On the Number of Generators for Transeunt Triangles

Abstract

A transeunt triangle of size n consists of (n+1)x(n+1)x(n+1) 0's and 1's whose values are determined by the sum modulo 2 of two other local values. For a given n, two transeunt triangles of size n can be combined using the element-by-element modulo 2 sum to generate a third transeunt triangle. We show that, for large n, the 1/3(2n+1) transeunt triangles of size n can be generated from a set of only n/3 generator transeunt triangles.

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Document Details

Document Type
Technical Report
Publication Date
Nov 30, 1999
Accession Number
ADA605502

Entities

People

  • G. W. Dueck
  • J. T. Butler
  • S. N. Yanushkevich
  • V. P. Shmerko

Organizations

  • Naval Postgraduate School

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  • Abstracts
  • Automata
  • Canada
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  • Generators
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  • Mathematics
  • New Brunswick
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  • Triangles
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Fields of Study

  • Mathematics

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