About Testing the Speed of Calculating the Shortest Route

Abstract

Applied into a various area of domains, the graph theory and its applications allow the determination of the shortest route. The common algorithm to solve this problem is Bellman-Kalaba, based on the matrix multiplying operation. If the graph is very large (e.g., the dimension of the associated incidence matrix is big) one of the main problems is to reduce the calculus time. This paper presents a testing method able to analyze if an acceleration of the Bellman-Kalaba is possible and able to determine the time efficiency.