Impossibility results for weak threshold networks

Costas Busch, Marios Mavronicolas

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


It is shown that a weak threshold network (in particular, threshold network) of width w and depth d cannot be constructed from balancers of width p0, p1, . . . , pm-1, if w does not divide Pd, where P is the least common multiple of p0, p1, . . . , pm-1. This holds regardless of the size of the network, as long as it is finite, and it implies a lower bound of logp w on its depth. More strongly, a lower bound of logpmax w is shown on the length of every path from an input wire to any output wire that exhibits the threshold property, where pmax is the maximum among p0, p1, . . . , Pm-1.

Original languageEnglish (US)
Pages (from-to)85-90
Number of pages6
JournalInformation Processing Letters
Issue number2
StatePublished - Jul 28 1997
Externally publishedYes


  • Distributed computing
  • Impossibility results
  • Parallel processing

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Information Systems
  • Computer Science Applications


Dive into the research topics of 'Impossibility results for weak threshold networks'. Together they form a unique fingerprint.

Cite this