Báo cáo toán học: " On the Symmetric and Rees Algebras of Some Binomial Ideals" pdf

... f u and the first term of f v , by x t the g.c.d. of the first term of f u and the second term of f v , by x r the g.c.d. of the second term of f u and the second term of f v , and by x s the g.c.d. ... decomposition of the presentation ideal of the Symmetric algebra Sym(I) in Theorem 3.1. All these results are independent of the characteristi...

Ngày tải lên: 06/08/2014, 05:20

... first study the structure of SOMAs, concentrating on how SO- MAs can decompose. We then report on the use of computational group theory and graph theory in the discovery and classification of SOMAs. ... applying one or more of: a row permutation, a column permutation, and renaming symbols. In this paper we study the structure of a SOMA, and then report on the us...

Ngày tải lên: 07/08/2014, 06:20

... element of the set Σ n of n-letter words in Σ. The union Σ ∗ =  n≥0 Σ n is the language of all words in the alphabet Σ. It is a monoid, with concatenation of words as operation, and with the empty ... of the words replacing a such that they have the same numbers of letters n a a , n b a and n c a , the substitution matrix for the corresponding triple, consis...

Ngày tải lên: 07/08/2014, 08:20

... section A.2 for a detailed translation), whose proof is the main focus of the present work: Theorem. The number of ASMs of size n with the 1 of the first row in the (i + 1) st position and the 1 of ... our equality. In conclusion, all these variations ((A.3) and (A.4)) are truly the same, and we can concentrate on only one version. A.2 The conjecture in term...

Ngày tải lên: 07/08/2014, 21:20

... statistical analysis of the capacity of N∗Nakagami-m channels. Specifically, we have studied the influence of the severity of fading and the number of hops on the PDF, CDF, LCR, and ADF of the channel capacity. ... obtain the expressions for the statistical properties of the channel capacity C(t). Again, by applying the concept of transformation of r...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:21

... colourings of H are different if there exist two vertices such that in one colouring they have different colours and with the same colour in the other one. Let us denote r k as the number of different ... use two and three colours exist and only “3-strict” colourable BSQSs(16) also exist. There are two classes of BSQS(16): the first class contains BSQSs(16) with χ =¯χ =3; the...

Ngày tải lên: 07/08/2014, 06:22

... according to such definition, all convex polyominoes made only of one column lie in the class C a . iii) C r is the set of convex polyominoes that satisfy only one of the conditions U1 and U2 (for example ... polyominoes, one by gluing a cell onto the top of the rightmost column of P , and another by gluing a cell onto the bottom the electronic journal of combinat...

Ngày tải lên: 07/08/2014, 08:20

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

Ngày tải lên: 05/08/2014, 09:46

... T  being the other component of T − e,thesets(T  ),(T  ) form a partition of (T ).) The width of the branch-decomposition (T,τ) is the maximum of the widths of the edges of T ,andthe branch-width ... tree-width (and tree-decompositions) of graphs attracted plenty of attention, both from graph-theoretical and computational points of view. This attention...

Ngày tải lên: 07/08/2014, 06:23