Báo cáo toán học: " Triangle Free Sets and Arithmetic Progressions – Two Pisier Type Problems'''''''' docx

... triangles and |Z|≥ k−1 ·|Y \Q|.Then k−1 ·|Y \Q|≤|Z|≤µ(Y )= k ·|Y |. the electronic journal of combinatorics 9 (2002), #R22 18 Triangle Free Sets and Arithmetic Progressions – Two Pisier Typ ... three triangles and since |Y | = 6, there can be no point of degree 3. Any two points of S lie in at least two distinct triangles, and thus Y contains exactly 3 triangl...

Ngày tải lên: 07/08/2014, 06:23

... graph with vertex set V . Two disjoint subsets A and B of V are disconnected ifthereisnoedgebetweenAand B. We define Φ(G)tobethemaximumof  | A |·| B | for disconnected sets A and B in G. Suppose V ... Ahlswede’s result, but it is more general and it turns out to be sharp for some values of q, n and δ,andforq →∞ for any fixed n and δ. 2 Disconnected vertex sets Let V = { 1, ,v }...

Ngày tải lên: 07/08/2014, 06:20

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Ngày tải lên: 05/08/2014, 15:20

... Friedgut, and B. Sudakov. Graph products, Fourier analysis and spectral techniques. Geom. Funct. Anal., 14(5):91 3–9 40, 2004. [2] Gary Chartrand, Heather Gavlas, Robert C. Vandell, and Frank Harary. ... dominating sets; defining sets. 1 Introduction Let G and H be two graphs. The Cartesian product of G and H is a graph with vertices {(x, y) : x ∈ G, y ∈ H} where (x, y) ∼ (x...

Ngày tải lên: 07/08/2014, 13:21

... Theory Ser. A 91 (2000), 8 4–1 10. [3] L. Billera and N. Liu, Noncommutative enumeration in graded posets, J. Algebraic Combin. 12 (2000), 7–2 4. [4] L. Billera, H. Thomas and S. van Willigenburg, ... multiplicity -free products of Schur P -functions, Ann. Comb . 6 (2002), 11 9–1 24 . [2] N. Bergeron, S. Mykytiuk, F. Sottile and S. van Willigenburg, Non-commutative Pieri operator...

Ngày tải lên: 08/08/2014, 01:20

... are only a few square -free words in two letters, these are the empty word λ, the two letters a and b, the two- letter words ab and ba, and, finally, the three-letter words aba and bab. Appending any ... those two words inevitably results in a square, either of a single letter, or of one of the square -free two- letter words. However, there do exist infinite ternary square -fre...

Ngày tải lên: 07/08/2014, 08:20

... increased network coverage, enhanced mobility, and improved system performance. It has applications in wireless local area networks (WLANs) [4], cellular networks [5], ad-hoc networks [6,7], and hybrid networks ... enhancement through two- hop relaying in cellular radio systems, in Proc. IEEE Wireless Communications and Networking Conf. (WCNC 2002), vol 2, (Orlando, USA, Mar. 2002), pp...

Ngày tải lên: 20/06/2014, 20:20

... useful and crucial for our following results. Lemma 3.2 Let E be a closed interval on the real line and T : E → E be a con- tinuous and nondecreasing mapping such that F(T ) is nonempty and bounded ... u 1 > u 1 and Tx 1 > x 1 . By using (1.9), (1.11) and the same argument as in Case 1, we can show that x n ≥ u n for all n ≥ 1. We note that x 1 < L and by using (1.11)...

Ngày tải lên: 20/06/2014, 20:20

... Acoustic echo and noise control—a long lasting challenge. Proc. EUSIPCO. 94 5–9 52 (Sep. 1998) [3] S Gustafsson, R Martin, P Vary, Combined acoustic echo control and noise reduction for hands -free telephony. ... Signal Process. 64(1), 2 1–3 2 (1998) [4] SJ Park, CG Cho, C Lee, DH Youn, Integrated echo and noise canceler for hands -free applications. IEEE Trans. Circuits Syst. II....

Ngày tải lên: 20/06/2014, 20:20

... 35(12), 166 1–1 669 (1987) [20] Friedlander, B: A passive localization algorithm and its accurancy analysis. IEEE J. Ocean. Eng. 12(1), 23 4–2 45 (1987) [21] Chan, Y, Ho, K: A simple and efficient ... Electron. Syst. 20(2), 18 3–1 98 (1984) [3] Chandrasekhar, V, Seah, WK, Choo, YS, Ee, HV: Localization in underwater sensor networks: survey and challenges. In: Proc. ACM WUWNet, pp....

Ngày tải lên: 20/06/2014, 20:20