On the distance spectrum of graphs. Linear Algebra Appl. 2013;439:1662-1669.Lin H, Hong Y, Wang J, Shu J. On the distance spectrum of graphs. Linear Algebra Appl. 2013;439:1662-1669.LIN Hui-qiu, YUAN Hong, WANG Jian-feng, et al. On the distance spectrum of graphs[J]. Linear ...
A Proof of a Conjecture on the Distance Spectral Radius and Maximum Transmission of Graphs Let G be a simple connected graph, and D ( G ) be the distance matrix of G . Suppose that \\(D_{\\max }(G)\\) and \\(\\lambda _1(G)\\) are the maximum r... L Liu,H Shan,C He...
We write ∂iL in place of ∂iL(G) if the graph is clear from the context. If G has k distinct distance Laplacian eigenvalues say ∂1L(G),∂2L(G),…,∂kL(G) with corresponding multiplicities as n1,n2,…,nk, then we write the spectrum of G as (∂1L(n1),∂2L(n2),...
The spectrum of neighborhood corona of graphs Given two graphs G1 with vertices -v1, v2,…vn} and G2, the neighbourhood corona, G1*G2 is the graph obtained by taking n copies of G2 and for each i, making all vertices in the ith copy of G2 adjacent with the neighbours of vi, ...
Distance-Spectrum Formulas on the Largest Minimum Distance of Block Codes. Presents information on a study which described a general formula for the asymptotic largest minimum distance of deterministic block codes under generalize... Po-Ning,Chen,Tzong-Yow,... - 《IEEE Transactions on Information ...
1.1 The Main Challenges of Signal Processing on Graphs 目前的研究现状:使用 wavelet, time-frequency, curvelet and other localized transforms 可以很好的将 Euclidean space 上的高维不同类数据区分开来,但对 non-Euclidean space 上的数据却无有效手段。 传统的 signal processing techniques 忽略了 irregular data...
Microgrids are power distribution systems that can operate either in a grid-connected configuration or in an islanded manner, depending on the availability of decentralized power resources, such as sustainable or non-sustainable power sources, battery ba
interactions between different cortical locations are approximated by a homogeneous spatial kernel that declines roughly exponentially with distance22, in line with experimental evidence that the organization of the nervous systems of numerous species is universally governed by an exponential distance rule (...
By assigning a probability measure via the spectrum of the normalized Laplacian to each graph and using Lp Wasserstein distances between probability measures, we define the corresponding spectral distances dp on the set of all graphs. This approach can even be extended to measuring the distances betw...
Conventional nanophotonic schemes minimise multiple scattering to realise a miniaturised version of beam-splitters, interferometers and optical cavities for light propagation and lasing. Here instead, we introduce a nanophotonic network built from multip