Affine Balanced Labellings

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Fomin, Greene, Reiner, Shimozono - Balanced labellings and Schubert polynomials - http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.12.163&rep=rep1&type=pdf
Edelman, Greene - Balanced tableaux - http://www.sciencedirect.com/science/article/pii/0001870887900636

When is an affine diagram connected? (classify using affine pattern avoidance)

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