Báo cáo toán học: "Maximum Degree Growth of the Iterated Line Graph" pdf

... that the maximum degrees of all iterated line graphs, with the exception of paths, eventually attain the maximum growth rate of ∆ k+1 =2∆ k −2. In this paper, we say that a graph G has the Maximum ... following bounds for the maximum degree ∆ k and minimum degree δ k of the iterated line graph L k (G): 2 k (δ 0 − 2) + 2 ≤ δ k ≤ ∆ k ≤ 2 k (∆ 0 − 2) + 2. Thus,...

Ngày tải lên: 07/08/2014, 06:20

... S i is either the symbol X or a non- empty singleton subset of N (these are called coordinate coefficients). The degree of the monomial is the number of times the symbol X appears in the list S 1 , ... ···<A n .In other words, the function γ restricted to the standard n 2 -variable submatrices of v is the lift of an r-coloring γ  of the set  F({1, ,L})  n...

Ngày tải lên: 07/08/2014, 06:20

... extension of the Littlewood-Richardson rule [Z]. Taking the specialization λ = , we obtain the decomposition of s µ/ν into Schur functions; it is simpler than the traditional formulation of the Littlewood-Richardson rule ... b i free k + 1’s in row i of T , then there should be b i free k’s and a i free k + 1’s in row i of σ k (T ). In the following, T ≥j denotes the s...

Ngày tải lên: 07/08/2014, 06:23

... the proof of Theorem 5.2. Therefore, Q is exactly the battery tableau obtained in the proof of Theorem 5.2, and so we have χ λ , Γ (k,ν)  = 1. Note that by Corollary 5.1, condition (a) of Theorem ... R λ∪η . The next theorem follows from the results of [4, 6, 8, 10, 16, 23]. A summary of the relevant results in these papers and how they imply the following theorem is...

Ngày tải lên: 08/08/2014, 01:20

... of 40 g/L and a TOC of 13.2 g/L. Moreover, the liquors contain 0.3 g/L nitrogen and 65 mg/L phosphorus which assist the growth of the biogas-forming microbes. The pH value is in the range of ... 5.3 m 3 /h Volume of the collection container 25 m 3 Volume of the pre-chamber 10 m 3 Volume of the main fermenter 100 m 3 Volume of the post-fermenter 50 m...

Ngày tải lên: 20/06/2014, 21:20

... − 2 3  2π 2 − 46 3  . The fourth derivative of the HC on the argument n, and the common radius is of the form Figure 8 The HC and its derivative with the HC maximum location and optimum for the value of the degree ... 2)  . In general, the HC of the mth derivative of n can be defined on the basis of the pro- duct of polygamma (psi) polynomial of...

Ngày tải lên: 20/06/2014, 21:20

Ngày tải lên: 05/08/2014, 09:46

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

... n)-generated group. The motivation for this question came from the calculation of the genus of finite simple groups [26]. It can be shown that the problem of finding the genus of a finite simple group ... done while the authors were on a sabbatical lea ve. The first author expresses his thanks for the hospitality and facilities provided by the Department of Mathematics...

Ngày tải lên: 06/08/2014, 04:21