Topological Structure of Nested Chain Abacus

Eman F.  Mohommed

doi:10.24996/ijs.2020.SI.1.20

Topological Structure of Nested Chain Abacus

Authors

Eman F. Mohommed Department of Mathematics, College of Education, University of Mustansiriyah, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.SI.1.20

Keywords:

n-connected ominoes, Abacus, Nested Chain, Connected Partition

Abstract

This paper focuses on developing a strategy to represent the -connected ominoes using an abacus. We use the idea of -connected ominoes with respect to a frame in modelling nested chain abacus. Then, we formulate and prove the unique connected partition for any -connected ominoes. Next, the topological structure of nested chain abacus is presented.