, Volume 27, Issue 4, pp 439-463

First online:

Complexity measures of sign matrices

  • Nati LinialAffiliated withSchool of Computer Science and Engineering, Hebrew University Email author 
  • , Shahar MendelsonAffiliated withCentre for Mathematics and its Applications, The Australian National UniversityDepartment of Mathematics, Technion I.I.T
  • , Gideon SchechtmanAffiliated withDepartment of Mathematics, Weizmann Institute
  • , Adi ShraibmanAffiliated withDepartment of Mathematics, Weizmann Institute

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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.

Mathematics Subject Classification (2000)

68Q15 68Q17 46B07 68Q32