The line graph for the complement of the zero divisor graph for the ring of Gaussian integers modulo n is studied. The diameter, the radius and degree of each vertex are determined. Complete ...
The line graph of a graph is defined to be the graph whose vertex set constitutes of the edges of, Where two vertices are adjacent if the corresponding edges have a common vertex in. The importance of ...
A comprehensive system for generating, storing, and querying zero divisor graphs and exact zero divisor graphs for modular arithmetic rings Z_n. The system uses SQLite for portable data storage and ...
A new proof has debunked a conspiracy that mathematicians feared might haunt the number line. In doing so, it has given them another set of tools for understanding arithmetic’s fundamental building ...
Abstract: Collatz conjecture is also known as 3X+1 problem. The original dynamics is occurred 3x+1 and x/2 during the process from any given starting integer to 1. We but propose to study reduced ...