JCT
2008
13 years 4 months ago
2008
JCT
2008
13 years 4 months ago
2008
A quasi-polynomial is a function defined of the form q(k) = cd(k) kd + cd-1(k) kd-1 +
JCT
2008
13 years 4 months ago
2008
Factorizations of the cyclic permutation (1 2 . . . N) into two permutations with respectively n and m cycles, or, equivalently, unicellular bicolored maps with N edges and n whit...
JCT
2008
13 years 4 months ago
2008
We introduce a statistic pmaj(P) for partitions of [n], and show that it is equidistributed with cr2, the number of 2-crossings, over all partitions of [n] with given sets of mini...
JCT
2008
13 years 4 months ago
2008
A transitive decomposition of a graph is a partition of the edge set together with a group of automorphisms which transitively permutes the parts. In this paper we determine all t...
JCT
2008
13 years 4 months ago
2008
The enumeration of lattice paths in wedges poses unique mathematical challenges. These models are not translationally invariant, and the absence of this symmetry complicates both ...
JCT
2008
13 years 4 months ago
2008
Using classical transformations on the symmetric group and two transformations constructed in Fix-Mahonian Calculus I, we show that several multivariable statistics are equidistrib...
JCT
2008
13 years 4 months ago
2008
JCT
2008
13 years 4 months ago
2008
Given sets X and Y of positive integers and a permutation = 12