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Complexity measures of sign matrices

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Abstract

In this paper we consider four previously known parameters of sign matrices from a complexity-theoretic perspective. The main technical contributions are tight (or nearly tight) inequalities that we establish among these parameters. Several new open problems are raised as well.

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Authors and Affiliations

  1. School of Computer Science and Engineering, Hebrew University, Jerusalem, Israel

    Nati Linial

  2. Centre for Mathematics and its Applications, The Australian National University, Canberra, ACT, 0200, Australia

    Shahar Mendelson

  3. Department of Mathematics, Technion I.I.T, Haifa, 32000, Israel

    Shahar Mendelson

  4. Department of Mathematics, Weizmann Institute, Rehovot, Israel

    Gideon Schechtman & Adi Shraibman

Authors
  1. Nati Linial
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  2. Shahar Mendelson
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  3. Gideon Schechtman
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  4. Adi Shraibman
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Correspondence to Nati Linial.

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Linial, N., Mendelson, S., Schechtman, G. et al. Complexity measures of sign matrices. Combinatorica 27, 439–463 (2007). https://doi.org/10.1007/s00493-007-2160-5

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