Báo cáo toán học: "Clique-width and the speed of hereditary properties" doc

... within the 3Â-UTR of target genes. The specificity of the miRNA guide strand is thought to be mediated by the ‘seed’ region localized between resi- dues 2 and 8 at the 5Â end [57], and the specicity ... of organs including the heart, kidney, liver and lung. In this review, we summarize our current understanding of the role of miRNAs in the development of tis...

Ngày tải lên: 15/03/2014, 11:20

... class="bi x0 y0 w1 h 1" alt =""

Ngày tải lên: 05/08/2014, 15:20

... ϕ −1 are order- preserving. It is clear that if both X and Y are chains and ϕ : X → Y is an order- preserving bijection, then ϕ is an order -isomorphism. We say that X and Y are order- isomorphic if ... interesting isomorphism theorem as follows: For posets X and Y , OT (X) ∼ = OT (Y ) if and only if X and Y are order- isomorphic or anti- order- isomorphic. Let Z and...

Ngày tải lên: 06/08/2014, 05:20

... lot of the apparent complexity in cell biology is a product of over-expression studies, and loss -of- function data can clarify some of these situations.” And then we will have to go back to the ... a large number of interactions between the cell and the extracellular matrix, as well as the internal cytoskeleton that is composed of networks of actin filaments...

Ngày tải lên: 06/08/2014, 18:20

... +2)!(n +1) 2 (2n +1) 2 . For s =3 we have ζ(3) = ∞  n=0 (−1) n 72  4n n  3n n  { 6120n +5265n 4 + 13761n 2 + 13878n 3 + 1040 (4n + 1)(4n +3)(n + 1)(3n +1) 2 (3n +2) 2 }, and so on. References [A] ... 2 For s =2 we obtain ζ(3) = 1 4 ∞  n=1 (−1) n−1 56n 2 − 32n +5 (2n − 1) 2 1  3n n  2n n  n 3 where ... certify combinatorial identities,Jour.Amer.Math.Soc.3 (1990), 147-158. [Z] D...

Ngày tải lên: 07/08/2014, 06:20

... of Connectedness and the Distribution of Number of Components Jason P. Bell Department of Mathematics University of California, San Diego La Jolla, CA 92903-0112, USA (email: jbell@math.ucsd.edu) Edward ... depends on the type of map, and A depends on both the type of map and the surface. See [22] for a proof of (7) for the unrooted case an...

Ngày tải lên: 07/08/2014, 06:20

... of the pth powers of all of the binomial coefficients of order n. There too, the methods described in [PWZ] can show that no closed form exists for specific fixed values of p, but the general question ... for sums of powers of binomial coefficients, J. Comb. Theory Ser. A 52 (1989), 77–83. [McI] Richard J. McIntosh, Recurrences for alternating sums of powers of...

Ngày tải lên: 07/08/2014, 06:22

... positive graphic lists are the 0 -protographic lists, and the protographic lists are the 1 -protographic lists. As might be expected, every s -protographic list is also (s + 1) -protographic. This follows ... lists Y such that the merger X ∪ Y is not graphic, where the merger of two lists is obtained by summing the multiplicities of their elements. More generally, define...

Ngày tải lên: 07/08/2014, 08:20

... the proof of Lemma 2 in our proof of Theorem 1, we will include the full proof of Lemma 2 there. As examples of these lemmas, for the symmetric group, which has m = n(n − 1)/2 roots, the asymptotic ... covariance form of X.LetY N be the sum of N independent copies of X. For any vector v,letp(v) be the probability for the random walk, and let q(v) the...

Ngày tải lên: 07/08/2014, 08:22

... can go wrong. On the other hand, he observed that locally planar graphs and triangulations of the projective plane and the torus satisfy Haj´os Conjecture, and he conjectured that the same holds ... satisfy the Haj´os Conjecture? For a graph H and a positive integer t,let ˜ H t be the graph obtained from the union of H and the clique K t by adding all edges betwee...

Ngày tải lên: 07/08/2014, 08:22

... sides of a flat face of G  . Proof. This is a corollary of Lemma 9. The notion of the pseudo–embedding may be extended to the representations of a graph on the sphere and to the proper toroidal representations. ... G 1 and G 2 in the embedding of G. G 1 is completely embedded in one of the faces of G 2 and vice versa, which is not possible by convexity of faces and...

Ngày tải lên: 07/08/2014, 13:21

... W. Wang and K W. Lih, Choosability, edge choosability, and total choosability of outerplane graphs, European J. Combin 22 (2001), 71–78. [10] D. R. Woodall, A short proof of a theorem of Dirac’s ... vertices of degree 2, by Theorem 1.3. This contradiction completes the proof of Theorem 1.2. ✷ the electronic journal of combinatorics 13 (2006), #R98 6 Edge and total...

Ngày tải lên: 07/08/2014, 13:21

... v-decomposition numbers; one con- cerning the Mullineux map, and the other concerning e-regularisation. The first of these involves the e-weight of a partition, dened in Đ1.3. the electronic journal of combinatorics ... v-decomposition numbers are the coefficients obtained when the elements of the canonical basis are expanded in terms of the standard basis, i.e. the coeci...

Ngày tải lên: 07/08/2014, 21:21

... and multiple edges. For a graph G, we denote by V (G) and E(G) the vertex set and the edges set of G respectively. The complement of G is denoted G. The neighborhood of v ∈ V (G) is the set of ... giving the or der along the real line in which the starts and ends of intervals occur, and separately record the permutation σ, where the start point of th...

Ngày tải lên: 07/08/2014, 21:21

... 4.2.5]. There are several equivalent but differently flavored characterizations of Golod rings, see Sections 5.2 and 10.3 in [1] and the references therein. One is that R is Golod if the ranks of the ... the strong gcd-condition. Denition 3 (Jăollenbeck [10]). A simplicial complex ∆ is said to satisfy the strong gcd-condition if the set of minimal non-faces of ∆ admits a st...

Ngày tải lên: 08/08/2014, 01:20