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Efficient universal cycle constructions for weak orders

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Publication:785821
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DOI10.1016/j.disc.2020.112022zbMath1445.05007OpenAlexW3037080634MaRDI QIDQ785821

Joe Sawada, Dennis Wong

Publication date: 12 August 2020

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.disc.2020.112022


zbMATH Keywords

Gray codede Bruijn sequenceweak orderuniversal cyclesuccessor ruleCayley permutation


Mathematics Subject Classification ID

Permutations, words, matrices (05A05) Shift register sequences and sequences over finite alphabets in information and communication theory (94A55)


Related Items (2)

A universal cycle for strings with fixed-content (which are also known as multiset permutations) ⋮ Generating Gray codes for weak orders in constant amortized time


Uses Software

  • OEIS


Cites Work

  • Unnamed Item
  • Universal cycles of classes of restricted words
  • Greedy universal cycle constructions for weak orders
  • Research problems on Gray codes and universal cycles
  • Lexicographically least circular substrings
  • A framework for constructing de Bruijn sequences via simple successor rules
  • Universal Cycles for Weak Orders
  • A Successor Rule Framework for Constructing $k$ -Ary de Bruijn Sequences and Universal Cycles


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