journal-of-information-and-optimization-sciences Journal of Information and Optimization Sciences 2169-0103 0252-2667 Taru Publications 10.47974/JIOS-1879 Geodetic sets in zero-divisor graphs Sandhya P. S. Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, 641018, India Mary U. Department of Mathematics, Nirmala College for Women, Coimbatore, Tamil Nadu, 641018, India 46 5 1639 1644 22 05 2025

In this study we analyze the characteristics of finite rings by examining the structural properties of graphs derived from algebraic frameworks and specifically aims to explore the unique attributes of geodetic sets within the zero-divisor graph associated with certain classes of finite rings.

 Geodetic number Geodetic sets Zero-divisor graph Commutative ring access open retracted no