FAULT-TOLERANT METRIC DIMENSION OF ANNIHILATOR GRAPHS OF COMMUTATIVE RINGS | ||
| Journal of Algebraic Systems | ||
| دوره 13، شماره 1، تیر 2025، صفحه 135-150 اصل مقاله (166.46 K) | ||
| نوع مقاله: Original Manuscript | ||
| شناسه دیجیتال (DOI): 10.22044/jas.2023.12666.1690 | ||
| نویسندگان | ||
| Mohan S. Akhila* ؛ Karunakaran Manilal | ||
| Department of Mathematics, University College, University of Kerala, Thiruvananthapuram, India. | ||
| چکیده | ||
| Let R be a commutative ring with identity. The annihilator graph AG (R) is a simple graph with vertex set as the set of all non-zero zero-divisors of R, and two distinct vertices a and b are adjacent if and only if annR (a) ∪ annR (b) ̸= annR (a · b). We depicted the relationship between the fault-tolerant metric dimension of AG (R) and some graph parameters. Furthermore, we computed the fault-tolerant metric dimension of the annihilator graph of reduced and non-reduced rings. | ||
| کلیدواژهها | ||
| Annihilator graph؛ fault-tolerant metric dimension؛ metric dimension | ||
| مراجع | ||
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