to demonstrate how minimal spanning trees can be used to simulate the most destructive volcanoes in real life. Find the minimum spanning tree (MST) in the setting of undirected bipolar neutrosophic connected graphs (UBNCG) using a matrix technique. A weight, expressed as a bipolar neutrosophic number (BNN), is assigned to each edge. The new technique is illustrated with a flow chart and a numerical demonstration that takes into account a hypothetical graph. The advantages of the proposed matrix algorithm over other existing methods are further investigated through a comparative analysis.

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Published

2024-11-30

Issue

Vol. 31 No. 4 (2024): Nonlinear Studies (NS)

Section

Articles

License

Copyright (c) 2024 M. Bhuvaneshwari, R. Divya, S. Poongodisathiya, Duraisamy Kumar

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

How to Cite

The most dangerous volcanoes using minimum spanning tree of bipolar neutrosophic fuzzy graphs. (2024). Nonlinear Studies, 31(4), 1197-1209. https://nonlinearstudies.com/index.php/nonlinear/article/view/3770