17 November، 2022
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled: “Extended Idempotent Divisor Graphs of A Commutative Rings”
Discussion of a master’s thesis in the College of Computer Science and Mathematics – Department of Mathematics Sciences entitled:”Extended Idempotent Divisor Graphs of A Commutative Rings”It was discussed in the discussion room at the Faculty of Computer Science and Mathematics at the University of Mosul on Wednesday 17-11-2022Master’s thesis by student Sumaya Mohammed Abd-almohy , under the supervisor of Assistant Professor Dr. Husam Qasem Mohammad. In this work we introduced an extended idempotent divisor graph as a simple graph of a finite commutative ring with vertices set in and two distinct elements V( ) adjacent if and only if there exists two positive integers and such that. ,where is an idempotent element not equal and .The aim of this work its to give some basic properties of an extended idempotent divisor graph specially when reduced ring, also we classify its graphs by using diameter as well as we find order, size and center. Finally we applied this concepts in a ring module n and we give a Hosoya polynomial and Wiener index of this graphs.The scientific committee included the following members:1- Prof. Dr. Nazar Hamdoon Shuker -Chairman2- Asst. Prof. Zubaida Mohammed Ibraheem- Member3- Asst. Prof. Dr. Payman Abas Rashed – Member4- Professor Dr. Husam Qasem Mohammad – Advisor and Member
