Computational Model for Cardinality Bounded Multiset Space

Abstract

In [1], manual generation of the elements of multiset space and mathematical models for computing the corresponding frequency numbers were presented. These approaches are quite tedious and amenable to mistakes. In this paper, we develop and implement an efficient algorithm to generate the elements of a cardinality bounded multiset space Xn(m) for X and the frequency tables for various values of n and m. Similarly, graphical representations of the respective output tables are plotted to depict the behavioural patterns of Xn(m) for some finite values of n and m>3.