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Intractability: a geometric representation

Published: 12 March 1994 Publication History

Abstract

This paper introduces a geometric representation that can be applied to illustrate the complexity of some combinatorial optimization problems. In this work, it is applied to the 0/1 knapsack problem and to a special case of a scheduling problem. This representation gives insight into the difference between tractable and intractable problems. It can therefore be used as a stepping stone to compare polynomial (P) and nondeterministic polynomial (NP) problems, before venturing into the world of NP-completeness.

References

[1]
ACM Curriculum Committee on Computer Science. Curriculum 68: Recommendations for academic programs in computer science. Communications of the ACM, I 1 (3): 151-197, 1968.
[2]
ACM Curriculum Committee on Computer Science. Curriculum 78: Recommendations for the undergraduate program in computer science. Communications of the ACM, 22(3):147-166, 1979.
[3]
N. Gibbs and A. Tucker. A model corriculum for a liberal arts degree in computer science. Communications of the ACM, 29(3):202-210, 1986.
[4]
R.M. Karp. Reducibility among combinatorial problems. In R. E. Miller and J. W. Thatcher, editors, Complexity of Computer Computation, pages 85-103. Plenum, New York, 1972.
[5]
S. Martello and P. Toth. Knapsack Problems: Algorithms and Computer Implementations. John Wiley & Sons, Chichester, West Sussex, England, 1990.
[6]
C.H. Papadimitriou and K. Steiglitz. Combinatorial Optimization: Algorithms and Complexity. Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1982.
[7]
D.R. Stinson. An Introduction to the Design and Analysis of Algorithms. The Charles Babbage Research Center, Winnipeg, Manitoba, Canada, 2nd edition, 1987.
[8]
A.J. Turner. Introduction to the joint curriculum task force report. Communications of the ACM, 34(6):69-79,1991.

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  • (2019)AlgoBOWLProceedings of the 2019 ACM Conference on Innovation and Technology in Computer Science Education10.1145/3304221.3319761(471-477)Online publication date: 2-Jul-2019

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Information

Published In

cover image ACM SIGCSE Bulletin
ACM SIGCSE Bulletin  Volume 26, Issue 1
March 1994
410 pages
ISSN:0097-8418
DOI:10.1145/191033
Issue’s Table of Contents
  • cover image ACM Conferences
    SIGCSE '94: Proceedings of the twenty-fifth SIGCSE symposium on Computer science education
    March 1994
    414 pages
    ISBN:0897916468
    DOI:10.1145/191029
Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 12 March 1994
Published in SIGCSE Volume 26, Issue 1

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Cited By

View all
  • (2019)AlgoBOWLProceedings of the 2019 ACM Conference on Innovation and Technology in Computer Science Education10.1145/3304221.3319761(471-477)Online publication date: 2-Jul-2019

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