A Mathematical Approach to Balanced Tanner Graph Enumeration

Abstract

This paper summarizes our latest understanding and results about the application of the Mathematics Of Enumeration to Tanner Graphs that have a regular structure called Balanced Tanner Graphs. Some preliminaries of permutation groups have been presented followed by various enumeration theorems, and finally our approach for enumeration of Balanced Tanner Graphs has been explained, and several open questions have been raised.