Skip to main content
SpringerLink
Log in

Pictures from Mongolia. Extracting the Top Elements from a Partially Ordered Set

  • Published:
Theory of Computing Systems Aims and scope Submit manuscript

Abstract

You are back from that very long, marvellous journey. You have a thousand pictures, but your friends and relatives will stand just a few dozens. Choosing is a painful process, in particular when you cannot decide between the silent vastness of that desert and the idyllic picture of that tranquil, majestic lake. We are going to help.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Boldi, P., Chierichetti, F., Vigna, S.: Pictures from Mongolia—partial sorting in a partial world. In: Proceedings of FUC with Algorithms 2007. Lecture Notes in Computer Science, vol. 4475, pp. 66–77. Springer, Berlin (2007)

    Chapter  Google Scholar 

  2. Cowan, T.A., Fishburn, P.C.: Foundations of preference. In: Essays in Honor of Werner Leinfellner, pp. 261–271. Reidel, Dordrecht (1988)

    Google Scholar 

  3. Daskalakis, C., Karp, R.M., Mossel, E., Riesenfeld, S., Verbin, E.: Sorting and selection in posets. Computing Research Repository (CoRR) (July 2007). Available at http://arxiv.org/pdf/0707.1532

  4. Dwork, C., Kumar, R., Naor, M., Sivakumar, D.: Rank aggregation methods for the web. In: WWW ’01: Proceedings of the 10th International Conference on World Wide Web, pp. 613–622. ACM, New York (2001)

    Chapter  Google Scholar 

  5. Erné, M.: Struktur- und Anzahlformeln für Topologien auf endlichen Mengen. Manuscripta Mathematica 11, 221–259 (1974)

    Article  MATH  MathSciNet  Google Scholar 

  6. Fagin, R., Kumar, R., Sivakumar, D.: Efficient similarity search and classification via rank aggregation. In: SIGMOD ’03: Proceedings of the 2003 ACM SIGMOD International Conference on Management of Data, pp. 301–312. ACM, New York (2003)

    Chapter  Google Scholar 

  7. Faigle, U., Turán, G.: Sorting and recognition problems for ordered sets. SIAM J. Comput. 17(1), 100–113 (1988)

    Article  MATH  MathSciNet  Google Scholar 

  8. Kleitman, D.J., Rothschild, B.L.: Asymptotic enumeration of partial orders on a finite set. Trans. Am. Math. Soc. 205, 205–220 (1975)

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Dipartimento di Scienze dell’Informazione, Università degli Studi di Milano, via Comelico 39/41, 20135, Milano, MI, Italy

    Paolo Boldi & Sebastiano Vigna

  2. Dipartimento di Informatica, Sapienza Università di Roma, via Salaria 113, 00198, Roma, Italy

    Flavio Chierichetti

Authors
  1. Paolo Boldi
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Flavio Chierichetti
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Sebastiano Vigna
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Paolo Boldi.

Additional information

A preliminary version of this paper appeared in [1].

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boldi, P., Chierichetti, F. & Vigna, S. Pictures from Mongolia. Extracting the Top Elements from a Partially Ordered Set. Theory Comput Syst 44, 269–288 (2009). https://doi.org/10.1007/s00224-008-9113-2

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00224-008-9113-2

Keywords

Search

Navigation