Báo cáo toán học: "On the Sn-modules generated by partitions of a given shape" doc

... journal of combinatorics 15 (2008), #R111 10 On the S n -modules generated by partitions of a given shape Daniel Kane 1 and Steven Sivek 2 1 Department of Mathematics, Harvard University dankane@math.harvard.edu 2 Department ... 2008 Mathematics Subject Classification: 05E10 Abstract Given a Young diagram λ and the set H λ of partitions of {1, 2, . . . , |λ|} of...

Ngày tải lên: 07/08/2014, 21:20

... 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 independently of the characteristic ... 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...

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

... 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 graphic (and cographic ... 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|...

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 = ... length n by 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, wit...

Ngày tải lên: 07/08/2014, 08:20

... 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 equation is invariant by change ... 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....

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 ... 1}-valued vectors with Hamming weight w in a k-dimensional subspace of F n . Ahlswede, Aydinian, and Khachatrian found a formula for M R [1]. Theorem 1 (Ahlswede...

Ngày tải lên: 08/08/2014, 12:22

... operators, followed by a global rotation of one half-turn. Each face receives the probability t i,j given by Eq. (3.6) at the intersection of the diagonal lines i and j, carrying the spectral parameters ... (3.8)). ItcanthenbeeasilyshownthatT n leaves the subspace generated by the π stable, and that via the embedding above its restriction is exactly q −4n times o...

Ngày tải lên: 07/08/2014, 08:22

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Ngày tải lên: 05/08/2014, 09:46

... [20]. The temporal behavior of the instantaneous channel capacity can be studied with the help of the LCR and ADF of the channel capacity. The LCR of the instantaneous channel capacity describes the ... properties of the instantaneous capacity c of N∗Nakagami-m channels are analyzed. For example, we have derived exact analytical expressions for the PDF, CDF, LC...

Ngày tải lên: 20/06/2014, 20:20