Báo cáo toán học: "Quartet Compatibility and the Quartet Graph" ppsx

... asymptotic formula for f nk from theorem 1.1, together with standard results from random matrix theory relating the behavior of the eigenvalues of random unitary matrices to the behavior of the eigenvalues of ... D 1 be the following operation on tableaux: delete the top-left element of the tableaux, then move the lesser of the element immediately below and the element i...

Ngày tải lên: 07/08/2014, 06:22

... circuits and G is not ordinary. ✷ Theorem 4.3 If neither G[X] nor G[X] is bipartite, then G is not ordinary. Proof: By hypothesis, b(G) + p(G) ≥ 2, and so the result follows from Theorem 2.3. ✷ The ... F 0 + F 0 = ∅, the components of A span A(G). The theorem follows. ✷ Let G be a matching covered graph. If b(G) + p(G) = 0, then G is bipartite and A(G) = E(G), by Theorem 1.1 an...

Ngày tải lên: 07/08/2014, 15:22

... is swallowed up in the o(1) term and the value for i = m simplifies to the main term in the bound given. 3 Generalizing the Katona-Sze mer´edi Theorem In this section we prove Theorem 4. Given a ... b(G) denote the minimum, over all collections of bipartite gra phs that cover the edges of G, of the sum of the orders of these bipartite graphs. One proof of the Katona- Szem...

Ngày tải lên: 07/08/2014, 21:21

... closed, and convex subsets of the bounded and convex set coC, then µ(C n ) = 0 (n ∈ N), and therefore C ∞ = ∅. Appealing again to the ˇ Smulian theorem [6, Theorem V.6.2] we find that the convex ... denotes the closed and convex hull of A and H(C, D) is the Hausdorff-Pompeiu distance between the bounded subsets C and D of X. The E-L measure of nonconvexity was introdu...

Ngày tải lên: 20/06/2014, 20:20

... are preserved through the mapping, the stable region always lies to the left of the contour. In the v- plane, this is the region above the top horizontal line, and below the lower h orizontal 0 ... Cleveland, OH 44135, USA Authors’ contributions TH and CL worked together in the derivation of the mathematical results. Both authors read and approved the final manuscr...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:20

... Find whether G 1 and G 2 have orthogonal Euler tours. If G 1 and G 2 are equal to the graph G of Problem 1.7 and each directed transition of G has the same colour in G 1 and G 2 , then T 1 and T 2 are ... 2-matroids Let Q 1 and Q 2 be 2-matroids. When Q 1 and Q 2 have the same ground-set and skew classes we shall use Q 1 + Q 2 to denote the parity system which is the...

Ngày tải lên: 07/08/2014, 06:20