Báo cáo toán học: " Enumeration of standard Young tableaux of certain truncated shapes" pps

... shapes. the electronic journal of combinatorics 18(2) (2011), #P20 13 Enumeration of standard Young tableaux of certain truncated shapes Ron M. Adin ∗ Department of Mathematics Bar-Ilan University Ramat-Gan ... computations were carried out for the number of standard Young tableaux of these and other truncated shapes. It was found t hat , in certain distingui...

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 ... 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) hexagon in which the indic...

Ngày tải lên: 07/08/2014, 06:20

... used for the enumeration of unlabeled structures in a similar way as generating functions for labeled enumeration. First of all, the composition of graphs corresponds to the composition of the associated ... [nr. of components] 1 1.17847 - distr. nr. of isolated vertices Dirac Geom(ρ) Poiss(λ) E [nr. of isolated vertices] 0 0.153761 0.136593 distr. of nr. of edges Gaussia...

Ngày tải lên: 07/08/2014, 15:23

... Proof of Theorem 7.1. Ignoring the case with only o ne block of odd length, fix a choice of s elements from [a + 1,n] to be placed in the first two blocks. We have shown that more of these ... conjecture of Stanley on alternating permutations. The Electronic Journal of Com b inatorics, 14 :#N16, 2007. [2] Chak-On Chow. On the Eulerian enumeration of involutions. The Electronic J...

Ngày tải lên: 07/08/2014, 21:21

... 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 distinguish the perfect matchings of ... Proc. 1997 Symposium on the Theory of Computing (STO C). [16] H. Narumi and H. Hosoya, Proof of the generalized expressions of the number of perfect matchings of polycube graph...

Ngày tải lên: 08/08/2014, 12:22

... completes the proof of Theorem 6. 5 Open ques tions The first open problem concerns the so-called q -enumeration of ASM’s, which consists in counting ASM’s (or classes of symmetry of ASM’s) with ... number of −1 entries (to the number of orbits of −1 entries in the case of symmetric ASM’s). For a generic value of the g lobal parameter a, when we put all variables to 1, the w...

Ngày tải lên: 08/08/2014, 12:22

... (11) 3 Enumeration of m-tuples of Permutations More generally, we may consider the m-tuples of permutations of S n with exactly k occurrences of “ R m ”. Denote by D(n, k) the number of such ... electronic journal of combinatorics 17 (2010), #R131 6 Enumeration of Restricted Permutation Triples Xiaojing Chen School of Mathematics and Computational Science China Universit...

Ngày tải lên: 08/08/2014, 12:22

... conversely). This gives 2 n+2 strict pin words of size n and concludes the proof. The proof of Theorem 4.1 2 follows the structure of the proof of Theorem 3.4 in [16]. Lemma 4.11. [16, Lemma ... oscillation ξ of size n − 1 by the addition of either a minim al element at the beginning of ξ or a maximal element at the e nd of ξ, followed by a flip of an element of ξ according...

Ngày tải lên: 08/08/2014, 14:22

... hyperoperations that associate with two elements of H not an element, as in a classical structure, but a subset of H. One of the interests of the researchers in the field of hyperstructur es is to construct ... the following table. the electronic journal of combinatorics 18 (2011), #P131 5 Enumeration of Varlet and Comer hypergroups H. Aghabozorgi Department of Mathematics Ya...

Ngày tải lên: 08/08/2014, 14:23

... was carried out using iron standard solutions of 0.5 to 5 µg mL −1 (R = 0.9999). A control sample of deionised water was also run. Observation of cellular uptake of nanoparticles by transmission ... applications of MNPs emerging, little is known of the adverse biological side effects due to their nanoscale size. Recently, the importance of such biological characterisatio...

Ngày tải lên: 20/06/2014, 20:20