Báo cáo toán học: "Around the Razumov–Stroganov conjecture: proof of a multi-parameter sum rule" pot

... dependence of the coefficients of P n as (rational) functions of the z i . Noting that the coefficients of the change of basis from the arches to the spin up/spin down are constants and in particular independent ... nothing but the sum of generators of the Temperley–Lieb algebra, acting on the Hilbert space of link patterns π, i.e. planar diagrams of 2n point...

Ngày tải lên: 07/08/2014, 08:22

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Ngày tải lên: 05/08/2014, 09:46

... characteristic and of the cardinal of K, and even in the case I L is not radical. In fact, if char(K)=2,then √ I L = I L sat , where the latter one is the lattice ideal associated to the saturated ... are generated by forms of degree at most 3, and their analytic spreads are 3. In this example, due to Theorem 2.1, we always have that the analytic spread of I L is 3 indepen...

Ngày tải lên: 06/08/2014, 05:20

... structure of a SOMA Let A be a SOMA(k, n). A subset B of A is called a subSOMA of A if and only if B is itself a SOMA. If B is a subSOMA of A then B is necessarily a SOMA(k  ,n)with 0≤k  ≤n,andwecallBasubSOMA(k  ,n)ofA. ... loss of generality, we may suppose that A 1 , ,A m are distinct, and each of A 1 , ,A m−1 is a SOMA(1,n)oraSOMA(2,n). Applying...

Ngày tải lên: 07/08/2014, 06:20

... k-permutation as a subpattern; i.e. m(k) ≤ k 2 . On the Stanley-Wilf conjecture for the number of permutations avoiding a given pattern Richard Arratia Department of Mathematics University of Southern ... for a permutation σ ∈S k ,thesetA(n, σ) of permutations τ ∈S n which avoid σ as a subpattern, and its cardinality, F (n, σ):= |A( n, σ) |. Recall that “τ contains σ” as...

Ngày tải lên: 07/08/2014, 06:22

... is k-separating if λ M (A) ≤ k. When equality holds here, A is said to be exactly k-separating. A partition (A, E A) is called a k-separation if A is k-separating and both |A| , |E − A| ≥k.Forn>1, ... 4: The matroids N 11 ,N 23 by Dharmatilake, in binary representations. Since the matroids of all these four graphs have branch-width greater than 3, the theorem gives the...

Ngày tải lên: 07/08/2014, 06:23

... abcacbacabacbcabacabcacbcabacbcacba (# a = 13, # b = 10, # c = 12) , w 2 = abcacbcabacbabcbacabcbabcabacbcacba (# a = 12, # b = 12, # c = 11) , w 3 = abcacbacabacbcabacabcbabcabacbcacba (# a = 13, # b = ... A n ,wehave A 0 = {λ}, A 1 = {a, b, c}, A 2 = {ab, ac, ba, bc, ca, cb}, A 3 = {aba, abc, aca, acb, bab, bac, bca, bcb, cab, cac, cba, cbc}, (1) and so on, with A ∗ =  n≥...

Ngày tải lên: 07/08/2014, 08:20

... obviously a bijection and it leaves invariant all the rows except the last one and the extra one because it is applied at the top of the diagrams as can be seen on figure 10. An important remark is that ... that it is invariant by reversal of all arrows and that it satisfies the ice rule i.e. there are as many outgoing arrows as incoming arrows. Since the Yang–Baxter equatio...

Ngày tải lên: 07/08/2014, 21:20

... characterization of flat spaces in a finite geometry and the uniqueness of the hamming and the macdonald codes. Journal of Combinatorial Theory, 1(1):96–104, 1966. [5] W. Cary Huffman and Vera Pless. Fundamentals ... prove Theorem 7. This author and Lucas Sabalka found a more general theorem [6], but they used a different proof technique. Theorem 7 is a generalization of T...

Ngày tải lên: 08/08/2014, 12:22

... Lei [10 ], Kang and Tian [11], Kang and Xu [12], Kang and Zhao [13], Xu and Kang [17] and Zhou and Chang [22, 23]. By their research and related results about large sets of Kirkman triple systems ... RGDD, if there exists a partition Γ = {P 1 , P 2 , · · · , P r } of B such that each part P i (called parallel cla s ses) is a partition of X. A GDD is called a transversal design i...

Ngày tải lên: 08/08/2014, 01:20