Báo cáo toán học: "On the Tur´n Properties of Infinite Graphs a" pptx

... ≤ k 2 , 3 4 k 2 − 5 6 k+ 1 4 (2i−k−2)(2i−k) (k+i) 2 , otherwise. The meaning of the existence of t B (i) is similar as in Remark 2.3. 3 Proof of Theorem 1.2 We start with an outline of the proof. First, we redefine the sequence B by ... sequence C of 2k symbols from the proof of Theorem 1.3, for k ≥ 12 and even. Then an approach similar to the one used in Theorem 1.3 yi...

Ngày tải lên: 07/08/2014, 15:23

Ngày tải lên: 05/08/2014, 15:20

Ngày tải lên: 05/08/2014, 15:21

Ngày tải lên: 05/08/2014, 15:21

... S  n = m n  1 |a nk ||X k |→0 a.s. Because the proof of Theorem 2 holds when S n is replaced by S  n , Theorem 2 states the convergence of S n in absolute sense too. Consequently under the conditions of Theorem 2 m  n  1 a nk X k → ... method of proof is not suitable to derive such a result. By Corollaries 1 a nd 2, we can see that the finiteness of exp ectation of som...

Ngày tải lên: 06/08/2014, 05:20

... objects of O. The root of the tree is the object of O having the minimum size (possibly the empty object). The objects having the same value of the parameter p lie at the same level, and the sons of ... : the uppermost cell of the rightmost column of the polyomino has the maximal ordinate among all the cells of the polyomino; U2 : the lowest c...

Ngày tải lên: 07/08/2014, 08:20

... line of angle θ, but it reduces to the corresponding integral along the positive real line, by virtue of the residue theorem. This suffices to justify the extension of the estimate to sectors. The ... is a fact that the precise knowledge of the behaviour of an analytic function in the vicinity of its singular points is a source of arithmetic properties. ” the...

Ngày tải lên: 07/08/2014, 08:22

... ∧ H) is the tensor product of the matrices A(G) and A(H), and that the eigenvalues of a tensor product of matrices may be found by taking products of the eig envalues of the factors. The fundamental ... various other graph- theoretic properties not considered there. O ur proofs emphasize the dependence of results on the underlying algebraic structure of the r...

Ngày tải lên: 08/08/2014, 01:20

... matrix. Let V be the vector space generated by G. Suppose v ∈ V is the sum of a subset of the rows of G, at least one of which is among the bottom k − l rows. Denote the complement of a binary vector ... prove Theorem 7. This author and Lucas Sabalka found a more general theorem [6], but they used a different proof technique. Theorem 7 is a generalization of Theorem 6, t...

Ngày tải lên: 08/08/2014, 12:22

... defined in the same way as in the proof of Lemma 1. Lemma 3 Let λ be the number of distinct pairs of elements of B having the same cyclic ordering of edges incident on an element of A  . Then, if ... ordering of the edges around u 1 ,andc(u 2 ) denote the cyclic ordering of the edges around u 2 . Woodall [3] proved the following theorem: Theorem 4 If a good dra...

Ngày tải lên: 07/08/2014, 07:21