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P-Complete Approximation Problems
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Volume 23 ,  Issue 3  (July 1976) table of contents
Pages: 555 - 565  
Year of Publication: 1976
ISSN:0004-5411
Authors
Sartaj Sahni  Department of Computer Science, 114 Lind Hall, University of Minnesota, Minneapolis, MN
Teofilo Gonzalez  Department of Information and Computing Sciences, University of Oklahoma, Norman, OK
Publisher
ACM  New York, NY, USA
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Downloads (6 Weeks): 35,   Downloads (12 Months): 292,   Citation Count: 79
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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
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CONWAY, R W., MAXWELL, N.L, AND MILLER, L W Theory of Scheduhng Addison-Wesley, Reading, Mass, 1967
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GARFINKEL, R S., AND NEMHAUSER, G L Integer Programming Wiley, New York, 1972
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GRAHAM, R L Bounds on multlprocesslng timing anomalies SIAM j Appl Math 17, 2 (March 1969), 416-429
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JOHNSON, D Approximation algorithms for combinatorml problems. J Comput. Syst Sczs 9, 3 (Dec 1974), 256-278
 
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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
 
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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
 
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KNUTH, D E. A terminological proposal ACM SIGACT News 6, 1 (Jan 1974), 12-18
 
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LUKES, J A Combinatorml solutmn to the partitioning of general graphs IBM J Res and Develop 19, 2 (March 1975), 170-180
 
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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
 
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Ross, G T, AND SOLAND, R M A branch and bound algorithm for the generalized assignment problem Math Programming 8 (1975), 91-103
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SAHNI, S Computationally related problems. SIAM J Comput 3, 4 (Dec 1974), pp 262-279
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CITED BY  80

Collaborative Colleagues:
Sartaj Sahni: colleagues
Teofilo Gonzalez: colleagues