Enumerative combinatorics
On mixed insertion, symmetry, and shifted young tableaux
Journal of Combinatorial Theory Series A
Journal of Algebraic Combinatorics: An International Journal
Splitting the Square of a Schur Function into its Symmetric and Antisymmetric Parts
Journal of Algebraic Combinatorics: An International Journal
Schensted Algorithms for Dual Graded Graphs
Journal of Algebraic Combinatorics: An International Journal
Journal of Combinatorial Theory Series A
Color-to-spin ribbon Schensted algorithms
Discrete Mathematics
Branching formula for q-Littlewood-Richardson coefficients
Advances in Applied Mathematics - Special issue on: Formal power series and algebraic combinatorics in memory of Rodica Simion, 1955-2000
On the sign-imbalance of partition shapes
Journal of Combinatorial Theory Series A
On the sign-imbalance of skew partition shapes
European Journal of Combinatorics
Signed differential posets and sign-imbalance
Journal of Combinatorial Theory Series A
Skew domino Schensted correspondence and sign-imbalance
European Journal of Combinatorics
On Kazhdan-Lusztig cells in type B
Journal of Algebraic Combinatorics: An International Journal
Combinatorics on permutation tableaux of type A and type B
European Journal of Combinatorics
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We study some properties of domino insertion, focusing on aspects related to Fomin's growth diagrams (J. Algebraic Combin. 3 (1994) 357; J. Algebraic Combin. 4 (1995) 5). We give a self-contained proof of the semistandard domino-Schensted correspondence given by Shimozono and White (Electron. J. Combin. 8 (2001)), bypassing the connections with mixed insertion entirely. The correspondence is extended to the case of a non-empty 2-core and we give two dual domino-Schensted correspondences. We use our results to settle Stanley's '2n/2' conjecture on sign-imbalance (preprint, math.CO/0211113, 2002) and to generalise the domino generating series of Kirillov et al. (C.R. Acad. Sci. Paris, Serie I 318 (1994) 395).