Báo cáo tin học: "On the Spectrum of the Derangement Graph" pptx

... similarity. In Proceedings of the Joint Conference of the 47th Annual Meeting of the ACL and the 4th International Joint Confe rence on Natural Language Processing of the AFNLP, pages 396–404. G.A. ... comparing the results of these three sets among themselves, and with the results of the member -of and contained- in seeds, indicating insignificant similarity and o...

Ngày tải lên: 20/02/2014, 04:20

... proofs may lead the way for the cubic cases. The study of the q-analogs of these formulas will follow a completely different route and will not be discussed in this paper. Acknowledgments. The ... as Theorem 1.2. The proofs will be given in Section 2. In Section 3, we construct several interesting Dyson style constant term identities. 2 Proof of Theorem 1.2 and Theorem 1.3 Go...

Ngày tải lên: 07/08/2014, 15:23

... All these facts might be useful in statistics. In the fourth section of the paper we shall prove the ‘quasi-random’ character [4] of the distribution of the 0’s and 1’s in the codewords of the ... codes belonging to two known classes, namely that of the duals of the double error correcting BCH codes, and that of the duals of the Melas codes. 2. The basi...

Ngày tải lên: 07/08/2014, 06:20

... coverings of the unit square with homothetic smaller squares and ask the same question. It turns out that the answer is the same, but the proof is much simpler; we give the details in the last ... vertex; the side length of the special triangle is the maximum side length of the replaced triangles. Note that the special triangle constructed still covers the part...

Ngày tải lên: 07/08/2014, 15:23

... cycle, such that there are f i i-gons in the exterior of the Hamiltonian cycle and f ′ i i-gons in the interior of the Hamiltonian cycle. Then  i (i − 2)(f i − f ′ i ) = 0. (1) The theorem can be ... Hamiltonian cycles of the vertex-deleted subgraphs of G the electronic journal of combinatorics 18 (2011), #P85 7 Figure 4: Hamiltonian cycles of the vertex- deleted...

Ngày tải lên: 08/08/2014, 14:23

... discussion of the characters of the symmetric group. Using a result of Stanley we relate these to symmetric function theory and compute a rough bound on the eigenvalues. We then employ the factorial ... χ U . χ V (σ) just counts the number of fixed points of σ, so χ W (σ) = #{fixed points of σ} − 1. (2.1) From (2.1) and Theorem 2.1 the eigenvalue of the derangement...

Ngày tải lên: 07/08/2014, 15:23

... C ∗ ψ,ϕ is the union of the spectrum of A m and the spectrum of C m [1,page 270]. Since A m is a finite dimensional upper-triangular matrix, its spectrum is the eigen- value of A m . By the arguments ... unit ball, then the spectrum of C ψ,ϕ is the set  0,ψ(a),ψ(a)μ  , (2.19) where μ is all p ossible products of ϕ  (a) and a is the only fixed point of ϕ....

Ngày tải lên: 22/06/2014, 06:20

... C ∗ ψ,ϕ is the union of the spectrum of A m and the spectrum of C m [1,page 270]. Since A m is a finite dimensional upper-triangular matrix, its spectrum is the eigen- value of A m . By the arguments ... some clarification in the case of spaces defined on B N (N>1) as the Denjoy-Wolff point may not be well defined. In the proof of Lemma 2.1, a technique is insp...

Ngày tải lên: 22/06/2014, 06:20

... {0, 1, 2, 3} 3 giving the power of i in each component of s, and list the vertices of S in lexicographic order. Then a 4-colouring of the orthogonality graph on S is given by the following: (1, ... win the graph colouring game in the above setting, w.l.o.g. the state is maximally entangled, and the POVM elements are all projectors, all w.l.o.g. of the same rank. Pr...

Ngày tải lên: 07/08/2014, 15:23

... used that, by the choice of ε and δ, we have 2δ = 2ε  µ −1 +  −1  ≤ 1 4 µ( + µ) ≤ 1 4 . This concludes the proof of Lemma 10. 3 Proofs of Theorems 7 and 8 We present the proof of Theorem 7 in ... proves the upper bound for r l in Theorem 8. 3.2.2 Proof of the lower bound for r l We give the proof of the lower bound in Theorem 8 in this section. Suppose G is a (p,...

Ngày tải lên: 07/08/2014, 15:23