Mathematical Fallacies and Applications of Graph Theory in Electrical Engineering

Abstract

A graph is a pair of two sets. A graph is a representation of a system that uses two basic elements of vertices and edges, a node represented by a circle and edge represented by a line connecting two nodes. Graph theory is widely used in every field of engineering. In this paper, an application description of the graph is presented to find the shortest path and circuit network. The purpose of this paper is to connect graphs with engineering and electrical subjects. But beforehand, some fundamental mistakes of thinking in understanding mathematics, also called as fallacies are also introduced.