Báo cáo toán học: "On pattern-avoiding partitions" doc

... article as: Nikitin: On the interchannel interference in digital communication systems, its impulsive nature, and its mitigation. EURASIP Journal on Advances in Signal Processing 2011 2011:137. Submit ... originate at the ‘ smoothest ’,mostlinear parts of the modulating signal. The next section clarifies the origins of this impulsive nature of the out...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21

... between the LR-tableaux A of shape A and 1s in the top boxes of every column and arbitrary LR-tableaux D of shape D, where D is the skew diagram A with the top boxes of every column removed, simply ... A and B. A skew diagram is connected if it does not decay. A skew character whose skew diagram D decays into disconnected (skew) diagrams A, B is equivalent to the product...

Ngày tải lên: 07/08/2014, 15:22

... our theorems, proved in the context of partitions, imply new results about pattern-avoiding fillings of Ferrers shapes and pattern-avoiding ordered graphs. Apart from these results, we also present ... with exactly m blocks (see sequence A008277 in [22]). Sagan [21] has described and enumerated the pattern-avoiding classes P (n; π) for the five patterns π of length three. We summarize the...

Ngày tải lên: 07/08/2014, 15:23

... prove it for connected bridgeless graphs by induction on the number of 2-connected components. Let X be the set of vertices of a 2-connected component of G so that X contains only one cut- vertex, ... be singletons (and the rainbow connection number of singletons is 0). The following proposition is an important ingredient in the proof of Theorem 1.1. Proposition 2.2 If G is a 2-connected...

Ngày tải lên: 07/08/2014, 15:23

... (A(K)), and h. The object ensured by it must be equal to K and thus K  L. ✷ the electronic journal of combinatorics 15 (2008), #R75 5 On growth rates of permutations, set partitions, ordered graphs ... case of one-element set we write x < B instead of {x} < B. For a set X and k ∈ N we write  X k  for the set of all k-element subsets of X. Acknow...

Ngày tải lên: 07/08/2014, 21:20

... 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

... x + 2y ≡ 7 (mod 8). To see this, we only need to inspect when (−1) n+j is +1 and when it is −1. We leave the details to the reader. 3. Conclusions The partition functions contained in this paper ... intimately related to the arithmetic of Z[ √ 2]. Unfortunately we have little information on the combinatorial behavior o f these functions. We also mention that we may easily manipula...

Ngày tải lên: 07/08/2014, 21:21