Duality of Graph and Its Application in Electric Circuit

Abstract

Graph theory is broadly used to verify many arithmetical theories and models. This assessment introduces the use of numerous graph concept theories to clear up difficulties in numerous sectors of technology and generations similarly to arithmetic. A number of them fields encompass computer technology, chemistry, biology, virtual image processing, webpage design, scientific technology and overall performance studies. In a mathematical idea take a look at of the graph, a double graph of the Gr is a plane with a vertex of one face of Gr. A twin graph has the rims of every pair of facets in Gr splits from the alternative via the edge, and a self-loop where the equal face appears on each facets of the image(2). Here we explain a scholar task in which we build a calculation answer for an electrical circuit primarily based on graph concept theory. This multidisciplinary technique includes abstract mathematics, linear algebra, circuit physics and computer programming, in order to achieve the automated aim-solving intentions(1).