Báo cáo toán hoc:" q-Counting descent pairs with prescribed tops and bottoms" docx

... inv X c (c), and each of the +’s to the left of x i contributes 1 to rlmaj X,Y (c). Thus it the electronic journal of combinatorics 16 (2009), #R111 12 q-Counting descent pairs with prescribed tops and ... Series, in “Encyclopedia of Math. and its Applications,” Cambridge Univ. Press, Cambridge, MA, 1990 . [4] J. Hall, J. Remmel, Counting Descents with Prescribed Tops...

Ngày tải lên: 08/08/2014, 01:20

... V \M, if vertices i and j are non-adjacent and e l · f(i) =0,e l · f(j) = 0 (hence, l is adjacent to i and j), then a vertex m ∈ M (m = l) exists such that e m · f(i) =0ande m · f(j) = 0 ... e i ∈ R k to vertex a i ∈ A and vector s j to vertex b j ∈ B for i = 1, ,k, j =1, ,n. To form edge set E(G): • join every vertex from A with every vertex from B; • join b i and b j from B...

Ngày tải lên: 07/08/2014, 08:20

... rectangles (bricks), type A with dimensions (a 1 , ,a d ) and type B with dimensions (b 1 , ,b d ). We want to use translates of such bricks to fill completely, and with no overlaps (except at ... part of the zero sets of the first and second terms in the left hand side of (2) respectively. But the intersection of these hyperplanes, on which set the left hand side vanishes, contains...

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