是一种类似 reverse Cuthill-McKee 算法的策略,只是这里并不按照 degree 升序排列,而是使用 pseudo degree。在 reverse Cuthill-McKee 算法中,本质上我们使用的是 BFS,King ordering 里面的 pseudo degree 就是只 BFS 尚未遍历到的顶点个数。 Minimal degree ordering 这是一种贪心策略,每次从图里面去掉一个 degree ...
Cuthill-McKee algorithmSparse matrixIn this paper the authors examine the popular Cuthill-McKee algorithm for ordering the unknowns and equations in sparse, positive definite linear systems of equations. For a given linear system Ax = b, this algorithm is designed to produce a permutation matrix P...
1997. The Algorithm Design Manual. Springer-Verlag New York, Inc., New York, NY, USA.例子:>>> from networkx.utils import reverse_cuthill_mckee_ordering >>> G = nx.path_graph(4) >>> rcm = list(reverse_cuthill_mckee_ordering(G)) >>> A = nx.adjacency_matrix(G, nodelist=rcm)...
The algorithm first finds a pseudoperipheral vertex of the graph of the matrix. It then generates a level structure by breadth-first search and orders the vertices by decreasing distance from the pseudoperipheral vertex. The implementation is based closely on the SPARSPAK implementation described by...
Reorder a sparse matrix using the Reverse Cuthill-McKee and the Nested Dissection algorithm Plot the original and reorderd matrices side-by-side Output statistics about both matrices (e.g., size, number of non-zeros, fill-in factor, bandwidth) ...
Chan, W.M., George, A.: A linear time implementation of the reverse cuthill-mckee algorithm. BIT 20 (1), 8–14 (1980)W. Chan and A. George, A linear time implementation of the reverse Cuthill-McKee algorithm, BIT, Vol. 20, 1980, pp. 8-14....
If one wishes to exploit zeros in the band of A which occur before the first nonzero in each row and column, it has been experimentally observed that reversing the ordering produced by the Cuthill-McKee algorithm is often very much better than the original ordering in terms of the amount ...
A linear time implementation of the reverse Cuthill-McKee algorithm. BIT Numerical Mathematics, 20(1):8-14, 1980.Chan, W., and George, A. A linear time implementation of the reverse Cuthill- McKee algorithm. BIT Numerical Mathematics, Volume 20, Issue 1, pages 8-14, 1980....
bandwidthgraph theoryfinite element systemWe present an algorithm which uses a new relation vector called the adjacent elements of each node and multiple roots to replace the adjacent nodes of each node and single root, which are used in the reverse CuthillMcKee (RCM) method. The adjacent ...
cuthill_mckee_ordering(G, heuristic=None)生成图节点的排序(排列)以制作稀疏矩阵。使用Cuthill-McKee启发式(基于广度优先搜索)[1]。参数: G:图形 NetworkX 图 heuristic:函数,可选 用于选择 RCM 算法的起始节点的函数。如果 None 使用来自 pseudo-peripheral 对的节点。可以提供一个用户定义的函数,它接受一个图形...