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@@ -1130,7 +1130,80 @@ Below is the implementation code for graphs represented using an adjacency matri
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=== "Ruby"
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```ruby title="graph_adjacency_matrix.rb"
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[class]{GraphAdjMat}-[func]{}
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### 基于邻接矩阵实现的无向图类 ###
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class GraphAdjMat
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def initialize(vertices, edges)
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### 构造方法 ###
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# 顶点列表,元素代表“顶点值”,索引代表“顶点索引”
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@vertices = []
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# 邻接矩阵,行列索引对应“顶点索引”
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@adj_mat = []
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# 添加顶点
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vertices.each { |val| add_vertex(val) }
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# 添加边
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# 请注意,edges 元素代表顶点索引,即对应 vertices 元素索引
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edges.each { |e| add_edge(e[0], e[1]) }
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end
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### 获取顶点数量 ###
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def size
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@vertices.length
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end
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### 添加顶点 ###
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def add_vertex(val)
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n = size
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# 向顶点列表中添加新顶点的值
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@vertices << val
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# 在邻接矩阵中添加一行
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new_row = Array.new(n, 0)
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@adj_mat << new_row
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# 在邻接矩阵中添加一列
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@adj_mat.each { |row| row << 0 }
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end
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### 删除顶点 ###
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def remove_vertex(index)
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raise IndexError if index >= size
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# 在顶点列表中移除索引 index 的顶点
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@vertices.delete_at(index)
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# 在邻接矩阵中删除索引 index 的行
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@adj_mat.delete_at(index)
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# 在邻接矩阵中删除索引 index 的列
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@adj_mat.each { |row| row.delete_at(index) }
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end
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### 添加边 ###
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def add_edge(i, j)
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# 参数 i, j 对应 vertices 元素索引
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# 索引越界与相等处理
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if i < 0 || j < 0 || i >= size || j >= size || i == j
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raise IndexError
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end
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# 在无向图中,邻接矩阵关于主对角线对称,即满足 (i, j) == (j, i)
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@adj_mat[i][j] = 1
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@adj_mat[j][i] = 1
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end
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### 删除边 ###
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def remove_edge(i, j)
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# 参数 i, j 对应 vertices 元素索引
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# 索引越界与相等处理
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if i < 0 || j < 0 || i >= size || j >= size || i == j
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raise IndexError
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end
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@adj_mat[i][j] = 0
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@adj_mat[j][i] = 0
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end
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### 打印邻接矩阵 ###
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def __print__
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puts "顶点列表 = #{@vertices}"
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puts '邻接矩阵 ='
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print_matrix(@adj_mat)
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end
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end
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```
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=== "Zig"
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@@ -2233,7 +2306,73 @@ Additionally, we use the `Vertex` class to represent vertices in the adjacency l
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=== "Ruby"
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```ruby title="graph_adjacency_list.rb"
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[class]{GraphAdjList}-[func]{}
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### 基于邻接表实现的无向图类 ###
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class GraphAdjList
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attr_reader :adj_list
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### 构造方法 ###
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def initialize(edges)
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# 邻接表,key:顶点,value:该顶点的所有邻接顶点
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@adj_list = {}
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# 添加所有顶点和边
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for edge in edges
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add_vertex(edge[0])
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add_vertex(edge[1])
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add_edge(edge[0], edge[1])
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end
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end
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### 获取顶点数量 ###
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def size
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@adj_list.length
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end
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### 添加边 ###
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def add_edge(vet1, vet2)
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raise ArgumentError if !@adj_list.include?(vet1) || !@adj_list.include?(vet2)
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@adj_list[vet1] << vet2
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@adj_list[vet2] << vet1
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end
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### 删除边 ###
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def remove_edge(vet1, vet2)
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raise ArgumentError if !@adj_list.include?(vet1) || !@adj_list.include?(vet2)
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# 删除边 vet1 - vet2
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@adj_list[vet1].delete(vet2)
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@adj_list[vet2].delete(vet1)
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end
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### 添加顶点 ###
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def add_vertex(vet)
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return if @adj_list.include?(vet)
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# 在邻接表中添加一个新链表
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@adj_list[vet] = []
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end
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### 删除顶点 ###
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def remove_vertex(vet)
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raise ArgumentError unless @adj_list.include?(vet)
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# 在邻接表中删除顶点 vet 对应的链表
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@adj_list.delete(vet)
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# 遍历其他顶点的链表,删除所有包含 vet 的边
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for vertex in @adj_list
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@adj_list[vertex.first].delete(vet) if @adj_list[vertex.first].include?(vet)
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end
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end
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### 打印邻接表 ###
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def __print__
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puts '邻接表 ='
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for vertex in @adj_list
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tmp = @adj_list[vertex.first].map { |v| v.val }
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puts "#{vertex.first.val}: #{tmp},"
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end
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end
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end
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```
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=== "Zig"
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