Importance of Power Digraph in Computer Science

Abstract

The understanding of a computer based software or self-designed tool is extremely difficult to analyze without some appropriate mathematics. In any algorithm, it is always possible to visualize its core steps with the help of a flow chart or a graph. Thus, drawing graphs and digraphs of any structure based algorithm or computer oriented outputs is much more helpful in achieving a better understanding. In discrete mathematics, digraphs based on modular arithmetic are becoming a core interest of many computer scientists and number theorist. As these digraphs are easy to label using the residues of any given integer. Thus, algorithms based on integral mathematics are easy to evaluate with the help of a power digraph. A power digraph can be constructed from the congruence equation $a^{m}\equiv b(\text{mod} n)$ , where $a, b, \in Z_{n}$ . In this note, we highlight some fields of interest where power digraphs can be utilized in a more friendly way to entertain a layman without knowing much about its mathematics.