ABSTRACT: This paper investigates the connections between ring theory, module theory, and graph theory through the graph G( R ) of a ring R. We establish that vertices of G( R ) correspond to modules, ...

Back in the hazy olden days of the pre-2000s, navigating between two locations generally required someone to whip out a paper map and painstakingly figure out the most optimal route between those ...

Abstract: Graph theory has remained one of the most challenging concepts of mathematics for engineering graduates. Most of the courses of engineering curriculum are application based, wherein ...

The past decade has witnessed a great interest within the neuroscience community in modeling the function and structure of the brain and probing the dynamics between the two. DTI has been widely used ...

Abstract: Some theorems in graph theory, which have received little use in circuit theory, are used to derive constraints on the voltage, current, and power associated with the elements in a dc-to-dc ...

Graph theory is the study of networks and connections between variables. In the real world it has uses from powering search engine algorithms to fixing airline scheduling. Now, scientists are using it ...

On March 15, intriguing seminar announcements sent rumblings through the field of combinatorics, the mathematical study of counting. Three collaborators planned to give coordinated talks the following ...