International Journal of Nonlinear Analysis and Applications

Novel concepts of the Randic index in vague graphs with applications

Document Type : Research Paper

Authors

Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran

Abstract

A topological index is a numerical quantity for the structure graph of the molecule and it can be represented through graph theory. Also, its application not only in the field of chemistry can also be applied in areas including computer science, networking, etc. Hence, this paper introduces the Randic index of a vague graph and vague subgraph with their properties. The upper and lower boundaries of the Randic index of vague graphs are studied with some isomorphic properties. Likewise, the Randic index of directed vague graphs is introduced. Finally, an application of the Randic index in construction has been presented.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 11
November 2024
Pages 271-283
  • Receive Date: 10 June 2023
  • Revise Date: 28 October 2023
  • Accept Date: 14 November 2023