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The Stacked Linear Algebra Graph implements a directed graph with a weight on each vertex and edge. The graph models vertices and adjacency matrices as GraphBLAS sparse vectors and matrices ...
In this paper we consider some problems of graph theory from the linear algebra point of view. It turns out, that this approach allows us to prove certain theorems on minimum edge coverings and ...
The method leverages the graph Laplacian, a matrix that represents pairwise relationships between data points. The Laplacian matrix, defined as L=D−A (where A is the similarity matrix and D is the ...
The GraphBLAS, Basic Linear Algebra Subprograms for Graphs, is a community-driven, open programming specification for graph analysis. The specification makes the development of high-performance graph ...
In this paper, we consider some known problems of graph theory from the linear algebra point of view. Studying features of vector spaces over characteristic-two finite field allows us to reprove the ...
Graph algorithms can be expressed as sequences of linear, algebra-like operations through the use of the adjacency matrix. Adjacency matrices are used to represent graphs instead of vertices and edges ...
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