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Universal Cycle Packings and Coverings for k|Subsets of an n|Set


Universal Cycle Packings and Coverings for k-Subsets of an n-Set

A cyclic sequence of elements of [n] is an (n, k)-Ucycle packing (respectively, (n, k)-Ucycle covering) if every k-subset of [n] appears.

Universal Cycle Packings and Coverings for k-Subsets of an n-Set ...

A cyclic sequence of elements of [n] is an (n, k)-Ucycle packing (respectively, (n, k)-Ucycle covering) if every k-subset of [n] appears in this sequence at ...

Universal Cycle Packings and Coverings for k-Subsets of an n-Set

Abstract A cyclic sequence of elements of [n] is an (n, k)-Ucycle packing (respec- tively, (n, k)-Ucycle covering) if every k-subset of [n] ...

[PDF] Universal Cycle Packings and Coverings for k-Subsets of an n ...

Universal Cycle Packings and Coverings for k-Subsets of an n-Set · Michał Deͅbski, Zbigniew Lonc · Published in Graphs Comb. 1 November 2016 · Mathematics · Graphs ...

On Universal Cycles for k-Subsets of an n-Set

A universal cycle, or Ucycle, for k-subsets of $[ n ] = \{ 1, \ldots ,n \}$ is a cyclic sequence of $\begin{pmatrix} n \\ k \end{pmatrix}$ integers with the ...

On Universal Cycles for k-Subsets of an n-Set - ACM Digital Library

(2016)Universal Cycle Packings and Coverings for k-Subsets of an n-SetGraphs and Combinatorics10.1007/s00373-016-1727-632:6(2323-2337)Online publication ...

Universal Cycle Packings and Coverings for k ... - DataCite Commons

Dȩbski, M., & Lonc, Z. (2016). Universal Cycle Packings and Coverings for k-Subsets of an n-Set. Graphs and Combinatorics, 32(6), ...

[PDF] On universal cycles for multisets - Semantic Scholar

Universal Cycle Packings and Coverings for k-Subsets of an n-Set · Michał DeͅbskiZbigniew Lonc. Mathematics. Graphs Comb. 2016. TLDR. It is proved that if k is ...

An Inductive Approach to Constructing Universal Cycles on the k ...

For k ≥ 7, and for k = 6 when n and k are not relatively prime, Conjecture 1 remains open. ... Universal Cycle Packings and Coverings for k-Subsets of an n-Set.

Near-Universal Cycles for Subsets Exist | SIAM Journal on Discrete ...

Universal Cycle Packings and Coverings for k-Subsets of an n-Set. Graphs and Combinatorics, Vol. 32, No. 6 | 21 July 2016. Packing analogue of k -radius ...

Universal and Near-Universal Cycles of Set Partitions - NASA/ADS

... n$, and therefore that there exist universal packings of the partitions in ${\cal P}(n,k)$. An analogous result for coverings completes the investigation.

Graph universal cycles of combinatorial objects - ScienceDirect.com

A class of multiple edge subgraphs of Cn, which yields Theorem 2.6. (Gucycles for k-multisets of an n-set ∀k, n). • Permutation graphs on n vertices. This leads ...

De Bruijn Sequence and Universal Cycle Constructions

Universal cycle packings and coverings for k k -subsets of an n n -set. Graphs and Combinatorics, 32(6):2323–2337, Nov 2016. [EL84] T. Etzion and A. Lempel ...

Euler tours in hypergraphs - School of Mathematics

Lonc, Universal cycle packings and coverings for k-subsets of an n-set, Graphs. Combin. 32 (2016), 2323 2337. [9] A. Frieze and M ...

Universal and Near-Universal Cycles of Set Partitions

n, and therefore that there exist universal packings of the partitions in P(n, k). An analogous result for coverings completes the investigation. 1 Introduction.

On Universal Cycles for new Classes of Combinatorial Structures

For subsets, we show that a u-cycle exists for the $k$-subsets of an $n$-set if we let $k$ vary in a non zero length interval. We use this result to construct a ...

arXiv:1808.07720v2 [math.CO] 10 Mar 2020

Lonc, Universal cycle packings and coverings for k-subsets of an n-set, Graphs. Combin. 32 (2016), 2323–2337. [9] A. Frieze and M ...

Constructing k-ary Orientable Sequences with Asymptotically ...

Universal cycle packings and coverings for k-subsets of an n-set. Graphs and Combinatorics 32, 6. (Nov 2016), 2323–2337. 11. DOMARATZKI, M. Hairpin structures ...

Near-Universal Cycles for Subsets Exist

are omitted from the (n, k)-UCS packing. That is, the length of cycle ... Hurlbert, On Universal cycles for k-subsets of an n-set, SIAM J.

2 PACKING AND COVERING - CSUN

7 with problems concerning packing and covering with sequences of convex sets. 2.1 DENSITY BOUNDS FOR ARRANGEMENTS IN Ed. GLOSSARY. Convex body: A compact ...