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58 lines
1.6 KiB
58 lines
1.6 KiB
"""
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File: graph_dfs.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, vets_to_vals, vals_to_vets
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from graph_adjacency_list import GraphAdjList
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def dfs(graph: GraphAdjList, visited: set[Vertex], res: list[Vertex], vet: Vertex):
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"""Depth-first traversal helper function"""
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res.append(vet) # Record visited vertex
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visited.add(vet) # Mark the vertex as visited
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# Traverse all adjacent vertices of that vertex
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for adjVet in graph.adj_list[vet]:
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if adjVet in visited:
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continue # Skip already visited vertices
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# Recursively visit adjacent vertices
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dfs(graph, visited, res, adjVet)
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def graph_dfs(graph: GraphAdjList, start_vet: Vertex) -> list[Vertex]:
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"""Depth-first traversal"""
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# Use adjacency list to represent the graph, to obtain all adjacent vertices of a specified vertex
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# Vertex traversal sequence
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res = []
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# Hash set, used to record visited vertices
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visited = set[Vertex]()
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dfs(graph, visited, res, start_vet)
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return res
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"""Driver Code"""
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if __name__ == "__main__":
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# Initialize undirected graph
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v = vals_to_vets([0, 1, 2, 3, 4, 5, 6])
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edges = [
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[v[0], v[1]],
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[v[0], v[3]],
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[v[1], v[2]],
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[v[2], v[5]],
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[v[4], v[5]],
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[v[5], v[6]],
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]
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graph = GraphAdjList(edges)
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print("\nAfter initialization, the graph is")
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graph.print()
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# Depth-first traversal
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res = graph_dfs(graph, v[0])
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print("\nDepth-first traversal (DFS) vertex sequence is")
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print(vets_to_vals(res))
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