• TWO -S-THREE TRANSFORMATIONS AND ITS PROPERTIES

Abstract

This paper introduces a new type of discrete transformation function called 2S3 transformation using SM family of Graphs viz SM sum graphs  and SM Balancing graphs. SM sum graphs are associated with the relationship between the powers of 2 and the positive integers. SM balancing graphs are formed by using the fact that all positive integers can be written as a linear combination of powers of 3. These graphs are systematically arranged graphs. Also an extended 2S3 transformation function is introduced. SM family of graphs are vertex labeled graphs. A new type of....