6.3
测试:a + b = c ###
==6.3 图的矩阵表示==
矩阵是图的一种重要代数表示,它将图的拓扑结构转化为数值阵列,便于利用代数工具(如矩阵乘法、特征值)分析图的路径与连通性质。本节涵盖四种核心矩阵。
==🔷 6.3.1 无向图的关联矩阵==
定义:设无向图 G = ⟨V, E⟩,其中
V = {v1, v2, …, vn},E = {e1, e2, …, em}。定义矩阵
M(G) = (mij)n × m,其中
mij
是顶点 vi
与边 ej
的关联次数(取值为 0, 1, 2)。
示例矩阵: $$
\Large
\left[
\begin{array}{c|rrrrr}
& e_1 & e_2 & e_3 & e_4 & e_5 \\
\hline
v_1 & 1 & 1 & 1 & 0 & 0 \\
v_2 & 0 & 1 & 1 & 1 &...
初始之作
这是测试段落 测试:a + b = c
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