- [0710.5611] Universal cycles for permutations🔍
- Universal Cycles for Permutations🔍
- Tackling the Minimal Superpermutation Problem🔍
- Universal cycles for permutation classes🔍
- British Combinatorial Bulletin 2010🔍
- On a Greedy Algorithm to Construct Universal Cycles for Permutations🔍
- Shortened Universal Cycles for Permutations🔍
- Products of Universal Cycles🔍
[0710.5611] Universal cycles for permutations
[0710.5611] Universal cycles for permutations - math - arXiv
A universal cycle for permutations is a word of length n! such that each of the n! possible relative orders of n distinct integers occurs as a cyclic interval ...
Universal Cycles for Permutations - arXiv
arXiv:0710.5611v1 [math.CO] 30 Oct 2007. Universal Cycles for Permutations. J Robert Johnson. School of Mathematical Sciences. Queen Mary ...
Universal Cycles for Permutations
The Cayley graph with generators σn. / σn-1 has alternating cycles of length four. If C is a Hamilton cycle, then the arcs on each 4-cycle satisfy: (i) both ...
... 0710.5611.pdf). A “universal cycle” is a cyclic ... universal cycles" makes the problem different than the "cyclic superpermutations".
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Multicolour Ramsey Numbers of Odd Cycles ... arXiv:0710.5611 [pdf, ps, other]. math.CO ... Abstract: A universal cycle for permutations is a word of length n!
Universal cycles for permutation classes - Archive ouverte HAL
We define a universal cycle for a class of $n$-permutations as a cyclic word in which each element of the class occurs exactly once as an $n$-factor.
... Permutations generated by stacks and deques. Ann. Comb. 14 (2010) 3-16. http ... Berestycki, N. Page 62. E. -cycles. Preprint. mergence of giant cycles ...
On a Greedy Algorithm to Construct Universal Cycles for Permutations
Abstract. A universal cycle for permutations of length n is a cyclic word or permutation, any factor of which is order-isomorphic to exactly one permu-.
Universal cycles for permutation classes - Hal-Inria
Abstract. We define a universal cycle for a class of n-permutations as a cyclic word in which each element of the class.
Shortened Universal Cycles for Permutations - Bernard Lidický
Abstract. Kitaev, Potapov, and Vajnovszki [On shortening u-cycles and u-words for permutations, Discrete. Appl. Math, 2019] described how to ...
Products of Universal Cycles - UCSD
LHM, HML, MLH, LMH, MHL, HLM. Thus, each of the six possible relative orders (or permutations) appears exactly once. This is an example of a universal cycle for ...
Shorthand Universal Cycles for Permutations - Alexander Holroyd
An SP-cycle nanb···nz is 'periodic' if its 'sub-permutations' a,b,...,z equal Π(n−1). We prove that periodic min-weight SP-cycles correspond to spanning trees ...
Shorthand Universal Cycles for Permutations - Computer Science
A shorthand universal cycle for permutations (SP-cycle) is a circular string of length n! whose substrings of length n-1 are the shorthand encodings of P(n).