Báo cáo toán học: "A conjectured formula for Fully Packed Loop configurations in a triangle" doc

... journal of combinatorics 17 (2010), #R107 20 A conjectured formula for Fully Packed Loop configurations in a triangle Paul Zinn-Justin ∗† LPTMS (CNRS, UMR 8626), Univ Paris-Sud 91405 Orsay Cedex, ... “MISGAM” and ANR program “GIMP” ANR- 05-BLAN-0029-01. † The author wants to thank R. Langer for her participa tio n in the early stages of this project, J. Thap- per for...

Ngày tải lên: 08/08/2014, 12:22

... Recursion formulae generalizing Conjecture 2 In the same way as Conjecture 2 relates the number of FPL configurations for a certain link pattern, made of n simple arches, to the inclusive sum of all ... link pattern π a may be regarded as an involutive permutation on {1, ···, 2n}, with π a (i)=j foreacharchconnectingi and j. 3. The A n (π) as solutions of a linear problem The w...

Ngày tải lên: 07/08/2014, 08:20

... write P (A → E) for the number of paths starting at A and ending at E.Wesay that a family of paths is non-intersecting if no two paths in the family have a point in common. We can now state the announced ... configuration. When we think of the matching as being fixed, and when we consider all FPL configurations having this matching as associated matching, we shall also speak of th...

Ngày tải lên: 07/08/2014, 08:22

... 3.5 in the case that the geometric semilattice is the intersection lattice of a real a ne hyperplane arrangement. 4 Central hyperplane arrangements Let A be an essential arrangement of linear ... partition lattice Π n via a certain natural “splitting” procedure for permutations. This basis has very favorable properties ∗ Supported in part by G¨oran Gustafsson Foundation for Res...

Ngày tải lên: 07/08/2014, 08:22

... Met-Gly-Xaa-Ala-Ala- Ala-Ala-Ala-Ala-Ala (Myr–AGG1-3X 6A) or Met-Gly-Xaa-Ala-Ala-Ser-Ala-Ala-Ala-Ala (Myr–AGG1-3X6S). (B, C) Each of the 20 mRNAs corresponding to Myr–AGG1-3X 6A (B) or Myr–AGG1-3X6S ... myristoylation motifs Met-Gly-Xaa-Ala-Ala-Ala-Ala-Ala-Ala-Ala (Myr–AGG1-3X 6A) or Met-Gly-Xaa-Ala-Ala-Ser-Ala- Ala-Ala-Ala (Myr–AGG1-3X6S), with position 3 of each motif separately occupied b...

Ngày tải lên: 29/03/2014, 21:20

... for asymptotically nonexpansive mappings in Banach spaces. J. Math. Anal. Appl. 267, 444–453 (2002) [16] Noor, MA: New approximation schemes for general variational inequalities. J. Math. Anal. ... iterations for nonexpansive semigroups with generalized contraction in Banach spaces Rabian Wangkeeree ∗1,2 and Pakkapon Preechasilp 1 1 Department of Mathematics, Faculty of Science, Nar...

Ngày tải lên: 20/06/2014, 21:20

... Suzuki and Takahashi, Abbas and Rhoades, Pathak and Shahzad, Raja and Veazpour, Hicks and Rhoades and several other results existing in the literature. Mathematics subject classification (2010): ... Rhoades, BE: A Banach type fixed-point theorem. Math. Japon. 24, 327–330 (1979) 17. Pathak, HK, Shahzad, N: Fixed point results for generalized quasicontraction mappings in abstract metric s...

Ngày tải lên: 20/06/2014, 21:20

... setting, using a multidimensional version of Lagrange’s inversion formula due to Good [4]. On the other hand, Constantineau and J. Labelle provide a combinatorial proof in [3]. First of all, ... as well as some immediate corollaries and applications, in particular a new application to the enumeration of k-decomposable trees. A tree is called k-decomposable in this context if i...

Ngày tải lên: 07/08/2014, 13:21

... corre- spondence for the Klein-4 diagram algebras by giving a bijection between the diagrams in the basis Π k and pairs of vacillating tableau of same shape. As an application of the Robinson-Schensted correspondence ... acts diagonally on V ⊗k . This algebra was independently introduced by Martin [M] and named the Partition algebra. The main motivation for studying the partition alge...

Ngày tải lên: 07/08/2014, 21:20

... indices in a g iven class of graphs. As for n-vertex trees, it has been shown that the path has the maximal Hosoya index and the star has the minimal Hosoya index (see [12]). Hou [14] characterized ... et al. determined a sharp lower bound for the Hosoya index of quasi-tree graphs; see [20]. Liu and Lu characterized t he cacti graphs with minimal Hosoya index in [23]. Machnicka et...

Ngày tải lên: 08/08/2014, 12:22