Báo cáo toán hoc:" Spherical f-Tilings by Scalene Triangles and Isosceles Trapezoids III " ppsx

... discuss dihedral f-tilings by spherical scalene triangles, T , and spherical isosceles trapezoids, Q, with a certain adjacency pattern. We present in Table 1 a list containing all the f-tilings obtained ... all dihedral f-tilings by spherical parallelograms and spherical triangles was obtained. Later on, in [5], the classification of all dihedral f-tilings of th...

Ngày tải lên: 08/08/2014, 01:20

... S p satisfy λ(G, x) = λ(G). If v, w ∈ V i and x v > x w then setting δ = (x v −x w )/2 > 0 and defining a new weighting x  by x  v = x v − δ, x  w = x w + δ and x  u = x u for u ∈ V \{v, w} ... 3 If G ∈ G (r) t and x = (x 1 , . . . , x t ) ∈ Z t + then the x-blow-up of G is the r-graph G(x) constructed from G by replacing each vertex v by a class of vertices of siz...

Ngày tải lên: 07/08/2014, 15:23

... and taking in account the electronic journal of combinatorics 15 (2008), #R22 14 3 Dihedral Spherical F-Tilings by Scalene Triangles and r-Sided Regular Polygons Here T stands for a scalene spherical ... f-tilings of the sphere by rhombi and trian- gles, Discrete Math. Theorical Computer Sci., 7 (2005), 123−140. [5] A. M. Breda and A. F. Santos, Dihedral f-tilings...

Ngày tải lên: 07/08/2014, 15:23

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Ngày tải lên: 20/06/2014, 21:20

... PCR) and P5 (nested PCR) were used for the 5’-RACE and the gene-specific primers P6 (first PCR) and P7 (nested PCR) for the 3’-RACE. Approximately 250 bp and 290 bp were amplified by 5’-RACE and ... 50 mM sodium phosphate buffer (pH 7.0) and eluted with the equilibration buffer. The active fractions were combined and concentrated by ultrafiltration, and the concentrate...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

... group) and “consistency” in vertex-signed graphs ,and generalizable work on two-graphs (the set of unbalanced triangles of a signed complete graph) and on even and odd polygons and paths in graphs and ... D(Γ); Brown and Spencer (1971a), Gordon and Witsenhausen (1972a) for D(K t,t ); Harary, Lindstr¨om, and Zetterstr¨om (1982a) for a result similar to Thm. 1.] (SG: Fr, Rand...

Ngày tải lên: 07/08/2014, 05:23

... get ξ m−1 − δ m ξ m = n m and ξ k − δ k+1 ξ k+1 = n k . (16) We deduce that n m and n k are both non-zero and therefore that ξ m−1 and δ k+1 ξ k+1 are both non-zero integers and sin πξ m−1 =sinπδ k+1 ξ k+1 = ... we have that ˇϕ = 1 Q∪R and from (18) we get that Q ∪ R tiles with Λ and weight 1. We can now prove the following. Theorem 8 (Lattice tiling by extended cubes) Let Q...

Ngày tải lên: 07/08/2014, 06:22

... to the sign (−1) k−1 . These terms sum up to (−z) k S k k ( +1/z), and the required series f k (z) is obtained by dividing by (−1) k−1 S k k−1 ( ). QED The first defining equations for the f i ’s ... Leclerc, On identities satisfied by minors of a matrix, Advances in Maths. 100 (1993)101–132. [LP] A. Lascoux, P. Pragacz, Sylvester’s formulas for Euclidean division and Schur mul- tifunc...

Ngày tải lên: 07/08/2014, 06:22

... by Moon and Moser [3]. Furthermore, I(n, n − 2) = 2 n−2 − 2 and the extremal graph (unique up to isomorphism) coincides with K 2,n−2 for ... an irreducible covering by n − k cliques, then ω(G) ≤ k +1 if k =2or 3 and ω(G) ≤  k k/2  if k ≥ 4. Moreover, these bounds are sharp for every n ≥ k +1if k =2or 3 and n ≥ k +  k k/2  if ... journal of combinatorics 9 (2002), #N11 4 Ir...

Ngày tải lên: 07/08/2014, 06:23