%0 Journal Article %A Swapnoneel Roy and Ashok Kumar Thakur and Minhazur Rahman %D 2008 %J International Journal of Mathematical and Computational Sciences %B World Academy of Science, Engineering and Technology %I Open Science Index 14, 2008 %T Block Sorting: A New Characterization and a New Heuristic %U https://publications.waset.org/pdf/3557 %V 14 %X The Block Sorting problem is to sort a given permutation moving blocks. A block is defined as a substring of the given permutation, which is also a substring of the identity permutation. Block Sorting has been proved to be NP-Hard. Until now two different 2-Approximation algorithms have been presented for block sorting. These are the best known algorithms for Block Sorting till date. In this work we present a different characterization of Block Sorting in terms of a transposition cycle graph. Then we suggest a heuristic, which we show to exhibit a 2-approximation performance guarantee for most permutations. %P 133 - 139