Báo cáo toán học: "The Rank of a Cograph" pptx

... and Motivation The rank of a graph X is the rank of its adjacency matrix A( X). As the rank is such a fundamental algebraic concept, the relationship between the structure of a graph and its rank ... of other matrices associated with a graph, or about the ranks of certain graphs over finite fields (for examples, see Godsil & Royle [7]). In calculating the rank...

Ngày tải lên: 07/08/2014, 07:21

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Ngày tải lên: 05/08/2014, 10:20

... Multiplicities of a Dual-thin Q-polynomial Association Scheme Bruce E. Sagan Department of Mathematics Michigan State University East Lansing, MI 44824-1027 sagan@math.msu.edu and John S. Caughman, IV Department ... -andQ-polynomial association schemes, Graphs Combin.,toappear. [5] C. D. Godsil, “Algebraic Combinatorics,” Chapman and Hall, New York, 1993. [6] T. Ito, K. Tanabe, and P. T...

Ngày tải lên: 07/08/2014, 06:22

... gap has moved into an upper corner cell. If all entries of T are different this process is well defined and actually yields a Young tableau. The evacuation tableau evac(T) of a standard Young tableau ... pseudolines. Similarly a partial arrangement is an isomorphism class of simple marked partial arrangements of pseudolines. Goodman and Pollack [8] described a one-to-many corres...

Ngày tải lên: 07/08/2014, 06:22

... tropical.lib, http://www.mathematik.uni-kl.de/ ∼ keilen/en/tropical.html. [PR] Peter Paule and Axel Riese, qZeil Mathematica software, http://www.risc.uni-linz.ac.at. [PR97] , A Mathematica q-analogue of Zeilberger’s algorithm based on an alge- braically ... differential operator case. Indeed, q is a variable which seems to be independent of the spacial variables x of a differential...

Ngày tải lên: 08/08/2014, 14:23

... Computation of minimum rank The question of the decidability of the minimum rank of a graph over a field F was raised at the 2006 American Institute of Mathematics workshop,“Spectra of Families of ... mr(M C C S 1 ). Proof. By Lemma 2.2, mr(M C C S 1 ) = 6. Let A be a real realization of C S 1 of minimum rank. We claim that rank( A) ≥ 7. Suppose to the contrary...

Ngày tải lên: 07/08/2014, 15:23

... (bellolio.fernanda@mayo.edu) Anunaya R Jain (anunaya_jain@urmc.rochester.edu) Lekshmi Vaidyanathan (vaidyanathan.lekshmi@mayo.edu) Rachel M Gilmore (gilmore.rachel@mayo.edu) Rahul Kashyap (kashyap.rahul@mayo.edu) Amy ... Demographics and characteristics of the cohort are summarized in Table 1. With 58.7% males, the cohort had a mean age of 74 years (SD = 15.0). A study of the TOAST...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 15:21

... (multi)-sets X and Y of equal cardinality, and each summand V (X, Y ) P is invariant under the action of the Laplacian. Thus we can now concentrate on the action of the Laplacian on each of these blocks. 4.1 ... simultaneously for both Laplacians (L X and L Y ),i.e., that the eigenvalues of the Laplacian L are the sum of the eigenvalues of L Y and the eigenvalues of L X evalua...

Ngày tải lên: 07/08/2014, 06:20

... q) Remarks. The specialization of equation (2) to q = 1 appears as [Ste, Proposition 2.2(b)], and the special case of (2) in which W is of type A n appears in slightly different form as [DF, equation ... odd-labelled edges of the Coxeter diagram. As a consequence, there is a universal tuple of additive statistics n 1 ,n 2 , whose multivariate distribution specializes to that o...

Ngày tải lên: 07/08/2014, 06:20