Some topological properties of bitonic sorters

Tsern-Huei Lee*, Jin Jye Chou

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


This paper proves some topological properties of bitonic sorters, which have found applications in constructing, along with banyan networks, internally nonblocking switching fabrics in future broadband networks. The states of all the sorting elements of an N x N bitonic sorter are studied for four different input sequences {a i} i·1 N, {b i} i·1 N, {c i} i·1 N, and {d i} i·1 N, where a i = i - 1, b i = N - i, and the binary representations of c i and d i, are the bit reverse of those of a i and b i, respectively. An application of these topological properties is to help design efficient fault diagnosis procedures. We present an example for detecting and locating single faulty sorting element under a simple fault model where all sorting elements are always in the straight state or the cross state.

Original languageEnglish
Article number713317
Pages (from-to)983-997
Number of pages15
JournalIEEE Transactions on Computers
Issue number9
StatePublished - Sep 1998


  • Bitonic sorter
  • Fault diagnosis
  • Monotonic sequence
  • Switching fabrics
  • Topological property

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