Báo cáo toán học: "Even Astral Configurations Leah Wrenn Berman" pps

... class="bi x0 y1 w1 h 2" alt =""

Ngày tải lên: 05/08/2014, 09:46

... class="bi x0 y0 w3 h 1" alt =""

Ngày tải lên: 05/08/2014, 15:20

... alt =""

Ngày tải lên: 05/08/2014, 15:20

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

Ngày tải lên: 05/08/2014, 15:21

... W ,∞ (R n ). The following result is an extension of the Gagliardo-Nirenberg inequality ([2 - 6]) to Lorentz spaces. Note that the Gagliardo-Nirenberg inequality has applications to partial differential ... of the Gagliardo-Nirenberg inequality to Lorentz spaces. Let Φ : [0, ∞) → [0, ∞) be a non-zero concave function, which is non-decreasing and Φ(0+) = Φ(0) = 0. We put Φ(∞) =...

Ngày tải lên: 06/08/2014, 05:20

... an even kernel. Thus an even kernel may exist nonuniquely. A triangle has no even kernel. u 8 1 u 4 u 2u 3 u 5 u 6 u 7 u 9 u Figure 1. Even kernels in a graph G =(V,E). The notion of an even ... simple path or a simple circuit each have an even kernel if and only if the path or circuit has even length (an even number of edges). The notion of an even kernel is not all th...

Ngày tải lên: 07/08/2014, 06:20

... second coordinate (i.e., the number of ways of “placing k non-taking rooks on B”). It has long been known [5] that the rook numbers of a board B determine the rook numbers of the complementary board ... subset of [d] ì [d](where[d]isdenedtobe{1, 2, ,d})andtherook numbers r B k of a board are the number of subsets of B of size k such that no two elements have t...

Ngày tải lên: 07/08/2014, 06:20

... order on the set of Young diagrams as follows: à if and only if there exists a sequence ν 1 ,ν 2 , ,ν k of Young diagrams such that LONGEST INCREASING SUBSEQUENCES OF RANDOM COLORED PERMUTATIONS Alexei ... the (centered and scaled) length of the longest increasing subsequence of random colored permutations. The limit distribution function is a power of that for...

Ngày tải lên: 07/08/2014, 06:20

... out a common denomi- nator, we see that ω s too has the form (∗). This proves the Proposition. Theorem 1: ([Z], Theorem 7, p.596) For any WZ pair (F,G) ∞  n=0 G(n, 0) = ∞  n=1 (F(n, n − 1) ... faster convergent series for ζ(3), Elect. Jour. Combin. 3 (1996). [PWZ] M. Petkovˇsek, H.S. Wilf, D. Zeilberger, “A=B”, A.K. Peters Ltd., 1996. The package EKHAD is available by the www at...

Ngày tải lên: 07/08/2014, 06:22

... chromatic number of the forbidden subgraph). Our results provide bounds that are remarkably accurate for small forbidden configurations but we still have some small forbidden configurations for which ... the work begun by Anstee, Griggs and Sali on small forbidden configurations. In the notation of (0,1)-matrices, we consider a (0,1)-matrix F (the forbidden conguration), an m ì n...

Ngày tải lên: 07/08/2014, 06:22

... 9: An astral type 1 configuration (30 2 , 10 6 ) 4 Astral [4, 4] configurations Astral configurations of class [4, 4] — that is, astral (n 4 ) configurations — have been characterized completely, ... from the astral [6, 4] 1 configurations 30#8 1 10 7 13 12 and 30#10 1 11 6 14 13 . Theorem 10.9. Polars of mixed astral [6, 5] 2 configurations are astral [5, 6] 2 configura- tio...

Ngày tải lên: 07/08/2014, 08:20

... list. Let J be an assignment of directed parities to the even bonds of G.AsetM of even bonds of G is J-intractable if, under every orientation of G, an odd number of the bonds in M are not J-oriented. ... connected. Further, the parity of B  is the parity of A minus the parity of the degree of x plus the parity of the degree of y. Hence B  is an even bond of...

Ngày tải lên: 07/08/2014, 13:21

Ngày tải lên: 07/08/2014, 13:21

... columns in order to have the resulting matrix to be simple. If we wish to remove row i, then we can force the resulting (m − 1)-rowed matrix to be simple by deleting the columns associated with ... Subject Classification: 05D05 Abstract The present paper continues the work begun by Anstee, Ferguson, Griggs and Sali on small forbidden configurations. We define a matrix to be simple if it is a...

Ngày tải lên: 07/08/2014, 15:23

... given in [3], where it was shown that there are no astral 5-configurations with dihedral symmetry. The existence of astral 5-configurations with only cyclic symmetry is still unsettled but is highly ... line passes through five points. We describe how to construct the first known family of 5-configurations with chiral (that is, only rotational) symmetry, and prove that the constructi...

Ngày tải lên: 08/08/2014, 11:20