Báo cáo toán học: " Unimodality problems of multinomial coefficients and symmetric func Unimodality problems of multinomial coefficients and symmetric functiontion" pot

... assumed that p ≥ 3and2 ≤ q ≤  p 2  .We restrict our attention to the case when p and q are fixed and n tends to infinity. The study of f(n, p, q) leads to many interesting and difficult problems. For ... Let f(n, p, q) be the smallest number of colors needed for a (p, q)-coloring of K n . In [3] Erd˝os and Gy´arf´as studied this function if p and q are fixed and n tends to infi...

Ngày tải lên: 07/08/2014, 07:21

... factors. The first couple of important results of this kind are due to W.T. Tutte who gave necessary and sufficient conditions for the existence of 1-factors and f-factors. In the case of complete graphs, ... the realizability of a set of integers as degrees of the vertices of a simple g r aph. J. SIAM Appl. Math. 10 (1 962), 496–506. [7] S.L. Hakimi: On the degrees of the...

Ngày tải lên: 08/08/2014, 12:22

... demipotent is the sum of a non-zero ide mpotent part and a nilpotent part. That is, a ll eige nvalues of a diagram de mipotent are either 1 or 0. Proof. Assign a tot al ordering to the basis of ... 1-space of x, and, simlarly, b is in the 1-space of y. Then the 1-space of p is spanned by the 1-spaces of x and y, as desired. 7. Let M p , M x and M y be matrices for the act...

Ngày tải lên: 08/08/2014, 12:23

... control-command and train operation and exploitation. Driverless underground sys tems are one of the best examples of the use of such wireless radio system deployments based on WLAN, standards generally ... deviation of the error between measurements and simulationsof2.1 5and2 .55dBare,respectively, obtained. An error of about 2-3 dB highlights a quite good agreement between m...

Ngày tải lên: 20/06/2014, 21:20

... journal of combinatorics 18 (2011), #P73 5 Unimodality problems of multinomial coefficients and symmetric functions Xun-Tuan Su 1 , Yi Wang 2 ∗ 1,2 School of Mathematical Sciences Dalian University of ... object of the present paper is to generalize the above result for binomial coefficients to multinomial coefficients and symmetric functions. In §2 we give a general...

Ngày tải lên: 08/08/2014, 14:22

... positive solutions of (1.1), (1.2), and obtain the existence of positive solutions of (1.1) and (1.2). More- over, we can also obtain the existence of negative solutions of (1.1) and (1.2). Now, ... isacharacteristicvalueofT if there exists v Î E, v ≠ 0, such that v = μTv,i.e.,μ -1 is a nonz ero eigenvalue of T. Let r(T) denote the set of real characte ristic values of T...

Ngày tải lên: 20/06/2014, 20:20

... boundary value problems of ordinary differential equations (BVPs for short) arise in a variety of different areas of applied mathematics and physics. For example, the vibrations of a guy wire of a uniform ... section and composed of N parts of different densities can be set up as a multi-point boundary value problem [3]. Many problems in the theory of elastic stability ca...

Ngày tải lên: 20/06/2014, 20:20

... [9], Takah ashi and Zembayashi proved strong and weak converge nce theorems for finding a common element of the set of solutions of an equilibrium problem and the set of fixed points of a relatively ... inequalities and complementary problems coincide to fi nd a solution of the equilibrium problem. Various methods have been proposed to solve some kinds of equilibrium...

Ngày tải lên: 20/06/2014, 21:20

... y|| for all x, y Î H and s ≥ 0; (S4) for all x Î H, s ® T(s)x is continuous. We denote by Fix(T(s)) the set of fixed points of T(s)andbyFix(S)thesetofall common fixed points of S, i.e., Fix(S)=⋂ s ... convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems. Fixed Point Theory and Applications 2011 2011:101. Submit your man...

Ngày tải lên: 20/06/2014, 21:20

... cover monotone inclusion problems, saddle point problems, variational inequality problems, minimization problems, optimization problems, vector equilibrium problems, and Nash equilibria in noncooperative ... system of generalized mixed equilibrium problems 1 Introduction The theory of equil ibrium problems, the development of an efficient and implementa- ble iterative algor...

Ngày tải lên: 20/06/2014, 21:20