Signed differential posets and sign-imbalance
Tài liệu tham khảo
Fomin, 1988, Generalized Robinson–Schensted–Knuth correspondence, J. Sov. Math., 41, 979, 10.1007/BF01247093
Fomin, 1994, Duality of graded graphs, J. Algebraic Combin., 3, 357, 10.1023/A:1022412010826
Fomin, 1995, Schensted algorithms for dual graded graphs, J. Algebraic Combin., 4, 5, 10.1023/A:1022404807578
Lam, 2004, Growth diagrams, domino insertion and sign-imbalance, J. Combin. Theory Ser. A, 107, 87, 10.1016/j.jcta.2004.03.010
Reifergerste, 2004, Permutation sign under the Robinson–Schensted–Knuth correspondence, Ann. Comb., 8, 103, 10.1007/s00026-004-0208-4
Ruskey, 1992, Generating linear extensions of posets by transpositions, J. Combin. Theory Ser. B, 54, 77, 10.1016/0095-8956(92)90067-8
Sjöstrand, 2005, On the sign-imbalance of partition shapes, J. Combin. Theory Ser. A, 111, 190, 10.1016/j.jcta.2004.12.001
Sjöstrand, 2007, On the sign-imbalance of skew partition shapes, European J. Combin., 28, 1582, 10.1016/j.ejc.2006.08.013
Stanley, 1988, Differential posets, J. Amer. Math. Soc., 1, 919, 10.1090/S0894-0347-1988-0941434-9
Stanley, 1990, Further combinatorial properties of two Fibonacci lattices, European J. Combin., 11, 181, 10.1016/S0195-6698(13)80072-8
Stanley, 2005, Some remarks on sign-balanced and maj-balanced posets, Adv. in Appl. Math., 34, 88, 10.1016/j.aam.2003.12.002
Stanley, 1999
Varvak, 2005, Rook numbers and the normal ordering problem, J. Combin. Theory Ser. A, 112, 292, 10.1016/j.jcta.2005.07.012
White, 2001, Sign-balanced posets, J. Combin. Theory Ser. A, 95, 1, 10.1006/jcta.2000.3146