normalized Laplacian matrixLet G be a finite group and Γ be a (di)graph. Then Γ is called an n-Cayley (di)graph over G if Aut(Γ) admits a semiregular subgroup isomorphic to G with n orbits on V(Γ). In this paper, we determine the normalized Laplacian polynomial of n-Cayley (...
For complete clarity, this is how igraph (and most authors) define the Laplacian L of an undirected graph with adjacency matrix A: L=D−A, where D is a diagonal matrix containing the degrees. More precisely, Dii=∑jAij, keeping in mind that A is symmetric. The normalized version is ...
关键词: Entanglement Laplacian matrix Graph Quantum DOI: 10.1016/j.disc.2015.12.001 被引量: 9 年份: 2016 收藏 引用 批量引用 报错 分享 全部来源 免费下载 求助全文 全文购买 Elsevier Elsevier (全网免费下载) 国家科技图书文献中心 (权威机构) 掌桥科研 dx.doi.org 查看更多 相似文献 参考文献 引证文献...
Many interesting graphs have rich structure which can help in determining the eigenvalues associated with a particular graph matrix. This survey looks at some common techniques in working with and determining the eigenvalues associated with the normalized Laplacian matrix, in addition to some algebraic ...
基于图论的方法是将基因表达数据的样本视为高维空间中的点其低样本特性决定了构造的矩阵规模较小从而具有较低的运算复针对基因表达数据的小样本特性作者提出一种基于normalizedcut的基因表达数据聚类方法首先以点与点之间的亲近程度构造赋权图通过所得的亲近矩阵和度矩阵构造正规laplacian矩阵进而对laplacian矩阵进行svd分解...
(using the aforementioned one-line-per-entry format) or span many text files per . The -d flag is required for the algorithm to know the dimensions of the affinity matrix. -k is the number of top eigenvectors from the normalized graph Laplacian in the SSVD step 亲合力矩阵可以在一个唯一...
We give a construction of a family of (weighted) graphs that are pairwise cospectral with respect to the normalized Laplacian matrix, or equivalently probability transition matrix. This construction can be used to form pairs of cospectral graphs with dif
We solve the graph-cut problem using spectral clustering with generalized eigen-decomposition and show that the second smallest eigenvector provides a cutting so- lution since its absolute value indicates the likelihood that a token belongs to a foreground object....
The electrical power system fragile section identification method based on the normalized-cut comprises a first step of establishing a suitable electrical power system graph theory model, a second step of establishing a laplacian matrix and a similarity matrix of the electrical power system graph ...
The learned graph is consistent with equivalence and nonequivalence pairwise relationships, and thus it can better represent similarity between samples. Meanwhile, our approach, unlike metric learning, automatically determines the scale factor during the optimization. The learned normalized Laplacian matrix ...