Master's Thesis by "Noor  Abdulmonem Ghanem" Department of Mathematics Discussion of the Master's Thesis Submitted to the College of Computer Science and Mathematics, Department of Mathematics, Entitled: “The Metric Chromatic Number of Annihilating Ideal Graph of Commutative Rings” supervised by  Prof. Dr. Husam Qasem Mohammad This thesis investigates structural and coloring–theoretic properties of the annihilating–ideal graph  of a commutative ring R, defined on the set of nonzero ideals of , having a nonzero annihilator, two distinct ideals being adjacent whenever their product is zero. The study focuses on two special, and widely used, families of commutative rings: local principal ideal rings [Read More]