Báo cáo toán học: "Antichains on Three Levels Paulette Lieby" doc

... H 2 , Yue and Zhong [11] investi- gated the attractors for autonomous and nonautonomous 3D Navier-Stokes-Voight equations in different methods. More details about the infinite-dimensional dynamics systems, ... RESEARC H Open Access Remarks on uniform attractors for the 3D non- autonomous Navier-Stokes-Voight equations Yiwen Dou 1,2 , Xinguang Yang 3* and Yuming Q...

Ngày tải lên: 20/06/2014, 21:20

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Ngày tải lên: 05/08/2014, 15:20

... years after the publication of A Handbook of Integer Sequences, a greatly expanded version of this collection can now be accessed by electronic mail. 1. The on-line version A Handbook of Integer ... if the sequence is not in the table), and furthermore will apply a series of transfor- mations to a given sequence and then look up the transformed sequences in the...

Ngày tải lên: 07/08/2014, 06:20

... Szemer´edi, On sets of integers containing no k elements in arithmetic pro- gression, Acta Arithmetika 27, 199–245. Note on Gy. Elekes’s conjectures concerning unavoidable patterns in proper colorings Vera ... Classification numbers: 05C15, 05C55, 05C38 Abstract A counterexample is presented to Gy. Elekes’s conjecture concerning the existence of long 2-colored path...

Ngày tải lên: 07/08/2014, 06:20

... for m<n, one can obviously place at most m nonattacking queens and for 4 m<n,one can just take a solution on the m ì m board and extend the board. Moreover, the reader will easily nd solutions on ... reader will readily find that there is no solution on the 6 ì 3 board, but there are solutions on the 9 ì 3 board. It follows that there are solutions on the n ì m board for all m&...

Ngày tải lên: 07/08/2014, 06:22

... operations that preserve well-coveredness under certain conditions may be found in [8], in- cluding the corona, the conjunction, the disjunction, and the Cartesian product of graphs. The case of the ... well-coveredness preserving operations. 2.1 Disjoint Union and the Join Let G 1 and G 2 be well-covered graphs. Then the disjoint union G 1  G 2 is also well- covere...

Ngày tải lên: 07/08/2014, 08:20

... if it has at most two levels, and those levels are consecutive. A partition of B is a collection of pairwise disjoint sub-collections of B whose union is B. That is, the collection π 1 = {B 1 , B 2 , ... A the electronic journal of combinatorics 11 (2004), #R50 2 All subsequent proofs in this section and Sections 4 and 5 are proofs by induction on n. The induction hypothesis is Inductio...

Ngày tải lên: 07/08/2014, 08:20

... differential equation argument in the proof of Theorem 1 gives the conclusion on the size of the random core. The modifications required for the proof of the other conclusion, on the number of vertices ... −1)(n −t) the event conditioned on cannot occur, in which case the lemma is intended to say nothing. Proof. The choice of a random allocation a conditional upon V and s can be done in t...

Ngày tải lên: 07/08/2014, 13:21

... ,r k ;n whose contribution to the generating function is exactly the right side of the identity. Then, we have to construct a killing involution on G r 1 , ,r k ;n − S, i.e., an involution on G r 1 , ... diagram to the multi-colored permutation group. We also thank Toufik Mansour for fruitful discus- sions. References [1] E. Bagno and D. Garber, On the excedance number of c...

Ngày tải lên: 07/08/2014, 15:22

... our proof of Proposition 2.1. Acknowle dgment The author thanks Prof. Y. Wang, who first ask her about the positivity problem of recurrence sequences and give helpful suggestions in the preparation of ... Anal. 14 (1983) 396–398. the electronic journal of combinatorics 17 (2010), #R57 8 Positivity of three-term recurrence sequences ∗ Lily L. Liu School of Mathematical Scienc...

Ngày tải lên: 08/08/2014, 12:22