On the Harary index of $\Gamma(\mathbb{Z}_n)$
Keywords:
Graph theory, Topological indeces, Harary index, Zero-divisor graph, Distance in graphAbstract
In this work, the Harary index of zero-divisor graphs of rings $\mathbb{Z}_n$ are calculated when n is a member of the set {2p, p2, p^\lambda, pq, p2q, pqr} where p, q and r are distinct prime numbers and $\lambda$ is an integer number. We give the formulas for computing the Harary index of $\Gamma(\mathbb{Z}_n)$. Moreover, the Harary index of graphs for products of rings was computed.
Downloads
Published
2024-09-01
How to Cite
Gursoy, A., Ülker, A., & Kircali Gursoy, N. (2024). On the Harary index of $\Gamma(\mathbb{Z}_n)$. International Journal of Maps in Mathematics, 7(2), 122–137. Retrieved from https://simadp.com/journalmim/article/view/7-2-1
Issue
Section
Articles
License
The copyright to the article is transferred to body International Journal of Maps in Mathematics effective if and when the article is accepted for publication.
- The copyright transfer covers the exclusive right to reproduce and distribute the article, including reprints, translations, photographic reproductions, microform, electronic form (offline, online) or any other reproductions of similar nature.
- An author may make his/her article published by body International Journal of Maps in Mathematics available on his/her home page provided the source of the published article is cited and body International Journal of Maps in Mathematics is mentioned as copyright owner.
- The author warrants that this contribution is original and that he/she has full power to make this grant. The author signs for and accepts responsibility for releasing this material on behalf of any and all co-authors. After submission of this agreement signed by the corresponding author, changes of authorship or in the order of the authors listed will not be accepted by body International Journal of Maps in Mathematics.
