Báo cáo toán học: " Proof of the Alon-Tarsi Conjecture for n = 2r p" docx

... so els (n) =ols (n) . On the other hand, Alon and Tarsi [1] conjectured: Conjecture 1 (Alon-Tarsi) If n is even then els (n) =ols (n) . Equivalently, the sum of the signs of all L ∈ LS (n) is nonzero. ... odd, then AT (n) =0 and AT (n +1) =0 = AT( 2n) =0 . Together, these imply the truth of the Alon-Tarsi conjecture for n =2 r (p+1) for any r ≥ 0 and...

Ngày tải lên: 07/08/2014, 06:22

... describes the extension to more general link patterns for which the corresponding enumeration of FPL is known. Sect. 6 concludes. 2. Recurrence relations and their solution In [9], a certain number of ... is equal to the number of plane partitions in a hexagon of size a×b×c. This is a highly non-trivial check of the Razumov–Stroganov conjecture since these link patterns...

Ngày tải lên: 07/08/2014, 13:21

... Then the statement of the lemma is equivalent to the existence of a solution λ (S) ∈ R m of the system of linear equations Aλ (S) = b. By the well-known formula for the determinant of a Vandermonde ... Combinatorial Nullstellensatz, Electron. J. Combin. 16 (2009), #N9 ] one obtains a direct proof of the nonvanishing-version of Alon’s Combinatorial Nullstell...

Ngày tải lên: 08/08/2014, 11:20

... different conjecture fr om their well-known conjecture on Ramsey numbers for graphs with degree constraints. the electronic journal of combinatorics 18 (2011), #P27 5 Proof of the (n/ 2 n/ 2 − n/ 2) Conjecture ... P even . Then | P even | = (n − 1)/2 and |P odd | = (n − 3)/2. Let A ′ = A \ {v}; then |A ′ | = (n − 1)/2 = |P even |. All conditions of L...

Ngày tải lên: 08/08/2014, 12:23

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Ngày tải lên: 20/06/2014, 20:20

... Rayleigh fading channel at SNR = 15 dB with different 1 Performance of the audio signals transmission over wireless networks with the channel interleaving considerations Mohsen Ahmed Mahmoud ... convolutional interleaver enhances the waveform of the received audio signal more than the no interleaving scenario. In the last simulation of this section, the audio...

Ngày tải lên: 20/06/2014, 20:20

... refinements of the Heinz inequalities by using the previous lemma. In the following, we will use the following lemma to obtain several better refinements of the Heinz inequalities. The following ... invariant norms. We obtain refinements of the Heinz inequalities. In particular, our results refine some results given in Kittaneh. Keywords: refinements; Heinz inequality; convex f...

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, 15:20

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Ngày tải lên: 05/08/2014, 15:20