A quadratic time 2-approximation algorithm for block sorting

نویسندگان

  • Wolfgang W. Bein
  • Lawrence L. Larmore
  • Linda Morales
  • Ivan Hal Sudborough
چکیده

We give an approximation algorithm for the block sorting problem with an approximation ratio of 2 and run time O(n). The approximation algorithm is based on the related concept of block deletion. We show that finding an optimum block deletion sequence can be done in O(n) time, while block sorting is known to be NP-hard. Block sorting has importance in connection with optical character recognition (OCR) and is related to transposition sorting in computational biology.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

A Faster and Simpler 2-Approximation Algorithm for Block Sorting

Block sorting is used in connection with optical character recognition (OCR). Recent work has focused on finding good strategies which perform well in practice. Block sorting is NP-hard and all of the previously known heuristics lack proof of any approximation ratio. We present here an approximation algorithm for the block sorting problem with approximation ratio of 2 and run time O(n). The app...

متن کامل

On Approximability of Block Sorting

Block Sorting is a well studied problem, motivated by its applications in Optical Character Recognition (OCR), and Computational Biology. Block Sorting has been shown to be NP-Hard, and two separate polynomial time 2-approximation algorithms have been designed for the problem. But questions like whether a better approximation algorithm can be designed, and whether the problem is APX-Hard have b...

متن کامل

Block Sorting: A Characterization and some Heuristics

Given a permutation π, the   problem is to find a shortest series of block moves which, when applied in succession, sorts π. Here a block is a maximal substring of successive integers in order, and a block move is the displacement of a block to a location where it merges with another block.   is an NP-hard optimization problem [3] and has a factor 2 approximation algorit...

متن کامل

An O(n3) algorithm for sorting signed genomes by reversals, transpositions, transreversals and block-interchanges

We consider the problem of sorting signed permutations by reversals, transpositions, transreversals, and block-interchanges. The problem arises in the study of species evolution via large-scale genome rearrangement operations. Recently, Hao et al. gave a 2-approximation scheme called genome sorting by bridges (GSB) for solving this problem. Their result extended and unified the results of (i) H...

متن کامل

A simpler and faster 1.5-approximation algorithm for sorting by transpositions

An important problem in genome rearrangements is sorting permutations by transpositions. The complexity of the problem is still open, and two rather complicated 1.5-approximation algorithms for sorting linear permutations are known (Bafna and Pevzner, 98 and Christie, 99). The fastest known algorithm is the quadratic algorithm of Bafna and Pevzner. In this paper, we observe that the problem of ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Theor. Comput. Sci.

دوره 410  شماره 

صفحات  -

تاریخ انتشار 2009