BLOCK INVERSION ON ${\wp}$WORDS WITH ZERO PALINDROMIC DEFECT

Abstract

The role of ℘words and inversions in molecular biology led to a unified study of inversions on ℘words. In this paper, we use a generalization of the concept of inversion termed as block inversion on finite rich ℘words. A comparison of block inversion on finite total words and on finite ℘words is made. We conclude that the total number of ℘words in the block inversion set of a finite rich ℘word of length n is strictly less than 2 n−1 .