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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Farnoud, F. Milenkovic, O. |
| Copyright Year | 2011 |
| Description | Author affiliation: Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, USA (Farnoud, F.; Milenkovic, O.) |
| Abstract | We consider the problem of finding the minimum cost transposition decomposition of a permutation. In this framework, arbitrary non-negative costs are assigned to individual transpositions and the task at hand is to devise polynomial-time, constant-approximation decomposition algorithms. We describe a polynomial-time algorithm based on specialized search strategies that constructs the optimal decomposition of individual transpositions. The analysis of the optimality of decompositions of single transpositions uses graphical models and Menger's theorem. We also present a dynamic programing algorithms that finds the minimum cost, minimum length decomposition of a cycle and show that this decomposition represents a 4-approximation of the optimal solution. The results presented for individual cycles extend to general permutations. |
| Starting Page | 2095 |
| Ending Page | 2099 |
| File Size | 346984 |
| Page Count | 5 |
| File Format | |
| ISBN | 9781457705960 |
| ISSN | 21578117 |
| e-ISBN | 9781457705953 |
| e-ISBN | 9781457705946 |
| DOI | 10.1109/ISIT.2011.6033925 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2011-07-31 |
| Publisher Place | Russia |
| Access Restriction | Subscribed |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Cost function Heuristic algorithms Sorting Approximation algorithms Algorithm design and analysis Approximation methods Information theory |
| Content Type | Text |
| Resource Type | Article |
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