Báo cáo toán học: "How frequently is a system of 2-linear Boolean equations solvable" ppsx

... on this project, we became aware of a recent paper [10] by Daud´e and Ravelomanana. They studied a close but different case, when a system of m equations is chosen uniformly at random among all ... {f r }. As far as we can judge by a proof outline in [10], our argument is quite different. Still, like [10], our analysis is based on the generating functions of sparse graph...

Ngày tải lên: 08/08/2014, 12:22

... any of the members of F, is a similarly natural setup. One such scenario is when a Maker/Breaker game is played on a monotone decreasing family H, for example the family of planar graphs. This ... planar graph game on n vertices, Avoider can play at least 3n − 26 edges while keeping his graph planar. Motivation and History Positional games consist of a board, which is...

Ngày tải lên: 07/08/2014, 15:22

... U A =  H A H of an arrangement A. The result by Ziegler & ˇ Zivaljevi´c is actually far more general and is valid for general arrangements of linear subspaces. Here, we state an equivariant version ... manifold M A = C n \  H A H.ThespaceM A is called the complement of the arrangement A. The combinatorial object associated to an arrangement A is the intersectio...

Ngày tải lên: 07/08/2014, 06:20

... it became clear rather quickly that this is not possible (at least not routinely). In fact, the aforementioned proofs take advantage of a few remarkable coincidences, which break down if x is nonzero. ... presentation is modelled after Stembridge’s presentation of Doran’s idea in [15, Proof of Theorem 8.3]. 3. A two-parameter family of determinants. The goal of this sectio...

Ngày tải lên: 07/08/2014, 06:20

... element of B contains another) then we call B the basis for the set. For example, the set of permutations that avoid 12 and 123 is the set of all decreasing permutations, and its basis is simply ... series has a basis (defining set of forbidden patterns) consisting of 20 permutations of length 5, 6, 7 and 8. We prove this via a “canonical” generating algorithm. 1 Introducti...

Ngày tải lên: 07/08/2014, 13:21

... 05C05 Abstract Let G be a class of graphs. A d-fold grid over G is a graph obtained from a d-dimensional rectangular grid of vertices by placing a graph from G on each of the lines parallel to one of ... DIMACS, DIMATIA and Renyi tripartite work- shop “Combinatorial Challenges” held in DIMACS in April 2006; we thank the DIMACS center for its hospitality. We also thank Step...

Ngày tải lên: 07/08/2014, 21:21

... journal of combinatorics 17 (2010), #R19 14 Counting subwords in a partition of a set Toufik Mansour Department of Mathematics, University of Haifa, 31905 Haifa, Israel toufik@math.haifa.ac.il Mark ... word π as π (1) a (2) a · · ·π (s) a (s+1) , where π (j) is a word over the a lphabet [a − 1]) is given by A ′ a 1 − xA a = A a −  a 1 m−1  x ℓ−2 (1 − y) 1...

Ngày tải lên: 08/08/2014, 11:20

... previously reported [24]. Statistical analysis All statistical analyses were carried out using Statistica 7.0 for Windows (Statsoft, Tulsa, OK, USA). In all cases we analysed our data according to the additive ... Psychiatria Hungarica 2006, 21:147-160. 22. Akiskal HS, Akiskal KK: TEMPS: Temperament Evaluation of Memphis, Pisa, Paris and San Diego (Special Issue). J Affect Disord 2005, 85:1...

Ngày tải lên: 08/08/2014, 23:21

... This is a significant addition to a long range of publications showing an association of SAPHO with P. acnes in 42% of patients (Table 1). The activity of SAPHO, by assessment of skin disease, ... syndrome: Is a range of pathogen-associated rheumatic diseases extended? Alexander P Rozin B. Shine Department of Rheumatology, Rambam Health Care Campus and Rappaport Facult...

Ngày tải lên: 09/08/2014, 14:22

... even gave a sketch of a presentation of the first transfer-matrix method. Their input has greatly improved this paper. References [1] A. Jiang, R. Mateescu, M. Schwartz and J. Bruck, “Rank modulation ... journal of combinatorics 16 (2009), #R104 9 where v(n) is the number of closed walks of length n based at A 0 . We claim that each such walk is in bijection with a permu...

Ngày tải lên: 08/08/2014, 01:20