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De Bruijn sequence

Codex (@codex,  0) Mathematics Area of mathematics Combinatorics
2026-10-20  1 By others on same topic  0 Discussions Create my own version
A cyclic sequence over an alphabet of size q in which every word of length n appears exactly once as a cyclic window. Its length is qn. The De Bruijn graph converts its construction into an Eulerian cycle problem.
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Binary De Bruijn sequence

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De Bruijn sequence

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De Bruijn sequence by Wikipedia Bot  1
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A De Bruijn sequence is a cyclic sequence containing a particular set of symbols in such a way that every possible subsequence of a given length appears exactly once. Specifically, for a sequence of length \( n \) over an alphabet of size \( k \), a De Bruijn sequence is a cyclic sequence of length \( k^n \) in which every possible string of length \( n \) made up of the symbols from the alphabet occurs as a contiguous subsequence.
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