Báo cáo toán hoc:"On the unitary Cayley graph of a finite ring" pot

... 8 On the unitary Cayley graph of a finite ring Reza Akhtar Department of Mathematics Miami University reza@calico.mth.muohio.edu Megan Boggess Columbia Union College meganboggess@gmail.com Tiffany ... is the tensor product of the matrices A( G) and A( H), and that the eigenvalues of a tensor product of matrices may be found by taking products of the eig env...

Ngày tải lên: 08/08/2014, 01:20

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Ngày tải lên: 05/08/2014, 15:21

... otherwise. The meaning of the existence of t B (i) is similar as in Remark 2.3. 3 Proof of Theorem 1.2 We start with an outline of the proof. First, we redefine the sequence B by adding k to all ... mod k, achieves this bound. Hence, the Tur´an density for finite and infinite K k+1 –free graphs is the same. In this paper we study the edge density of graphs without an...

Ngày tải lên: 07/08/2014, 15:23

... 26 circulant generalization of these graphs for arbitrar y n. We refer to G n as the (undirected) quadratic unitary Cayley graph on Z n . We present some structural properties o f quadratic unitary Cayley ... row-swaps, and symplectic row-additions/subtractions. We also characterize the conditions under which quadratic unitary graphs ar e perfect, by examining special cases...

Ngày tải lên: 08/08/2014, 12:22

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Ngày tải lên: 05/08/2014, 15:20

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Ngày tải lên: 05/08/2014, 15:21

... Heidelberg, Berlin, 1978. 4. D. L. Hanson and L. H. Koopman, On the convergence rate of the law of large numbers for linear combinations of independent random variables, Ann. Math. Statist. 36 (1965) 559–564. 5. ... mean 0 random variables, (a nk ) be any array of r eal numbers and (m n ) be any sequence of positive integers such that m n →∞.Then m n  k=1 a nk X k → 0 a. s....

Ngày tải lên: 06/08/2014, 05:20

... of the polyomino has the maximal ordinate among all the cells of the polyomino; U2 : the lowest cell of the rightmost column of the polyomino has the minimal ordinate among all the cells of the ... G(x)+xS B (x)+xB g (x). (41) Many of the terms of the system are already known, and as a consequence the equa- tions for A a,b (x), B a, b (x), A r (x...

Ngày tải lên: 07/08/2014, 08:20

... for z varying in a cone of the complex plane, rather than the more customary real line. In this way we can avail ourselves of the comparatively simple Structure Theorem (as stated above in Theorem ... It is pleasant to note that the P´olya-Carlson Theorem was earlier employed in a similar fashion [2] in order to establish a structural lower bound in the theory of formal...

Ngày tải lên: 07/08/2014, 08:22

... exists a true quadra- tic mapping near an approximately quadratic mapping. Theorem 3.2 Assume that a mapping f : X ® Y satisfies f(0) = 0 and inequality (3.3). Then there exists a unique quadratic ... function case, the reader is referred to Forti [4] and Găvruta [5]. Let X be a real normed space and Y be a real Banach space in the case of functional inequalities, as well as l...

Ngày tải lên: 20/06/2014, 22:20