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单词 Adjacency matrix
释义

Adjacency matrix

中文百科

邻接矩阵

邻接矩阵是表示一个图的常用存储表示。它用两个数组分别存储数据元素(顶点)的信息和数据元素之间的关系(边或弧)的信息。

距离矩阵可算是邻接矩阵的扩充。

阶为n的图G的邻接矩阵An \times n的。将G的顶点标签为v_1,v_2,...,v_n。若(v_i,v_j) \in E(G)A_{ij}=1,否则A_{ij}=0

无向图的邻接矩阵是对称矩阵。

英语百科

Adjacency matrix 邻接矩阵

In graph theory, computer science and application areas such as sociology, an adjacency matrix is a square matrix used to represent a finite graph. The elements of the matrix indicate whether pairs of vertices are adjacent or not in the graph.

In the special case of a finite simple graph, the adjacency matrix is a (0,1)-matrix with zeros on its diagonal. If the graph is undirected, the adjacency matrix is symmetric. The relationship between a graph and the eigenvalues and eigenvectors of its adjacency matrix is studied in spectral graph theory.

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