## Bijective studies of tableaux, matrices, and reverse plane partitions |

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begin Let bijective proof biletters biword bounded entries BUBBLE Burge correspondence column insertion column strict tableaux constructing corre define definition diagonal dihedral symmetries DOWNPATH element ENCODE end end evacuation operator example fact Ferrers diagram Figure fixed point Frobenius map Gansner Grassl HG(R Hillman Hillman-Grassl bijection Hillman-Grassl correspondence hook numbers horizontal segments induction integer inverse involution principle iterated k-tuple of paths Khuth lattice path lattice permutation left to right lemma lexicographic order main diagonal marked monoid multiset nonintersecting nonnegative integers nonnegative matrix Note NP(X number of column obtained off-diagonal one-one pair of tableaux PD and PU procedure Red(p Remmel reverse plane partition RJNSERT Roger Earl row and column row insertion Schensted sequence shape sign preserving bijection spondence tabloid theorem tion tuple UCSD UPPATH vertex vertical segments weight preserving Yamanouchi