Báo cáo toán học: "Symmetric bowtie decompositions of the complete graph" ppsx

... divisor of p n − 1. If (v − 1)/q ≡ 0 (mod 12), then there is no bowtie decomposition of K v which is invariant with respect to G. Proof. We identify the vertices of the complete graph with the elements ... 1. The coset G − ρ consists of the permutations on Z v of the form x → −x + i + 1. Each element o f G − ρ is a reflection about the axis passing through th...

Ngày tải lên: 08/08/2014, 12:22

... − 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 t...

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

... 13, 1994. Abstract. Bounds on the number of simple zeros of the derivatives of a function are used to give bounds on the number of distinct zeros of the function. The Riemann ξ-function is defined ... generically, the left side of (7) equals N (j) s (T ). In other words, the zeros of the derivatives of a generic function are all simple, except for those which ar...

Ngày tải lên: 07/08/2014, 06:20

... subset of [d] × [d](where[d]isdefinedtobe{1, 2, ,d})andtherook numbers r B k of a board are the number of subsets of B of size k such that no two elements have the same first coordinate or the same ... ···(x−n+1). Then we have the following reciprocity theorem. Theorem. For any board B ⊂ [d] × [d], R(B; x)=(−1) d R(B; − x − 1). The existing proofs derive this as a corollary...

Ngày tải lên: 07/08/2014, 06:20

... 2. Thus, the conjecture states that there exists an integer K such that, for all k ≥ K, L k (G) possesses the MDGP. The focus of this paper is to present a proof of this conjecture. In the following ... of k gener- ates a component of k+1 for k ≥ J 1 , and every component of k+1 is generated by exactly one component of k . Proof. Let c k denote the number of components...

Ngày tải lên: 07/08/2014, 06:20

... the right of Q  . In the particular case of y = 0the rise step which must be changed into fall step is the left side of the triangle, and the rise step that has to be added at the beginning of ... be the ordinate of the rightmost point in the path having least ordinate. From each of the points in the set {(2n +2,q+i−0.5)|1 ≤ i ≤ y +1} draw a horizontal ray...

Ngày tải lên: 07/08/2014, 06:20