41 citations · 48 across the 8 of their papers we have counts for
8 papers
A bijection proving the Aztec diamond theorem by combing lattice paths
Frédéric Bosio, Marc A. A. Van Leeuwen
We give a bijective proof of the Aztec diamond theorem, stating that there are domino tilings of the Aztec diamond of order . The proof in fact establishes a simi…
Some simple bijections involving lattice walks and ballot sequences
Marc A. A. Van Leeuwen
In this note we observe that a bijection related to Littelmann's root operators (for type ) transparently explains the well known enumeration by length of walks on (left…
Double crystals of binary and integral matrices
Marc A. A. van Leeuwen
We define a set of operations called crystal operations on matrices with entries either in {0,1} or in N. There are horizontal and vertical crystal operations, giving rise to two c…
Schur functions and alternating sums
Marc A. A. van Leeuwen
We discuss several well known results about Schur functions that can be proved using cancellations in alternating summations; notably we shall discuss the Pieri and Murnaghan-Nakay…
Spin-preserving Knuth correspondences for ribbon tableaux
Marc A. A. Van Leeuwen
The RSK correspondence generalises the Robinson-Schensted correspondence by replacing permutation matrices by matrices with entries in , and standard Young tableaux by sem…
Some bijective correspondences involving domino tableaux
Marc A. A. van Leeuwen
We define a number of new combinatorial operations on skew semistandard domino tableaux, which together with constructions introduced earlier by C. Carre and B. Leclerc, define an…