Báo cáo toán học: "Note on Gy Elekes’s conjectures concerning unavoidable patterns in proper colorings" pptx

... Szemer´edi, On sets of integers containing no k elements in arithmetic pro- gression, Acta Arithmetika 27, 199–245. Note on Gy. Elekes’s conjectures concerning unavoidable patterns in proper colorings Vera ... Classification numbers: 05C15, 05C55, 05C38 Abstract A counterexample is presented to Gy. Elekes’s conjecture concerning the existence of long 2-colored paths...

Ngày tải lên: 07/08/2014, 06:20

... for bringing to his attention the result of Erd˝os in [3], after reading a previous draft of this paper in which a weaker, asymptotic version of Erd˝os’ result was proved. References [1] Frein, ... k-generator obtained by taking a partition of [n] into classes of sizes as equal as possible, and taking the union of the power-sets of the classes. We generalize a th eorem of Alon and Frankl...

Ngày tải lên: 07/08/2014, 21:21

... Classification: 05C15, 05C40 Abstract In this note, we improve upon some recent results concerning the existence of large monochromatic, highly connected subgraphs in a 2-coloring of a complete graph. In ... with higher connectivity, we cannot hope to find such a spanning subgraph. In order to see this, consider the following example. All standard notation comes from [3]. Consider the...

Ngày tải lên: 08/08/2014, 12:23

... nonlinear property, the existence of strong solution remains open. For the infinite- dimensional dynamical systems, Sell [5] constructed the semiflow generated by the weak solution which ... uniform condition-(C) and weak continuous method to obtain uniformly asymptotical compactness in H 1 and H 2 , Yue and Zhong [11] investi- gated the attractors for autonomous and nonautonomous ... equat...

Ngày tải lên: 20/06/2014, 21:20

... mapping J : E → E ∗ is single- valued and uniformly continous on any bounded subset of E. (1) Let x n → q∈F(T). From conditions (ii)–(iv) in Lemma 2.1,wehaveβ n → 0, δ n → 0. Besides noticing y n − ... q    ,( ∗ ) for all n ≥ 0. (2) Conversely, if there exists a strictly increasing function φ :[0, ∞) → [0,∞), φ(0) = 0 satisfying condition ( ∗ ), then x n → q ∈ F(T). Proof. Since E is...

Ngày tải lên: 22/06/2014, 22:20

... ∞.Then{x n } converges strongly to q,asn −→ ∞ ; where q is the unique solution in Fix(S) to the variational inequality (2.2). Setting f is a contraction on C in Corollary 2.4, we have the following results ... converges to q and the proof is complete.  Setting f is a contraction on C in Theorem 2.1, we have the following results immediately. is continuous, strictly increasing and η...

Ngày tải lên: 20/06/2014, 21:20

... [23–27]. In type I complex, Ag ? binds to N7 positions of guanine and adenine. The metal ion forms interstrand bifunctional AT and GC adducts in type II complex and binds to other positions in type ... electrical property of DNA, other approa- ches may be needed. Chemical doping is a prominent strategy for controlling the electrical properties of materi- als, as demonstrated in semico...

Ngày tải lên: 22/06/2014, 01:20

... fields Factoring polynomials in Q[X] is a problem of interest in symbolic computation, as it has implications in the determination of partial fraction expansions and symbolic integration, for instance. ... (1) upon integrating along the contour C: |z| = 1 −n −1 . (In [7], Braaksma and Stark present an interesting discussion leading to refined estimates of the O(n −a ) bound.) 1.2 Log-pow...

Ngày tải lên: 07/08/2014, 13:21

... Hermite–Hadamard inequality. Both inequalities hold in the reversed direction if f is concave. In [1], Orlicz defined s-convex function in the second sense as following: Definition 1. A function f : R + → ... co-ordinated convex functions by using Lemma 1 and to establish some new Hadamard-type inequalities for co-ordinated s-convex functions by using Lemma 2. 2. Inequalities for co-ordin...

Ngày tải lên: 20/06/2014, 21:20

... minimax inequality and coincidence t heorem. A new concept on lower (upper) semi-continuous function is given and some new results on Fan-Browder’s fixed point theorem, Fan’s min- imax theorem and coincidence ... generalizations of Ky Fan’s minimax inequality and its applications to variational inequalities, Applied Mathematics and Mechanics. Yingyong Shuxue he Lixue 11 (1990), no. 11, 961...

Ngày tải lên: 22/06/2014, 22:20