Báo cáo toán học: "Discrepancy of Matrices of Zeros and Ones" docx

Báo cáo toán học: "Graph Theory for Metric Dimension and Diameter" docx

Báo cáo toán học: "Graph Theory for Metric Dimension and Diameter" docx

... G ∗ ∼ = P D+1 and for some k ∈ [2, D − 1], the vertices u ∗ k−1 and u ∗ k+1 of G ∗ are both not of type (1). Then u ∗ k−1 and u ∗ k+1 are both of type (N). Proof. Let x and y be twins of u k−1 and u k+1 respectively. ... of type (1) are adjacent, and one of them is a leaf of type (K), then the other is also of type (K). Proof. As illustrated in Figure 12, le t x a...
Ngày tải lên : 08/08/2014, 12:22
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Báo cáo toán học: "Discrepancy of Matrices of Zeros and Ones" docx

Báo cáo toán học: "Discrepancy of Matrices of Zeros and Ones" docx

... from which Corollary 1 follows. ✷ Discrepancy of Matrices of Zeros and Ones Richard A. Brualdi ∗ and Jian Shen † Department of Mathematics University of Wisconsin Madison, Wisconsin 53706 brualdi@math.wisc.edu ... each i =1, 2, and 2. The intersection of each row of A with region i is connected for each i =1, 2, and define, for each A ∈A(R, S), the discrepancy d(A)ofA t...
Ngày tải lên : 07/08/2014, 06:20
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Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx

Báo cáo toán học: "Maximising the permanent of (0,1)-matrices and the number of extensions of Latin rectangles" docx

... properties of nonnegative matrices and their permanents, Soviet Math. Dokl. 14:945-949 (1973). [4] R. A. Brualdi, J. L. Goldwasser and T. S. Michael, Maximum permanents of matrices of zeroes and ones, ... moments, (6).  Maximising the permanent of (0,1) -matrices and the number of extensions of Latin rectangles B. D. McKay and I. M. Wanless Department of Computer...
Ngày tải lên : 07/08/2014, 06:22
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Báo cáo toán học: "Discrepancy of Cartesian Products of Arithmetic Progressions" potx

Báo cáo toán học: "Discrepancy of Cartesian Products of Arithmetic Progressions" potx

... ∈ X d ,sof is a bijection. For all x ∈ X d \ D the f–orbit O f (x)ofx has order 2 and consists of x and f(x). Further we have {x i |i ∈ [d]} = {f(x) i |i ∈ [d]}, the electronic journal of combinat ... fixed d. Our proof of the lower bound is a variation of the Fourier transform method (in the literature also called circle–method). The novelty of our proof is the application of...
Ngày tải lên : 07/08/2014, 08:20
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Báo cáo toán học: "On the number of possible row and column sums of 0,1-matrices" pps

Báo cáo toán học: "On the number of possible row and column sums of 0,1-matrices" pps

... polynomial in x and y of degree ≤ deg f +1. By induction and (4) it follows that the coefficients of G are rational numbers. This proves the lemma. 5 End of the proof Since G is a polynomial of degree ... electronic journal of combinatorics 13 (2006), #N8 5 3 Start of the proof Let N = {0, 1, }. Define the weight of a matrix N to be the sum of its entries, and write |N| for...
Ngày tải lên : 07/08/2014, 13:21
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Báo cáo toán học: "Discrepancy of Sums of Three Arithmetic Progressions" ppsx

Báo cáo toán học: "Discrepancy of Sums of Three Arithmetic Progressions" ppsx

... point of X either red or blue, in such a way that any of the sets of F has roughly the same number of red points and blue points. The maximum deviation from an even splitting, over all sets of F, ... elements of X as x 1 ,x 2 , ,x n and the sets of F as S 1 ,S 2 , ,S m in some arbitrary order. The incidence matrix of (X, F)isthem × n matrix A, with columns corresponding to...
Ngày tải lên : 07/08/2014, 13:21
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Báo cáo toán học: "Discrepancy of Symmetric Products of Hypergraphs" pdf

Báo cáo toán học: "Discrepancy of Symmetric Products of Hypergraphs" pdf

... used in the proofs of Theorem 8 and Theorem 10 are different. References [1] J. Beck and V. T. S´os, Discrepancy theory, in R. Graham, M. Gr¨otschel, and L. Lov´asz, Editors, Handbook of Combinatorics, ... respect to χ. Proof of Lemma 7. The proof is based on an argument from Ramsey theory. First we verify the statement of Lemma 7 for a fixed simplex. Then, by induction over the n...
Ngày tải lên : 07/08/2014, 13:21
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Báo cáo toán học: "The tripartite separability of density matrices of graphs" pptx

Báo cáo toán học: "The tripartite separability of density matrices of graphs" pptx

... recall the definition of the density matrices of a graph and define the tensor product of three graphs, reconsider the tripartite entanglement properties of the density matrices of graphs introduced ... for separability of density matrices of nearest point graphs and perfect the electronic journal of combinatorics 14 (2007), #R40 1 where I n and J n is the n ×n ident...
Ngày tải lên : 07/08/2014, 15:22
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Báo cáo toán học: "The asymptotic behavior of the average Lp−discrepancies and a randomized discrepancy" docx

Báo cáo toán học: "The asymptotic behavior of the average Lp−discrepancies and a randomized discrepancy" docx

... then fo llows from Theorem 3 and ess sup 0x1 |g(x)| = D ∗ N (P). 3.5 The proof of Theorem 5 Proof. We go back to our definition of D P N as the expected value of the random variable     # {x i : ... The proof of Theorem 4 Proof. We start with the lower bound. Taking a random interval could be simulated as follows: we start by t aking any random point α in [0, 1] and then take...
Ngày tải lên : 08/08/2014, 12:22
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Báo cáo toán học: " Structure-property relations of co-doped bismuth layer-structured Bi3.25La0.75(Ti1-xMox)3O12 ceramics" pptx

Báo cáo toán học: " Structure-property relations of co-doped bismuth layer-structured Bi3.25La0.75(Ti1-xMox)3O12 ceramics" pptx

... analysis, and writing of the manuscript. AW and SJ participated in the conception and design of the study and revised the manuscript for important intellectual content. All authors read and approved ... Watcharapasorn 1,2 , and Sukanda Jiansirisomboon* 1,2 1 Department of Physics and Materials Science, Faculty of Science, Chiang Mai University, Chiang Mai, 50200,...
Ngày tải lên : 20/06/2014, 20:20
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