Universal and Near|Universal Cycles of Set Partitions

Universal and Near-Universal Cycles of Set Partitions

We study universal cycles of the set P(n,k) P ( n , k ) of k k -partitions of the set [n]:={1,2,…,n} [ n ] := { 1 , 2 , … , n } and prove that ...

Universal and Near-Universal Cycles of Set Partitions

An analogous result for coverings completes the investigation. 1 Introduction. A universal cycle, or ucycle, is a cyclic ordering of a set of objects C, each ...

[PDF] Universal and Near-Universal Cycles of Set Partitions

It is shown that there exist universal cycles of partitions of partition of the set $[n] into subsets of distinct sizes when $k$ is sufficiently smaller ...

Universal and Near-Universal Cycles of Set Partitions - ResearchGate

Abstract. We study universal cycles of the set P(n, k) of k-partitions of the set [n] := {1,2,...,n} and prove that the transition digraph ...

Universal and Near-Universal Cycles of Set Partitions | Scilit

We study universal cycles of the set of -partitions of the set and prove that the transition digraph associated with is Eulerian.

Graph universal cycles of combinatorial objects - ScienceDirect.com

Permutations are represented via their permutation graphs, and set partitions through disjoint unions of complete graphs. 1 Introduction. A somewhat loose ...

Universal cycles of -partitions of an -set | Request PDF - ResearchGate

Request PDF | Universal cycles of -partitions of an -set | In 1992 Chung, Diaconis and Graham generalized de Bruijn cycles to other combinatorial families ...

Graph Universal Cycles of Permutations and Set Partitions

Universal cycles are cyclic strings of elements which encode various combinatorial objects, such as permutations, in different "windows" along the code.

On Universal Cycles of Labeled Graphs - Greg Brockman

In order to define a universal cycle of graphs, we must first extend the notion of a “window.” Definition 1.1. Given a labeled graph G having vertex set V (G) = ...

On universal partial words for word-patterns and set partitions

Construction of u-words is often reduced to proving that certain graphs either have a Hamiltonian path (defined similarly to a Hamiltonian cycle where the ...

Universal cycles for combinatorial structures - UCSD Math

of de Bruijn cycles for a variety of families of combinatorial structures, including permutations, partitions and subsets of a finite set. 1. Introduction.

On Universal Cycles for new Classes of Combinatorial Structures

A universal cycle (u-cycle) is a compact listing of a collection of combinatorial objects. In this paper, we use natural encodings of these objects to show ...

Universal cycles of (n−1)-partitions of an n-set - ScienceDirect

Universal cycles have been investigated for permutations, partitions, k -partitions and k -subsets. In 1990 Hurlbert proved that there exists at ...

Shortened Universal Cycles for Permutations - arXiv

... universal cycles for other combinatorial objects such as permutations, sets, and set partitions. A universal word for F is the non-cyclic ...

Near-Universal Cycles for Subsets Exist

Abstract. Let S be a cyclic n-ary sequence. We say that S is a universal cycle. ((n, k)-Ucycle) for k-subsets of [n] if every such subset ...

Universal cycles of (n-1)-partitions of an n-set | Semantic Scholar

Semantic Scholar extracted view of "Universal cycles of (n-1)-partitions of an n-set" by Karel Casteels et al.

Universal cycles for (n-1)-partitions of AN n-set | ID: h128nf057 | Hyrax

Universal cycles for (n-1)-partitions of AN n-set.

Universal Cycles

Universal cycles are generalisations of De Bruijn sequences to other combinatorial structures such as permutations and partitions of a set. Although universal.

On universal partial words for word-patterns and set partitions

Moreover, in Table 3 we give examples of u-p-words for binary set partitions and 2-set partitions in the case of n = 6. ... Universal and near-universal cycles of.

Products of Universal Cycles - UCSD

wise, then the combinatorial object is the set of all permutations on k symbols. A variety of constructions have appeared: set partitions, ordered k-out-of-.