Báo cáo toán học: " Enumeration of Varlet and Comer hypergroups" pptx

... ies of the hypergroups defined by J.C. Varlet [24] and S. Comer [3] that called here Varlet hypergroups and Comer hypergroups, respectively. Using the results of [1, 22] the electronic journal of ... determined by lattices introduced by Varlet and Comer, especially we enumerate Varlet and C omer hypergroups of orders less than 50 and 13, respectively. 1 Basic defi...

Ngày tải lên: 08/08/2014, 14:23

... number of tilings of half of a hexagon or half of a diamond, with dents at given places. This is not new: see [7] and [8]. 2. Express the number of tilings of the figure as a whole as a sum of squares ... matrix and M t is its transpose, then the determinant of MM t is equal to the sum of the squares of the k by k minors of M. The number of tilings of a (k, q, k)...

Ngày tải lên: 07/08/2014, 06:20

... 57. Middelhoff U, Reuter H, Breckling B: GeneTraMP, a spatio-temporal model of the dispersal and persistence of transgenes in feral, volunteer and crop plants of oilseed rape and related species. ... the introduction of Bt maize. Figure 1 depicts the distribution of the corn borer in the federal state of Brandenburg for the years 2005, 2006 and 2007. Some of the d...

Ngày tải lên: 20/06/2014, 20:20

... the proof of Theorem 1.1 is complete, and with this result at hand, we may now prove Theorem 1.2 and Theorem 1.5. Proof of Theorem 1.2. First, take a non-linear irreducible character χ of S n ;thus, χ ... 2 and four cases where it ends on 3, namely for 10, 50, 100 and 15.856.204. 4 Proofs of the main results We first give the proof of Theorem 1.1. Let λ =(λ 1 ,λ 2 , ,λ l ) be...

Ngày tải lên: 07/08/2014, 08:22

... Savage, and Her bert S. Wilf. The joint distribution of descent and major index over restricted sets of permutations. Annals of C o mbinatorics. to a ppear. [5] Jacques D´esarm´enien and Michelle ... descent set. 1 Definitio ns and examples Let [i, j] = {i, i + 1, . . . , j} and [n] = [1, n]. We think of [n] as being decomposed into blocks of lengths a 1 , . . . , a k , an...

Ngày tải lên: 07/08/2014, 21:21

... r α⊙β and r 2m = r 1 . . . 1  2m , m  1. We devote the next subsection to the proof of this theorem. 3.3 Equivalence of relations We say that the set of relationships A implies the set of relationships ... focus of our results, and hence we now establish some of its basic properties. the electronic journal of combinatorics 16 (2009), #R110 5 2.2 Preliminary pr operties...

Ngày tải lên: 08/08/2014, 01:20

... number of 1-edges and odd number of 2-edges; The perfect matchings in class 2 have odd number of 1- edges and even number of 2-edges; The perfect matchings in class 3 have even number of 1-edges and ... 3 Enumeration of perfect matchings of Q m,n,r 3.1 The sign of pfB(x 1 , x 2 ) In order to decide the sign of pfaffians of B(x 1 , x 2 )(x 1 , x 2 = ±1), we distinguis...

Ngày tải lên: 08/08/2014, 12:22

... so-called q -enumeration of ASM’s, which consists in counting ASM’s (or classes of symmetry of ASM’s) with respect to their number of −1 entries (to the number of orbits of −1 entries in the case of symmetric ... consequence of Equations (17) and (18) is that the total proportion of qQTASMs (of size 4N + 2) with two negative entries among the four central entries, is exa...

Ngày tải lên: 08/08/2014, 12:22

... leaves and a subset of permutations of the set {2, ¯ 2, 3, ¯ 3, . . . , n, ¯n}. This string of symbols is called the name of a cladogram. Deletion of the leaf labeled n corresponds to deletion of ... Tinhofer. Landscapes on spaces of trees. Journal of Applied Mathematics and Computation, 131(2–3):439– 459, September 2002. [3] Louis J. Billera, Susan P. Holmes, and Karen...

Ngày tải lên: 08/08/2014, 12:22