Oscillating tableaux and nonintersecting lattice paths
โ Scribed by C. Krattenthaler
- Publisher
- Elsevier Science
- Year
- 1996
- Tongue
- English
- Weight
- 549 KB
- Volume
- 54
- Category
- Article
- ISSN
- 0378-3758
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper, we study ^-matroids induced by nonintersecting paths in a directed graph. The association between nonintersecting paths and ^-matroids is derived from Pfaffians. On the one hand, certain numbers of k-tuples of noninter-ลฝ . secting paths may often be expressed as a Pfaffian, while, on
A formula involving a difference of the products of four q-binomial coefficiems is shown to count pairs of nonintersecting lattice paths having a prescribed number of weighted turns. The weights are assigned to account for the location of the turns according to the major and lesser indices. The resu
Box-shaped tableaux and Jordan -Ho ยจ lder sequences are used to solve a problem of R . Stanley on the enumeration of maximal chains in rank-selected subposets of the two Fibonacci lattices Fib( r ) and Z( r ) , r ั 1 . Several tools for the analysis of box-tableaux are developed and bijections betw