Research Article
Year 2025,
Early Access, 1 - 19
Abstract
References
- [1] MR. Ahmadi and R. Jahani-Nezhad, Energy and Wiener index of zero divisor graphs, J. Iranian of Math Chem. 2 (1), 45-51, 2011.
Year 2025,
Early Access, 1 - 19
Abstract
Let $R$ be a commutative finite ring with nonzero identity and let $Z^{*}(R)$ be the set of nonzero zero-divisors of $R$, the zero-divisor graph of $R$ which is denoted by $\Gamma(R)$ with vertex set $Z^{*}(R)$, where two distinct vertices $x$ and $y$ are adjacent if and only if $xy=0$. We study the concept of Wiener Index in the case of zero-divisor graphs of local rings. We investigate the Wiener index of $\Gamma(R)$ for some finite local rings of order 8.
Keywords
References
- [1] MR. Ahmadi and R. Jahani-Nezhad, Energy and Wiener index of zero divisor graphs, J. Iranian of Math Chem. 2 (1), 45-51, 2011.
There are 1 citations in total.
Details
| Primary Language | English |
|---|---|
| Subjects | Mathematical Sciences |
| Journal Section | Mathematics |
| Authors | |
| Early Pub Date | April 11, 2025 |
| Publication Date | |
| Published in Issue | Year 2025 Early Access |