Báo cáo toán học: "Spherical F-Tilings by Triangles and r-Sided Regular Polygons, r ≥ 5" doc

... k ≥ 4. These bounds are sharp if n ≥ k +1(fork = 2 or 3) and n ≥ k +  k k/2  (for k ≥ 4). Key Words: clique, irreducible covering, antichain, Sperner’s theorem 1 Definitions and preliminary ... cliques. Theorem 2.1 Let k ≥ 2. If the graph G of order n has 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....

Ngày tải lên: 07/08/2014, 06:23

... establish the necessary definitions and preliminaries for the remainder of the paper. Then in Section 3 we work with vertex number and regularity, giving proofs for Theorem 1 and Theorem 2. In Section ... forces G to be an n-cycle. 3.2 Regularity We are now ready to show that the regularity of G can be determined from Z G (u). Proof of Theorem 2. We can deduce results on regularity by...

Ngày tải lên: 08/08/2014, 01:20

... Any two fibres are joined by a 1-factor; therefore vertices in every fibre are at mutual distances three or more. We only need to show that G has parameters λ = 0 and µ =2— distance regularity will ... theorem. 2 Crooked functions and rectagraphs A rectagraph is a graph without triangles in which every pair of vertices at distance 2 lies in a unique 4-cycle. There are not too many const...

Ngày tải lên: 07/08/2014, 06:22

... characteristic zero. There has been renewed interest in these spaces in recent papers (see for example [3, 4, 6, 11, 13] and the references therein). One particularly interesting aspect of recent ... study this basis further in future work. For now, we prefer to develop the representation theory that will motivate our result. the electr onic journal of combinatorics 13 (2006), #R7 5 6 Lemma...

Ngày tải lên: 07/08/2014, 13:21

... Spherical F-Tilings by Isosceles Triangles and r- Sided Regular Polygons In this section P r and T denote, respectively, a spherical r- sided regular polygon (r ≥ 5) and a spherical isosceles triangle, ... β r α π − β r α π − α 1 2r 2 D r C (r = 6) arccos −2 3 π 2 π − α – 2 24 8 O h Table 1: The Combinatorial Structure of the Dihedral F-Tilings of S 2 b...

Ngày tải lên: 07/08/2014, 15:23

... sphere by tri- angles and r- sided regular polygons (r ≥ 5) was achieved. In a subsequent paper [4], is presented the study of all dihedral spherical f-tilings whose prototiles are an equilateral triangle ... give n the corresponding planar representation. 3D representations for k = 4 and k = 5 are given in Figure 42. In the last situation, there is a family of f-tilings, d...

Ngày tải lên: 08/08/2014, 01:20

... LE, Arnold R, Pauser U, Klöppel G, Weihe E: Expression of the two isoforms of the vesicular monoamine transporter (VMAT1 and VMAT2) in the endocrine pancreas and pancreatic endocrine tumors. ... (more than 6 h, up from 1 h). t ½ , half-life; RSS, regression sum of squares; SEM, standard error of the mean. Table 4. One-tissue compartment model parameters using defluorination-correc...

Ngày tải lên: 20/06/2014, 21:20

... gene-specific primers P4 (first 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 ... PadR, the repressor of the phenolic acid stress response, by molecular interaction with Usp1, a universal stress protein from Lactobacillus plantarum, in Escherichia coli. App...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

... ±ir, r. Remark 2. By taking β = α and α = 1 in (8), analogous results for UCVJ T (α, σ) are also obtained. References 1. R. Bharati, R. Parvatham, and A. Swaminathan, On subclasses of uniformly convex ... σ and gives the required result.  Corollary 9. If f ∈CQ T (α, β, σ) and |z| = r& lt;1, then for 0 <σ 1 (i) |Q α β f(z)|  r + σ 2(1+σ) r 2 , (i) |Q α β f(z)| r − σ 2(...

Ngày tải lên: 06/08/2014, 05:20