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Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5228))

Abstract

Given a set C of binary n-tuples and c ∈ C, how many bits of c suffice to distinguish it from the other elements in C ? We shed new light on this old combinatorial problem and improve on previously known bounds.

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References

  1. Anthony, M., Brightwell, G., Cohen, D., Shawe-Taylor, J.: On exact specification by examples. In: 5th Workshop on Computational learning theory, pp. 311–318 (1992)

    Google Scholar 

  2. Anthony, M., Hammer, P.: A Boolean Measure of Similarity. Discrete Applied Mathematics 154(16), 2242–2246 (2006)

    Article  MATH  MathSciNet  Google Scholar 

  3. Bondy, J.A.: Induced subsets. J. Combin. Theory (B) 12, 201–202 (1972)

    Article  MATH  MathSciNet  Google Scholar 

  4. Goldman, S.A., Kearns, M.J.: On the complexity of teaching. In: 4th Workshop on Computational learning theory, pp. 303–315 (1991)

    Google Scholar 

  5. Jukna, S.: Extremal Combinatorics Springer Texts in Theoretical Computer Science (2001)

    Google Scholar 

  6. Kushilevitz, E., Linial, N., Rabinovitch, Y., Saks, M.: Witness sets for families of binary vectors. J. Combin. Theory (A) 73, 376–380 (1996)

    MATH  Google Scholar 

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Ángela Barbero

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© 2008 Springer-Verlag Berlin Heidelberg

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Cohen, G., Randriam, H., Zémor, G. (2008). Witness Sets. In: Barbero, Á. (eds) Coding Theory and Applications. Lecture Notes in Computer Science, vol 5228. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87448-5_5

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  • DOI: https://doi.org/10.1007/978-3-540-87448-5_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87447-8

  • Online ISBN: 978-3-540-87448-5

  • eBook Packages: Computer ScienceComputer Science (R0)

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