17 search results - page 1 / 4 » Singletons and adjacencies of set partitions of type B |
DM
2011
13 years 8 days ago
2011
We show that the joint distribution of the number of singleton pairs and the number of adjacency pairs is symmetric over the set partitions of type Bn without zero-block, in analo...
EJC
2008
13 years 3 months ago
2008
Let be a G-symmetric graph, and let B be a nontrivial G-invariant partition of the vertex set of . This paper aims to characterize (, G) under the conditions that the quotient gr...
COMBINATORICS
1999
13 years 5 months ago
1999
A symmetric group action on the maximal chains in a finite, ranked poset is local if the adjacent transpositions act in such a way that (i, i + 1) sends each maximal chain either ...
DM
2008
13 years 5 months ago
2008
Difference Systems of Sets (DSS) are combinatorial configurations that arise in connection with code synchronization. A method for the construction of DSS from partitions of cycli...
DM
1998
13 years 5 months ago
1998
We give a counterexample to a conjecture by Wild about binary matroids. We connect two equivalent lines of research in matroid theory: a simple type of basis-exchange property and ...