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117 lines
3.6 KiB
Python
117 lines
3.6 KiB
Python
"""
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File: graph_adjacency_matrix.py
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Created Time: 2023-02-23
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Author: krahets (krahets@163.com)
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"""
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import sys
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from pathlib import Path
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sys.path.append(str(Path(__file__).parent.parent))
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from modules import Vertex, print_matrix
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class GraphAdjMat:
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"""Undirected graph class based on adjacency matrix"""
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def __init__(self, vertices: list[int], edges: list[list[int]]):
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"""Constructor"""
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# Vertex list, elements represent "vertex value", index represents "vertex index"
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self.vertices: list[int] = []
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# Adjacency matrix, row and column indices correspond to "vertex index"
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self.adj_mat: list[list[int]] = []
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# Add vertex
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for val in vertices:
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self.add_vertex(val)
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# Add edge
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# Edges elements represent vertex indices
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for e in edges:
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self.add_edge(e[0], e[1])
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def size(self) -> int:
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"""Get the number of vertices"""
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return len(self.vertices)
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def add_vertex(self, val: int):
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"""Add vertex"""
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n = self.size()
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# Add new vertex value to the vertex list
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self.vertices.append(val)
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# Add a row to the adjacency matrix
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new_row = [0] * n
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self.adj_mat.append(new_row)
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# Add a column to the adjacency matrix
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for row in self.adj_mat:
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row.append(0)
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def remove_vertex(self, index: int):
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"""Remove vertex"""
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if index >= self.size():
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raise IndexError()
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# Remove vertex at `index` from the vertex list
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self.vertices.pop(index)
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# Remove the row at `index` from the adjacency matrix
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self.adj_mat.pop(index)
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# Remove the column at `index` from the adjacency matrix
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for row in self.adj_mat:
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row.pop(index)
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def add_edge(self, i: int, j: int):
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"""Add edge"""
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# Parameters i, j correspond to vertices element indices
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# Handle index out of bounds and equality
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if i < 0 or j < 0 or i >= self.size() or j >= self.size() or i == j:
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raise IndexError()
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# In an undirected graph, the adjacency matrix is symmetric about the main diagonal, i.e., satisfies (i, j) == (j, i)
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self.adj_mat[i][j] = 1
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self.adj_mat[j][i] = 1
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def remove_edge(self, i: int, j: int):
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"""Remove edge"""
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# Parameters i, j correspond to vertices element indices
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# Handle index out of bounds and equality
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if i < 0 or j < 0 or i >= self.size() or j >= self.size() or i == j:
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raise IndexError()
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self.adj_mat[i][j] = 0
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self.adj_mat[j][i] = 0
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def print(self):
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"""Print adjacency matrix"""
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print("Vertex list =", self.vertices)
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print("Adjacency matrix =")
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print_matrix(self.adj_mat)
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"""Driver Code"""
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if __name__ == "__main__":
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# Initialize undirected graph
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# Edges elements represent vertex indices
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vertices = [1, 3, 2, 5, 4]
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edges = [[0, 1], [0, 3], [1, 2], [2, 3], [2, 4], [3, 4]]
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graph = GraphAdjMat(vertices, edges)
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print("\nAfter initialization, the graph is")
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graph.print()
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# Add edge
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# Indices of vertices 1, 2 are 0, 2 respectively
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graph.add_edge(0, 2)
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print("\nAfter adding edge 1-2, the graph is")
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graph.print()
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# Remove edge
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# Indices of vertices 1, 3 are 0, 1 respectively
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graph.remove_edge(0, 1)
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print("\nAfter removing edge 1-3, the graph is")
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graph.print()
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# Add vertex
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graph.add_vertex(6)
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print("\nAfter adding vertex 6, the graph is")
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graph.print()
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# Remove vertex
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# Index of vertex 3 is 1
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graph.remove_vertex(1)
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print("\nAfter removing vertex 3, the graph is")
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graph.print()
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