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COMBINATORICS
2000
14 years 9 months ago
2000
Abstract. We introduce color-signed permutations to obtain a very explicit combinatorial interpretation of the q-Eulerian identities of Brenti and some generalizations. In particul...
COMBINATORICS
2002
14 years 9 months ago
2002
Inspired by the results of Baik, Deift and Johansson on the limiting distribution of the lengths of the longest increasing subsequences in random permutations, we find those limit...
COMBINATORICS
2002
14 years 9 months ago
2002
We investigate the numbers dk of all (isomorphism classes of) distributive lattices with k elements, or, equivalently, of (unlabeled) posets with k antichains. Closely related and...
COMBINATORICS
1999
14 years 9 months ago
1999
We present two symmetric function operators Hqt 3 and Hqt 4 that have the property Hqt mH(2a1b)(X; q, t) = H(m2a1b)(X; q, t). These operators are generalizations of the analogous ...
COMBINATORICS
2004
14 years 9 months ago
2004
In the 1960's, Tutte presented a decomposition of a 2-connected finite graph into 3-connected graphs, cycles and bonds. This decomposition has been used to reduce problems on...