Báo cáo toán học: " Coverings, heat kernels and spanning trees" ppt

... a graph G and a covering ˜ G of G and we study the relations of their eigenvalues and heat kernels. We evaluate the heat kernel for an infinite k-regular tree and we examine the heat kernels for ... Coverings, heat kernels and spanning trees Fan Chung †∗ University of Pennsylvania Philadelphia, Pennsylvania ... path P with vertices v 0 , ,v p where p = D(G). Suppose...

Ngày tải lên: 07/08/2014, 06:20

... way; and graphs G 1 and G 2 represent the same two-graph if and only if they are related by switching withrespecttoasetY of vertices. (This operation consists of interchanging adjacency and non-adjacency ... Bernstein and N. J. A. Sloane, Some canonical sequences of integers, to appear in Linear Algebra and Appl. 2. P. J. Cameron, Two-graphs and trees, Discrete Math. 127 (1994),...

Ngày tải lên: 07/08/2014, 06:20

... F. R. K. Chung, Laplacians and the Cheeger inequality for directed graphs, Ann. of Comb., 9 (2005), 1–19. [3] F. R. K. Chung and S T. Yau, Coverings, heat kernels, and spanning trees, Electron. J. ... the methods of [3] and use them to compare the eigenvalues and eigenfunctions of the base and the cover graphs. As an application, we calculate the heat kernel of the homesi...

Ngày tải lên: 07/08/2014, 21:21

... MATHEMATICA. The PDF p C (r) and the CDF F C (r) of the capacity C(t) of N∗Nakagami-m channels are presented in Figures 2 and 3, respectively. Also, the approximation results obtained in (23) and (24) are shown ... values of the fading parameter m n and the numb er of hops N in N∗Nakagami-m channels. In Figures 4 and 5, we have also included the approximations obtained in (25) and...

Ngày tải lên: 20/06/2014, 20:20

... useful and crucial for our following results. Lemma 3.2 Let E be a closed interval on the real line and T : E → E be a con- tinuous and nondecreasing mapping such that F(T ) is nonempty and bounded ... u 1 > u 1 and Tx 1 > x 1 . By using (1.9), (1.11) and the same argument as in Case 1, we can show that x n ≥ u n for all n ≥ 1. We note that x 1 < L and by using (1.11)...

Ngày tải lên: 20/06/2014, 20:20

... suppress the acoustic echo and the noise signal with a single gain based on soft decision. For this, the noise and echo spectral are separately and efficiently estimated and combined by a single ... between the microphone input and the estimate echo, and (2) the cross-correlation coefficient between microphone input and the residual error of the suppressor are computed and used to...

Ngày tải lên: 20/06/2014, 20:20

... article. Authors’ contributions OS and YS treated the patient and wrote the case report. HK and MTG critically revised the manuscript. All authors read and approved the final manuscript. ... imbalance between oxygen demand and supply, intense sympathetic stimulation, non-atherosclerotic coronary disease, coronary trauma, coronary vasospasm, coronary thrombosis, and endo...

Ngày tải lên: 20/06/2014, 20:20

... on appropriate scales of space and time, and the quality and quantity of data should be representative and interpretable. Criteria for selecting monitoring sites and regions include representativeness ... supported by an adequate and efficient information platform that handles documentation and exchange of metadata (site descriptions, quality control data), measuring data a...

Ngày tải lên: 20/06/2014, 20:20

... contributed in the concept and design of the study, in acquiring data, in analyzing and interpreting data, and in drafting the manuscript and has critically contributed to and revised the manuscript, ... first author and has taken part in all aspects of preparing the manuscript. PM has contributed in the concept and design of the study, in acquiring preclinical data, and i...

Ngày tải lên: 20/06/2014, 20:20

... and MA carried out the design of the study and performed the analysis. MEO (adviser) participated in its design and coordination. All authors read and approved the final manuscript. References [1] ... = f(u, y) and f x : [c, d] → R, f x (v) = f(x, v) are convex where defined for all y ∈ [c, d] and x ∈ [a, b ]. Recall that SOME INTEGRAL INEQUALITIES 15 Computing the above integrals...

Ngày tải lên: 20/06/2014, 21:20