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Searching for counterfeit coins

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Abstract

The well-known counterfeit problem asks for the minimum number of weighings necessary to determine all fake coins in a given set ofn coins. We derive a new upper bound when we know that at mostd coins are defective, improving a previous result of L. Pyber.

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References

  1. Aigner, M.: Combinatorial Search. Wiley-Teubner 1988

  2. Bellman, R., Glass, B.: On various versions of the defective coin problem. Inform. Control4, 141–147 (1961)

    Google Scholar 

  3. Hu, X.D., Chen, P.D., Hwang, F.K.: A new competitive algorithm for the counterfeit coin problem. Inform. Proc. Letters51, 213–218 (1994)

    Google Scholar 

  4. Li, A.P.: On the conjecture at two counterfeit coins. Discrete Math. (to be published)

  5. Li, A.P.: Three counterfeit coins problem. J. Comb. Theory Ser. A (to be published)

  6. Li, A.P., Lin, V.P.: Four counterfeit coins problem. Bull. Sci. China (to be published)

  7. Li, A.P.: Some results on weighing problems. Manuscript

  8. Pyber, L.: How to find many counterfeit coins?. Graph. Comb.2, 173–177 (1986)

    Google Scholar 

  9. Tošić, R.: Two counterfeit coins. Discrete Math.46, 295–298 (1983)

    Google Scholar 

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Authors and Affiliations

  1. II. Math. Institut, Freie Universität Berlin, Arnimallee 3, D-14195, Berlin, Germany

    Martin Aigner

  2. Institute of Applied Mathematics, Academia Sinica, 100080, Beijing, P.R. China

    Anping Li

Authors
  1. Martin Aigner
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  2. Anping Li
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Aigner, M., Li, A. Searching for counterfeit coins. Graphs and Combinatorics 13, 9–20 (1997). https://doi.org/10.1007/BF01202233

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  • DOI: https://doi.org/10.1007/BF01202233

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