Báo cáo toán học: " The order dimension of Bruhat order on infinite Coxeter groups" potx

... Γ f , the f -dimensional Fibonacci cube. We give bounds on the Fibonacci dimension of a graph in terms of the isometric and lattice dimension, provide a combinatorial characterization of the Fibonacci ... based on a combination of the isometric and lattice dimensions, and we discuss the Fibonacci dimension of some particular classes of graphs. In Section 4 we...

Ngày tải lên: 08/08/2014, 14:22

... P be a convex polytope. We follow the usual convention which includes both ∅ and P among the set of faces of P.Afacet of P is a face of P whose dimension is one less than the dimension of P. Two ... and monicity of the cd-index constitute the complete set of affine relations on the flag f-vector of an Eulerian poset. Setting the degree of c to be 1 and the...

Ngày tải lên: 07/08/2014, 08:22

... of them eigenspaces of the relations R j of the association scheme. The (D + 1) × (D + 1 )-matrix P , where P ij is the eigenvalue of the relation R j for the eigenspace V i , is the matrix of ... eigenvalues of the association scheme. If ∆ m is the diagonal matrix with (∆ m ) ii the dimension of the eigenspace V i , and if ∆ n is the diagonal matr ix w...

Ngày tải lên: 07/08/2014, 21:21

... bound on the order dimen- sion of the Bruhat (or strong) ordering of the affine Coxeter group ˜ A n .Wealso demonstrate that the order dimension of the Bruhat order is infinite for a large class of Coxeter ... the order dimension of the Bruhat order on A n . In [14], the order dimension of the Bruhat order on A n is determined...

Ngày tải lên: 07/08/2014, 08:22

... Section 5 and our conclusions are offered in Section 6. 2. BASIC CONCEPTS This section reviews three concepts: the basic concept of SVMs, the definition of WOS filters with reference to both the ... hyperplane which divides the set of samples such that all the points with the same class are on the same sides of the hyperplane. Let w o and b o denote the optimum values...

Ngày tải lên: 22/06/2014, 23:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:21

... Technology Xi’an 710055, China 2 Faculty of Science, The Chinese University of Hong Kong, Hong Kong, China Dedicated to Professor Do Long Van on the occasion of his 65 th birthday Received May 10, ... Shum translations (and also the set P (S) of all right translations) of the semigroup S forms a semigroup under the composition of mappings. By the translational hull...

Ngày tải lên: 06/08/2014, 05:20