Báo cáo toán học: " Triangle Free Sets and Arithmetic Progressions – Two Pisier Type Problems'''''''' docx
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...
Báo cáo toán học: " Disconnected vertex sets and equidistant code pairs" pdf
... 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
}...
Báo cáo toán học: "Perfect dominating sets in the Cartesian products of prime cycles" docx
... 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...
Báo cáo toán hoc:"Composition of transpositions and equality of ribbon Schur Q-functions" docx
... 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...
Báo cáo toán học: "On the Entropy and Letter Frequencies of Ternary Square-Free Words" docx
... 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...
Báo cáo toán học: " On the first- and second-order statistics of the capacity " ppt
... 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...
Báo cáo toán học: " Strong convergence theorems and rate of convergence of multi-step iterative methods for continuous mappings on an arbitrary interval" pptx
... 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)...
Báo cáo toán học: " Integrated acoustic echo and background noise suppression technique based on soft decision" docx
... 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....
Báo cáo toán học: " Reference-free time-based localization for an asynchronous target" pot
... 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....