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The Zagreb coindices to Zero Divisors Graph of Principal Ideal Local Rings | ||
| AL-Rafidain Journal of Computer Sciences and Mathematics | ||
| Articles in Press, Corrected Proof, Available Online from 22 July 2025 | ||
| Document Type: Research Paper | ||
| DOI: 10.33899/csmj.2025.159827.1188 | ||
| Author | ||
| ahmed sadeek alsafar* | ||
| university of mosul | ||
| Abstract | ||
| Abstract - In the current paper, the focus is on studying the graph structure of the zero-divisor graph , when R is a local principal ideal ring (P.I.R). Also, a special attention is given to the case in which the nilpotency index t is an even or odd positive integer, and the graph structure is clearly given in terms of the properties of the sets . Furthermore, the formulas are given for the purpose of computing the Zagreb coindices of the graph . The results build on an understanding of how the algebraic ring properties are related to the structural graph properties of the respective graphs. | ||
| Keywords | ||
| Zero divisors graph; local principal ideal; zagreb coindex | ||
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