Báo cáo toán học: "On the First Eigenvalue of Bipartite Graphs" ppt

... 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. ... the expressions for the statistical properties of the channel capacity C(t). Again, by applying the concept of transformation of random variables...

Ngày tải lên: 20/06/2014, 20:20

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Ngày tải lên: 05/08/2014, 09:46

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Ngày tải lên: 05/08/2014, 10:20

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Ngày tải lên: 05/08/2014, 15:20

... Vietnam Journal of Mathematics 33:3 (2005) 261–270 On the Asymptotic Distribution of the Bootstrap Estimate with Random Resample Size * Nguyen Van Toan Department of Mathematics, College of Science, Hue ... the bootstrap with random resample size which is not independent of the original sample. We find sufficient conditions on the random resample siz...

Ngày tải lên: 06/08/2014, 05:20

... solution. Vietnam Journal of Mathematics 34:2 (2006) 163–170 On the Asymptotic Behavior of Solutions of a Nonlinear Difference Equation with Bounded Multiple Delay Dinh Cong Huong Hanoi Univ. of Science, ... Stable orbits and bifurcation of maps of the interval, Siam J. App. Math. 35 (1978) 260–267. On the Asymptotic Behavior of Solutions of a...

Ngày tải lên: 06/08/2014, 05:20

... On the other hand, many properties of the associated quantum groups to these solutions are obtained in an abstract way. The aim of this work is to study representation category of the matrix quantum ... E ij λ is the matrix of the basis element e ij λ in the representation ρ n ,the matrix C is given in (5). In particular, the left hand-side is zero...

Ngày tải lên: 06/08/2014, 05:20

... V is either in γ or is adjacent to a vertex in γ.Thedomination number D of G is the size of a dominating set of smallest cardinality. Domination has been the subject of extensive research; see ... zero as n →∞. The treatises of Bollob´as [2] and Janson et al. [8] between them cover the theory of random graphs in admirable detail. Dreyer [3] generalizes some resul...

Ngày tải lên: 07/08/2014, 06:22

... Z(5,z)+2η ≤ cr D 5,z . Proof:Let h(t k ) be the sum of the number of crossings of the edges of t k with edges not incident on any vertex of T .Lett min be the element of T such that h(t min ) ... e 2 connecting the two endpoints of e 1 and such that there are points of e 2 both inside and outside the closed curve. Definition 2 The crossing number cr G of a...

Ngày tải lên: 07/08/2014, 07:21

... vertex. 2. The initial vertex of the next edge is v(j, ∓k). 3. Determine the direction of the next edge by the sign of the entry ∓k in list j and the direction of the preceding edge according to the ... combining the information about the direction of the first edge with the corresponding crossing yields a rule for the direction of the second edge. If...

Ngày tải lên: 07/08/2014, 08:20

... 2z belongs to B ∗ . the electr onic journal of combinatorics 11 (2004), #R52 5 On the chromatic number of intersection graphs of convex sets in the plane ∗ Seog-Jin Kim Department of Mathematics University ... −M(C) 4 Intersection graphs of convex sets with different sizes In this section, we study a more general case. Two convex sets K, D on t...

Ngày tải lên: 07/08/2014, 08:20

... 05C30 Abstract There are many applications of the enumeration of maps in surfaces to other areas of mathematics and the physical sciences. In particular, in quantum field theory and string theory, there ... i 1  (i − 1) (p, q, n)-dipoles of the second type. In fact, even when considering different rootings of the same dipole, we can obtain different expressions for the...

Ngày tải lên: 07/08/2014, 15:22

... SDP bound for the nonbinary case was given in [5]. However, the computation of LP and SDP bounds is not tractable for large values of n. In this case the best bound is the well-known Johnson bound ... satisfied by the number of elements of certain codes lying in k-dimensional subspaces of the Hamming Space. The method suffices to give the first proof, that t...

Ngày tải lên: 07/08/2014, 15:23

... is the purpose of the present work to fill this gap, and in the course of doing so, we obtain the involution analogues of the corresponding results on permutations. The point of departure of this ... des σ and maj σ denote respectively the number of fixed points, the number of transpositions, the number of descents, and the major index, of σ, on the class...

Ngày tải lên: 07/08/2014, 21:20

... n 2  2. Then for e  5 the theorem follows from Theorem 5.4 for r = 2 and Theorem 4.1. For e = 3 the theorem is trivial. For r  3 the theorem follows f r om Proposition 5.3, Theorem 5.4 and Theorem ... absolute values of the eigenvalues. The ma- trix B fr om (2.1) satisfies B 2 =  AA ⊤ 0 0 A ⊤ A  , and so the eigenvalues of B 2 are those of AA ⊤ together with those of A...

Ngày tải lên: 07/08/2014, 21:21