Báo cáo toán học: "Monomer-dimer tatami tilings of rectangular regions" pptx

... 2)) tilings and establishes (1) for odd n. 3.2 Fixed height tatami tilings In this section we show that for a fixed number of rows r, the ordinary generating function of the number of tilings of ... that the number of tatami tilings of an n × n square with n monomers is n2 n−1 . We also show that, for fixed-height, the generating fun ction for the number of tatami t...

Ngày tải lên: 08/08/2014, 14:23

... dihedral if every tile of τ is congruent to one of two fixed sets X and Y (prototiles of τ). We shall denote by Ω(X, Y ) the set, up to isomorphism, of all dihedral f -tilings of S 2 whose prototiles ... Introduction Spherical folding tilings or f -tilings for short, are edge-to-edge decompositions of the sphere by geodesic polygons, such that all vertices are of even valency...

Ngày tải lên: 07/08/2014, 21:20

... Combinatorial Structure of the Dihedral f -Tilings of the Sphere by Equilateral and Scalene Triangles with adjacency of type III In Table 2 is shown a complete list of all spherical dihedral f -tilings, whose ... d’Azevedo Breda, A Class of Tilings of S 2 , Geom. Dedicata, 44 (1992), 241– 253. [3] A. M. d’Azevedo Breda, P. S. Ribeiro and A. F. Santos, A Class of Spherical Dih...

Ngày tải lên: 07/08/2014, 21:21

Ngày tải lên: 05/08/2014, 15:20

... A  i .Now,thevaluesofc i for i ∈ S 0 are the values of R 0 in descending order; the values of c i for i ∈ S k are the values of L k in descending order; the values of c i for i ∈ B j are the values of L j in ... our sequence of the values in L i and R i are disjoint subsets of [s i − k +1,s i + k − 2]; let B i be the set of positions of the values in L i ,andletB  i be the...

Ngày tải lên: 07/08/2014, 07:21

... journal of combinatorics 16 (2009), #R30 9 Proof. The first formula is clear. We prove the second formula. The proof is an analogue of the proof of Lemma 1 in [21]. We count the paths of length ... proof of Theorem 1, and discussed three different zeta functions of any graph. Various proofs of Bass’ theorem were known. Kotani and Sunada [15] proved Bass’ theorem by using the prope...

Ngày tải lên: 07/08/2014, 21:21

... journal of combinatorics 16 (2009), #R69 4 1 Introduction Let n ≥ 2 be an integer and [n] := {1, 2, . . . , n}. By 2 [n] we denote the f amily of all subsets of [n] and by  [n] k  the fa mily of ... show that G is isomorphic to one of the graphs listed in the theorem. According to (10) in the proof of Theorem 1 , (13) is equivalent to the electronic journal of combinatorics 16...

Ngày tải lên: 07/08/2014, 21:21

... journal of combinatorics 6 (1999), #R14 As a warm-up in using 2-adic methods, and for the sake of completeness, we will prove that that number of tilings of a 2n × 2n square really is of the form ... valuation of each factor, and thus of the entire product. Let ζ be a primitive (2n + 1)-st root of unity, and define α i,j = ζ i + ζ −i + ζ j + ζ −j . Then the number of domino...

Ngày tải lên: 07/08/2014, 06:20

... conductivity values of BLTM were lower than those of undoped BLT ceramic regardless of measurement frequency. This seemed to be the effect of the donor dopant on the electrical conductivity of a p-type ... properties of (1 – x)PMN–xPZT ferroelectric ceramics. Phys Solid State 2000, 42:936-943. 21. Baudry L: Theoretical investigation of the influence of space charges on f...

Ngày tải lên: 20/06/2014, 20:20

... the study of boundary layer flow and heat trans- fer over a stretching surface has achieved a lot of success because of its large numb er of applications in industry and technology. Few of these ... plotting h-curve. The effects of pertinent parameters of nanofluid have been discussed through graphs. 2 Formulation of the problem Consider the steady two-dimensional flow of an inc...

Ngày tải lên: 20/06/2014, 20:20