MODULI-PARAMETERIZED GRAPH CLASSES

Abstract

This Project investigates the creation and analysis of a specialized class of graphs called "modular graphs", which are formed based on a set of moduli from modular arithmetic. The purpose is to realize how the properties of these moduli influence, structure, the other characteristics and connectivity of the resulting graphs. Modular arithmetic, a branch of number theory dealing with arithmetic operations on congruence classes, coding theory, algorithm design, including cryptography and plays a pivotal role in diverse fields. In Modular arithmetic, we use different types of graphs which satisfy many properties by which we are able to study connection of basis terms of graph with this particular graph.