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Using growth diagrams, we define a skew domino Schensted correspondence whichis a domino analogue of the skew Robinson-Schensted correspondence due to Saganand Stanley. The color-to-spin property of Shimozono and White is extended. Asan application, we give a simple generating function for the weighted sum ofskew domino tableaux, which is a generalization of Stanley's sign-imbalanceformula. The generating function gives a method to calculate the generalizedsign-imbalance formula. We also extend Sj{\"o}strand's theorems onsign-imbalance of skew shapes.

Skew domino Schensted algorithm and sign-imbalance