Báo cáo toán học: "Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls" ppsx

... properties of the set of the hook numbers for some special families of (fixed) skew -Young diagrams (Theorem1.2). The problem appeared in the study of the hook formula for various kinds of Young diagrams. ... problem appeared in the study of the hook formula for various kinds of Young diagrams. The proofs are based on properties of shifted Schur functions, due t...

Ngày tải lên: 07/08/2014, 06:20

... δ). We establish these values in Sections 2, 3 and 4. TIGHT UPPER BOUNDS FOR THE DOMINATION NUMBERS OF GRAPHS WITH GIVEN ORDER AND MINIMUM DEGREE W. Edwin Clark University of South Florida Tampa, ... y.IfA⊆V then we let A denote the subgraph of G induced by A. Table 1 contains the value of γ(n, δ) for n ≤ 16, 0 ≤ δ ≤ n − 1 if the value is known, ot...

Ngày tải lên: 07/08/2014, 06:20

... of Connectedness and the Distribution of Number of Components Jason P. Bell Department of Mathematics University of California, San Diego La Jolla, CA 92903-0112, USA (email: jbell@math.ucsd.edu) Edward ... depends on the type of map, and A depends on both the type of map and the surface. See [22] for a proof of (7) for the unrooted case an...

Ngày tải lên: 07/08/2014, 06:20

... associated with strips of Young diagrams, Adv. in Math. 41 (1981), 115–136. ASYMPTOTICS OF THE NUMBER OF k-WORDS WITH AN -DESCENT Amitai Regev ∗ Department of Mathematics The Pennsylvania State ... −1)! Standard and Semistandard Tableaux. Let λ  n (i.e. λ is a partition of n). A tableau of shape λ, filled with 1, ···,n, is standard if the numbers in it are in...

Ngày tải lên: 07/08/2014, 06:22

... graph of order n with domination number at least 3 and minimum degree δ satisfying n −2 √ n −4 ≤ δ ≤ n − √ 2 √ n. Tight Upper Bounds for the Domination Numbers of Graphs with Given Order and Minimum ... combinatorics 7 (2000), #R58 19 [2] W. Edwin Clark and Larry A. Dunning, Tight Upper Bounds for the Domination Numbers of Graphs with...

Ngày tải lên: 07/08/2014, 06:22

... electronic journal of combinatorics 9 (2002), #R21 10 On counting permutations by pairs of congruence classes of major index H ´ el ` ene Barcelo and Robert Maule Sheila Sundaram Department of Mathematics ... give a constructive proof of an equivalent restatement of Propo- sition 2.5, by looking at the circular classes of permutations τ ∈ S n which fix n. Not...

Ngày tải lên: 07/08/2014, 06:23

... behavior of f(n, p, q) between the linear and quadratic orders of magnitude, so for q lin ≤ q ≤ q quad . In particular we show that that we can have at most log p values of q which give a linear ... denotes the parity of the natural number n,soitis1ifn is odd and 0 otherwise. 1.2 Edge colorings with at least q colors in every subset of p vertice...

Ngày tải lên: 07/08/2014, 07:21

... electronic journal of combinatorics 10 (2003), #R40 10 Asymptotics of Permutations with Nearly Periodic Patterns of Rises and Falls Edward A. Bender Department of Mathematics University of California, ... N a N b ···N z .Equivalently,we can work with T −1 and thus deal with eigenfunctions of the differential operators N −1 d and N −1 u ,whichared/dx and −d/...

Ngày tải lên: 07/08/2014, 08:20

... Bower and Michael: if a d-dimensional rectangular box can be tiled using translates of two types of rectangular bricks, then it can also be tiled in the following way. We can cut the box across ... our box by translations. All rectangles that appear in this note are axis-aligned. Bower and Michael [1] recently showed the following nice result. A hyperplane cut is a separat...

Ngày tải lên: 07/08/2014, 08:20

... the proof of Lemma 2 in our proof of Theorem 1, we will include the full proof of Lemma 2 there. As examples of these lemmas, for the symmetric group, which has m = n(n − 1)/2 roots, the asymptotic ... covariance form of X.LetY N be the sum of N independent copies of X. For any vector v,letp(v) be the probability for the random walk, and let q(v) the...

Ngày tải lên: 07/08/2014, 08:22

... for example. the electronic journal of combinatorics 14 (2007), #R37 9 A combinatorial representation with Schrăoder paths of biorthogonality of Laurent biorthogonal polynomials Shuhei Kamioka ∗ Department ... certain kinds of Schrăoder paths, which imply orthogonality and biorthogonality of LBPs. 1 Introduction and preliminaries Laurent biorthogonal polynomial...

Ngày tải lên: 07/08/2014, 15:22

... case of 2– watermelons with a wall. ã In appendix A, we summarize background information on – Stirling’s approximation, – certain residues and values of the gamma and zeta function, – a certain ... journal of combinatorics 14 (2007), #R64 11 Asymptotics of the average height of 2watermelons with a wall. Markus Fulmek Fakultăat făur Mathematik Universităat Wien N...

Ngày tải lên: 07/08/2014, 15:23

... weight of a piece the electronic journal of combinatorics 15 (2008), #R76 17 A combinatorial derivation with Schrăoder paths of a determinant representation of Laurent biorthogonal polynomials Shuhei ... interpretation [2] of Jacobi type continued fractions (J-fractions), a combinatorial interpretation in terms of Motzkin and Favard paths. Specifically h...

Ngày tải lên: 07/08/2014, 21:20

... X u )-DS of G. Hence, γ(G u ; X u ) ≤ |D v | + 1 = γ(G v ; X v ) + 1. ✷ the electronic journal of combinatorics 18 (2011), #P12 34 A new bound on the domination number of graphs with minimum degree ... is of interest to determine upper bounds on the domination number of a graph. In 1989, McCuaig and Shepherd [12] presented the beautiful result that...

Ngày tải lên: 08/08/2014, 12:23

... 9:35 http://www.annals -general- psychiatry.com/content/9/1/35 Page 2 of 9 aripiprazole in a general outpatient psychiatric practice setting and to evaluate the effectiveness of aripiprazole in a Taiwanese patient ... effectiveness in the management of patients with schizophrenia or schizoaffective disorder in a general psychiatric out...

Ngày tải lên: 09/08/2014, 01:21