Wiener index and applications in the Neutrosophic graphs

Authors

  • Masoud Ghods Department of Mathematics, Semnan University
  • Zahra Rostami Department of Mathematics, Semnan University

Keywords:

Wiener index, partial Wiener index, totally Wiener index, neutrosophic graph, neutrosophic tree, strong spanning tree, connectivity index

Abstract

In this article, we have examined the Wiener index in neutrosophic graphs. Wiener index is one of the most important topological indices. This index is a distance-based index that is calculated based on the geodesic distance between two vertices. Here, after defining the Wiener index in neutrosophic graphs, we calculated this index for some special modes such as the complete neutrosophic graph, cycle, and tree. In the following, by presenting a several theorems, we compared this index with the connectivity index, which is one of the most important degree-based indicators.

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Published

2021-11-01

Issue

Vol. 46 (2021): Neutrosophic Sets and Systems Vol. 46 (2021)

Section

SI#1,2024: Neutrosophical Advancements And Their Impact on Research

License

Creative Commons License

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

 Creative Commons Attribution (CC BY) license.

How to Cite

Ghods, M. ., & Rostami, Z. . (2021). Wiener index and applications in the Neutrosophic graphs. Neutrosophic Sets and Systems, 46, 229-245. https://fs.unm.edu/nss8/index.php/111/article/view/1954