Báo cáo toán học: "A formula for the bivariate map asymptotics constants in terms of the univariate map asymptotics constants" pps

... ∞) the electronic journal of combinatorics 17 (2010), #R155 4 A formula for the bivariate map asymptotics constants in terms of the univariate map asymptotics constants Zhicheng Gao ∗ School of ... p g (r) in terms of p g . 1 Introduction The concepts in this paragraph will be made precise in the following paragraphs. The parameters t g and...

Ngày tải lên: 08/08/2014, 12:23

... generated during the catabolism of nicotine. The identification of this enzyme reveals, for the first time, the metabolic fate of the pyrrolidine ring of nicotine during the pAO1-dependent nicotine catabolism ... determining the size of the native protein, was performed with the aid of a Mini-Maxi Ready Rack device, according to the suggestions of the suppl...

Ngày tải lên: 19/02/2014, 16:20

... d) with the following descriptions: 1) L(h, d) is a rooted tree of height h such that (i) The degree of o is d− 1 while the degree of every other vertex of G(h, d) is d. (ii) At level 0, there ... order of G [2]. The purpose of this paper is to establish the following formula |V | +  q∈V [d(q) − 2]l(v, q)=1 for any v ∈ V . Consequently, this enables us to evaluate...

Ngày tải lên: 06/08/2014, 05:20

... dots in the i-th column of the Ferrars graph of π.TheDurfee square of π is the largest square subarray of dots in the Ferrars graph of π.Letd(π)denotethesize(numberofrows)oftheDurfeesquareof π. The ... is obtained from π by deleting the first row and column in the Ferrars graph of π. Given the assumptions of the theorem, if P  (n, k, l)=∅ then either (1)...

Ngày tải lên: 07/08/2014, 06:20

... iff K = H ∩C for some (ordinary) convex subset of the plane H. Then β(C) equals the number of points in C which are interior to the convex hull of C. 10 the electronic journal of combinatorics 4 ... ⊆); in the latter case, the covering relation is reversed. In either case, these two feasible sets are joined by an edge in the Hasse diagram of (F ∅ , ⊆). This pa...

Ngày tải lên: 07/08/2014, 06:20

... 1.ThecaseP(x)=x n in Theorem 2.1 gives the unimodality of the bino- mial coefficients. Example 2 .For0 ≤ k ≤ m − 1, define b k (m):=2 −2m+k  2m − 2k m − k  m + k m  (a +1) k for 0 ≤ k ≤ m − 1. Then b k+1 (m) b k (m) = (m ... case of the Jacobi family, where the parameters α and β are not standard since they depend on m. These polynomials do not have real zeros, so their unimo...

Ngày tải lên: 07/08/2014, 06:20

... vectors for the sequences discovered by Lunnon. No proof of Theorem 2.2 will be given because the proof of Theorem 2.2 is ex- tremely similar to the proof of Theorem 2.1 given below. 3 Proof of Theorem ... for all i = n there exists an interval I i of coordinates such that I i is adjacent to the i th coordinate and d n (i)=  j∈I i d n (j). (1) We can think of the n...

Ngày tải lên: 07/08/2014, 06:22

... and Schelp [2] introduced an idea of measuring minimality with respect to size rather than order of the graphs G with G → (G 1 , G 2 ). Let e(G) be the number of edges of G. Then the size Ramsey ... least one vertex of V (F ) belongs to X k . Let M k be the number of type k copies of F in G. Then M =  s k=0 M k is the total number of copies of F . Notice that i...

Ngày tải lên: 07/08/2014, 13:21

... p      ≤ 1 2 20 √ εp  . The proof of this fact is inspired by the proof of Lemma 3.2 in [1]. First observe that the assumptions of the lemma together with Lemma 2.3 imply that σ p (Y ) ≤ ε 1/4 p 2 n. In order ... from the fact that ε ≤ µ 3 and µ ≤ 1/4). Now we are in a position to complete the proof of Theorem 2.2. Proof of the second implication of Theor...

Ngày tải lên: 07/08/2014, 15:22

... under it in each list. If D is a solution to the bipartite domination problem in T ∗ , where the partition consists of the two distinct copies of T , then the sources of the vertices of D in V constitute ... 1) vertices in the (m − t, m − 1)-ABMT given by (B 1 , A 1 \ {v}) in the induced lists L ∗ 2 , . . . , L ∗ m . Thus, the case v ∈ B is the worse of...

Ngày tải lên: 08/08/2014, 14:23