An Improved Upper Bound for Genome Rearrangement by Prefix Transpositions

Genome rearrangement problems in Genomics are studied extensively due to their significance in the evolution theory and detection of hereditary illnesses. This is a challenging problem in Big Data science for Computational Biologist due to the large number of DNA sequences being generated, explored, and analyzed. Identifying the position of genes in a genome as a permutation has transformed this problem into a sorting of permutations with certain constraints. Sorting permutations by different types of reversals and transpositions have been an active area of research due to their high resemblance to genome rearrangements. A prefix transposition is a particular type of transposition where the first few symbols of the permutation are moved to another fixed position. In this paper, we provide a better upper bound for sorting permutations by prefix transpositions.