Báo cáo toán học: "On zero-sum free subsets of length 7" ppsx

Ngày tải lên: 05/08/2014, 09:46

... sink) of degree k will be called a k-source (resp. a k-sink). We denote by N + G (v), N − G (v)andN G (v) respectively the set of successors of v,the set of predecessors of v and the set of neighbors ... arcs of A  . Let G be an oriented graph and f be an oriented arc-coloring of G. For a given vertex v of G,wedenotebyC + f (v)andC − f (v) the outgoing color set of v (i.e...

Ngày tải lên: 07/08/2014, 13:21

... constant of G and r(G) the rank of G . • Let ol(G) denote the maximal length of a sequence X over G which is zero-sum free and squarefree. The invariant ol(G) is called the Olson constant of G. 3 ... progression of difference d, then |(S + x)\S| = min{|S|, n − |S|, k, n − k}, the electronic journal of combinatorics 17 (2010), #R104 6 On zero-sum free subsets of lengt...

Ngày tải lên: 08/08/2014, 12:22

... investigate the existence of a common fixed point of a commuting family of order preserving mappings defined on a complete lattice. Here the proof fol- lows the ideas of Baillon [10] developed ... Correspondence: abusbeih@kfupm.edu.sa 1 Department of Mathematics & Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia Full list of author info...

Ngày tải lên: 20/06/2014, 21:20

... degree ∆ of G satisfies ∆ < n k−1−1/ρ . Let us now delete the edges of a maximal collection of edge disjoint copies of members of F from G p . The resulting k-graph G  p is clearly F -free. Moreover, ... triangle -free hypothesis 1 . Indeed, the condition of simplicity is the same as saying that the 3-graph is F -free, where F is the 3-graph of two edges sharing two vertices...

Ngày tải lên: 07/08/2014, 21:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 10:20

Ngày tải lên: 05/08/2014, 15:20

... 0), which completes the proof.  Proof of Theorem 2.1. If EX 2 < ∞ then s 2 n → σ 2 a.s. Therefore, the theorem follows if we show that the conditional distribution of Y ∗ nN n converges weakly ... =[(1−s 0 )m],v=[(1+s 0 )m]. Vietnam Journal of Mathematics 33:3 (2005) 261–270 On the Asymptotic Distribution of the Bootstrap Estimate with Random Resample Size * Nguyen Van Toan Depart...

Ngày tải lên: 06/08/2014, 05:20

... − λ ∗ , (2.2) Then every solution {x n } ∞ n=−m of (2.1) is bounded. Proof. The proof follows from applying the mean value theorem and the proof of Theorem 2 in [2]. To study the periodicity in ... behavior of solutions of delay nonlinear difference equations has been studied extensively in recent years; see for example [1-9]. Our main moti- vation in studying asymptotic behavior of...

Ngày tải lên: 06/08/2014, 05:20