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@ -38,6 +38,77 @@ def dfs_visit(g, v, results, parent=None):
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results.finish_time[v] = results.t
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results.order.append(v)
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def classify_iter(g):
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edges = {}
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visited = set()
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t = 0
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start_time = {}
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finish_time = {}
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for u in g.vertices():
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if u in visited:
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continue
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continuations = [
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('node:start', u, None),
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]
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print("Stack:")
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for cont in continuations:
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print("-", cont)
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while len(continuations) > 0:
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state, u, more = continuations.pop()
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if state == 'node:start':
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continuations.append(('node:end', u, None))
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parent = more
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print("Recurse:", u, parent)
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visited.add(u)
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t += 1
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start_time[u] = t
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if parent is not None:
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edges[(parent, u)] = 'tree'
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continuations.append(('node:neighbors', u, 0))
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elif state == 'node:neighbors':
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i = more
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print("Remaining Neighbors:", g.neighbors(u)[i:])
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neighbors = g.neighbors(u)[i:]
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for i in range(len(neighbors)):
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v = neighbors[i]
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if v not in visited:
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continuations.append(('node:neighbors', u, i + 1))
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continuations.append(('node:start', v, u))
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break
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elif v not in finish_time:
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edges[(u, v)] = 'back'
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elif start_time[u] < start_time[v]:
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edges[(u, v)] = 'forward'
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else:
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edges[(u, v)] = 'cross'
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elif state == 'node:end':
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t += 1
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finish_time[u] = t
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print("Stack:")
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for cont in continuations:
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print("-", cont)
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return edges
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# Graph structure
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class Graph:
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def __init__(self):
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@ -57,24 +128,36 @@ class Graph:
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# Example usage:
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g = Graph()
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g.add_edge(0, 1)
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g.add_edge(1, 2)
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g.add_edge(2, 3)
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g.add_edge(3, 0)
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g.add_edge(3, 4)
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g.add_edge(4, 5)
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g.add_edge(5, 0)
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g.add_edge(4, 2)
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# g.add_edge(0, 1)
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# g.add_edge(1, 2)
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# g.add_edge(2, 3)
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# g.add_edge(3, 0)
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# g.add_edge(3, 4)
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# g.add_edge(4, 5)
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# g.add_edge(5, 0)
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# g.add_edge(4, 2)
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# g.add_edge(0, 2)
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g.add_edge(0, 1)
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g.add_edge(1, 2)
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g.add_edge(0, 2)
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# g.add_edge("u", "v")
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# g.add_edge("u", "x")
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# g.add_edge("v", "y")
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# g.add_edge("y", "x")
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# g.add_edge("x", "v")
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# g.add_edge("w", "y")
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# g.add_edge("w", "z")
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# Running DFS
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results = dfs(g)
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# results = dfs(g)
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# print("Parent Map:", results.parent)
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# print("Start Times:", results.start_time)
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# print("Finish Times:", results.finish_time)
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# print("Edge Classifications:", results.edges)
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# print("DFS Order:", results.order)
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# Running Iterative DFS
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edges = classify_iter(g)
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print("Edge Classifications:", edges)
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print("Parent Map:", results.parent)
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print("Start Times:", results.start_time)
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print("Finish Times:", results.finish_time)
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print("Edge Classifications:", results.edges)
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print("DFS Order:", results.order)
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