Furthermore, we have evaluated the solution for a real application that computes powers of an adjacency matrix of a graph in parallel. We demonstrated superiority of our solution compared to a regular MPI I/O implementation for various powers and numbers of graph nodes. Finally, we presented ...
Our results show that, under the assumption of low traffic load, the power allocation strategy, which guarantees minimal delay, requires the maximization of network connectivity, which can be equivalently interpreted as the maximization of the number of non-zero entries of the adjacency matrix. The...
powers of theadjacency matrixprovide a count of the number of paths between any two vertices. We will see in Chapters 21 and 22 that a sequence of the formAx0,A2x0, …,Ak−1x0forms the basis for series of important methods that solvelinear systemsand compute eigenvalues of large,sparse...
What is the best matrix format for the adjacency matrix of a power-law graph when we perform sparse matrix vector multiplication? I would like to use a format that has both memory efficiency and performance efficiency. CSR and CSC are both memory efficient, but...
Adjacency matrix (邻接矩阵):基因和基因之间的加权相关性值构成的矩阵。 TOM (Topological overlap matrix):把邻接矩阵转换为拓扑重叠矩阵,以降低噪音和假相关,获得的新距离矩阵,这个信息可拿来构建网络或绘制TOM图。 基本分析流程 构建基因共表达网络:使用加权的表达相关性。
You may also want to check out all available functions/classes of the module numpy , or try the search function . Example #1Source File: data_helper.py From LanczosNetwork with MIT License 7 votes def normalize_adj(A, is_sym=True, exponent=0.5): """ Normalize adjacency matrix is_sym=...
示例3: regular_symmetric_hadamard_matrix_with_constant_diagonal ▲点赞 3▼ #...这里部分代码省略...144x144dense matrix over Integer Ring REFERENCE: .. [BH12] \A. BrouwerandW. Haemers, Spectra of graphs, Springer,2012, http://homepages....
The use of power sum symmetric functions leads to Newton's identities, which relate the traces of various powers of A, the adjacency matrix of a graph, and... FM Menger,MJ Sherrod - 《Journal of the American Chemical Society》 被引量: 406发表: 1988年 Carboxime (Isofulminic Acid) The ...
Keywords Inequalities Matrix power Sum of entries Adjacency matrix Number of walks Nonnegative matrix Hermitian matrix Spectral radius Largest eigenvalue 1. Introduction 1.1. Motivation In this work, we investigate powers of Hermitian matrices. We present inequalities relating entries of different powers ...
Normalize adjacency matrix is_sym=True: D^{-1/2} A D^{-1/2} is_sym=False: D^{-1} A """rowsum = np.array(A.sum(1))ifis_sym: r_inv = np.power(rowsum, -exponent).flatten()else: r_inv = np.power(rowsum,-1.0).flatten() ...