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Shapes Problem Complexity Issues

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Part of the book series: The Kluwer International Series in Engineering and Computer Science ((SECS,volume 30))

Abstract

In this chapter we give evidence for the NP-completeness of the shapes problem. The chapter contains three separate proofs, each of which is a reduction from a known NP-complete problem. Two of these proofs are reductions from set cover, and will be known as set cover I, and set cover II. The third proof is a reduction from the 3-colorability problem.4, 10, 11, 13, 14

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© 1987 Kluwer Academic Publishers

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Mace, M.E. (1987). Shapes Problem Complexity Issues. In: Memory Storage Patterns in Parallel Processing. The Kluwer International Series in Engineering and Computer Science, vol 30. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2001-2_5

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  • DOI: https://doi.org/10.1007/978-1-4613-2001-2_5

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4612-9194-7

  • Online ISBN: 978-1-4613-2001-2

  • eBook Packages: Springer Book Archive

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