|
ABSTRACT
For P-complete problems such as traveling salesperson, cycle covers, 0-1 integer programming, multicommodity network flows, quadratic assignment, etc., it is shown that the approximation problem is also P-complete. In contrast with these results, a linear time approximation algorithm for the clustering problem is presented.
REFERENCES
Note: OCR errors may be found in this Reference List extracted from the full text article. ACM has opted to expose the complete List rather than only correct and linked references.
| |
1
|
BODIN, L D. A graph theoretic approach to the grouping of ordering data. Networks 2 (1972), 307- 310
|
 |
2
|
|
| |
3
|
CONWAY, R W., MAXWELL, N.L, AND MILLER, L W Theory of Scheduhng Addison-Wesley, Reading, Mass, 1967
|
 |
4
|
|
| |
5
|
GARFINKEL, R S., AND NEMHAUSER, G L Integer Programming Wiley, New York, 1972
|
 |
6
|
|
 |
7
|
M. R. Garey , D. S. Johnson , L. Stockmeyer, Some simplified NP-complete problems, Proceedings of the sixth annual ACM symposium on Theory of computing, p.47-63, April 30-May 02, 1974, Seattle, Washington, United States
[doi> 10.1145/800119.803884]
|
| |
8
|
GRAHAM, R L Bounds on multlprocesslng timing anomalies SIAM j Appl Math 17, 2 (March 1969), 416-429
|
 |
9
|
|
 |
10
|
|
| |
11
|
JOHNSON, D Approximation algorithms for combinatorml problems. J Comput. Syst Sczs 9, 3 (Dec 1974), 256-278
|
| |
12
|
JOHNSON, D.B, ANY LAFUENTF., J M A controlled single pass classification algorithm with{ application to multilevel clustering Scientific Rep #ISR-18, Information Sczence and Retrieval, Cornell U , Ithaca, N Y , Oct 1970, pp XII-1-XII-37
|
| |
13
|
KARP, R M Reducibility among combinatorial problems In Complexity of Computer Computa-{ tions, R E Miller and J W Thatcher, Eds , Plenum Press, N Y, 1972, pp 85-104
|
| |
14
|
KNUTH, D E. A terminological proposal ACM SIGACT News 6, 1 (Jan 1974), 12-18
|
| |
15
|
LUKES, J A Combinatorml solutmn to the partitioning of general graphs IBM J Res and Develop 19, 2 (March 1975), 170-180
|
| |
16
|
ROS~NKRASTZ, D J , STEAar~S, R E , ANn L~.wm, P M Approximate algorithms for the travelhng salesperson problem 15th Annual IEEE Symp on Switching and Automata Theory, 1974, pp 33- 42
|
| |
17
|
Ross, G T, AND SOLAND, R M A branch and bound algorithm for the generalized assignment problem Math Programming 8 (1975), 91-103
|
 |
18
|
|
| |
19
|
SAHNI, S Computationally related problems. SIAM J Comput 3, 4 (Dec 1974), pp 262-279
|
 |
20
|
|
CITED BY 80
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
W. Fernandez de la Vega , Marek Karpinski , Claire Kenyon , Yuval Rabani, Approximation schemes for clustering problems, Proceedings of the thirty-fifth annual ACM symposium on Theory of computing, June 09-11, 2003, San Diego, CA, USA
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Barbara M. Anthony , Vineet Goyal , Anupam Gupta , Viswanath Nagarajan, A plant location guide for the unsure, Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms, p.1164-1173, January 20-22, 2008, San Francisco, California
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Amos Beimel , Boaz Ben-Moshe , Yehuda Ben-Shimol , Paz Carmi , Eldad Chai , Itzik Kitroser , Eran Omri, Matrix columns allocation problems, Theoretical Computer Science, v.410 n.21-23, p.2174-2183, May, 2009
|
|
|
|
|
|
|
|
|
|
|
|
Tabitha James , César Rego , Fred Glover, Multistart tabu search and diversification strategies for the quadratic assignment problem, IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans, v.39 n.3, p.579-596, May 2009
|
|
|
Peter Zipf , Gilles Sassatelli , Nurten Utlu , Nicolas Saint-Jean , Pascal Benoit , Manfred Glesner, A decentralised task mapping approach for homogeneous multiprocessor network-on-chips, International Journal of Reconfigurable Computing, 2009, p.1-14, January 2009
|
|
|
Marcus Furuholmen , Kyrre Harald Glette , Mats Erling Hovin , Jim Torresen, Scalability, generalization and coevolution -- experimental comparisons applied to automated facility layout planning, Proceedings of the 11th Annual conference on Genetic and evolutionary computation, July 08-12, 2009, Montreal, Québec, Canada
|
|