- Products of Universal Cycles🔍
- De Bruijn Sequence and Universal Cycle Constructions🔍
- 1154|05|731 Amelia Cantwell* 🔍
- Graph universal cycles of combinatorial objects🔍
- Universal cycles of k|subsets and k|permutations🔍
- Research problems on Gray codes and universal cycles🔍
- Novel universal cycle constructions for a variety of combinatorial ...🔍
- Universal Cycles for Weight|Range Binary Strings🔍
Graph Universal Cycles of Permutations and Set Partitions
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-.
De Bruijn Sequence and Universal Cycle Constructions
Order n n. Constructing universal cycles for shorthand permutations via cycle joining ... set of all shorthand permutations of order n n . For example,. SP(4)=123 ...
1154-05-731 Amelia Cantwell* ([email protected]) and ...
permutation graphs of elements of Sn can be placed in a graph universal cycle. ... are used as starting points for graph universal cycles of set partitions. ( ...
Graph universal cycles of combinatorial objects - X-MOL
Permutations are represented via their permutation graphs, and set partitions through disjoint unions of complete graphs. References Full text Share Save.
Universal cycles of k-subsets and k-permutations - Semantic Scholar
Universal cycles of (n-1)-partitions of an n-set · Karel CasteelsB. Stevens ... Graph Theory with Applications · E. LloydJ. BondyU. Murty. Mathematics. 1976.
Research problems on Gray codes and universal cycles
Permutations, permutation with ties, and set partitions are other combinatorial objects that can be represented by words. Similar overlap graphs can be ...
Novel universal cycle constructions for a variety of combinatorial ...
A universal cycle for an arbitrary set ... permutations, partitions, subsets, multisets, labeled graphs, various functions and passwords.
Universal Cycles for Weight-Range Binary Strings - SpringerLink
Casteels, K., Stevens, B.: Universal cycles for (n − 1)-partitions of an n-set. ... cycle for the (n − 1)-permutations of an n-set. ACM Transactions on ...
Universal Cycles for Weak Orders | SIAM Journal on Discrete ...
... permutations, partitions, vector spaces, and designs. One generalization of universal cycles, which require almost complete overlap of consecutive words, is ...
Partition a graph into node-disjoint cycles
Put another way, "The edge set of a graph can be partitioned into cycles if and only if every vertex has even degree." My Problem: I wonder ...
#2727 - Universal cycles for permutation classes
Keywords: Universal cycles,Restricted permutations,Eulerian circuits,DeBruijn graphs,[MATH.MATH-CO] Mathematics [math]/Combinatorics [math.CO],[INFO.INFO-DM] ...
Shorthand Universal Cycles for Permutations - Alexander Holroyd
... cycle in Ξ(n) is illustrated in Figure 3 (b). A cycle partition of Ξ is a set of directed cycles in which each node appears in exactly one directed cycle.
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 ...
Universal Cycles for Weak Orders | SIAM Journal on Discrete ...
... permutations, partitions, vector spaces, and designs. One generalization of ... Graph universal cycles: Compression and connections to universal cycles.
Sofia Goncalves Mentor: Alex Wilson Department of Mathematics ...
Universal Cycles of Set Partitions. the electronic journal of combinatorics ... o The graph has an Eulerian circuit because each vertex has an equal ...
On Universal Cycles of Labeled Graphs - EuDML
partitions , and certain classes of functions are well - studied in ... cycle of a set of lab eled graphs to finding a U - cycle of an appropriately ...
The derangement graph on all permutations is defined as the graph whose vertex set ... Graph Universal Cycles of Permutations and Set Partitions. Dorothea Grace ...
Universal cycles for weight-range binary strings
Universal cycles for (n−1)-partitions of an n-set. Discrete Mathematics ... An explicit universal cycle for the (n − 1)-permutations of an n-set. ACM ...
On a Greedy Algorithm to Construct Universal Cycles for Permutations
graph and then dealing with partially ordered sets. In this paper, we offer ... permutations of an n-set. ACM Trans. Algorithms 6 (2010) 3, Art. 45,. 12 ...
On universal partial words for word-patterns and set partitions
In [6] different ways to shorten u-cycles and u-words for permutations were considered. ... Such a u-cycle defines a Hamiltonian graph in the respective ...