We construct a universal cycle of n-permutations using n + 1 symbols and an equivalence relation based on differences. Moreover a complete family of universal cycles of this kind is constructed.
Universal cycles for combinatorial structures
โ Scribed by Fan Chung; Persi Diaconis; Ron Graham
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 836 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0012-365X
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โฆ Synopsis
Chung, F., P. Diaconis and R. Graham, Universal cycles for combinatorial structures, Discrete Mathematics 110 (1992) 43-59
In this paper, we explore generalizations of de Bruijn cycles for a variety of families of combinatorial structures, including permutations, partitions and subsets of a finite set.
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