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class Graph: def __init__(self): self.V = []class Vertex: def __init__(self, x): self.key = x self.color = ‘white‘ self.d = 10000 self.f = 10000 self.pi = None self.adj = []class Solution: def Dfs(self, G): for u in G.V: u.color = ‘white‘ u.pi = None global time time = 0 for u in G.V: if u.color == ‘white‘: list=[u] self.DfsVisit(G, u, list) print ‘‘.join([i.key for i in list]) def DfsVisit(self, G, u, list): global time time = time + 1 u.d = time u.color = ‘gray‘ for v in u.adj: if v.color == ‘white‘: list.append(v) v.pi = u self.DfsVisit(G, v, list) u.color = ‘black‘ time = time + 1 u.f = time def GraphTransposition(self, G): for u in G.V: u.adj = (u.adj,[]) for u in G.V: for v in u.adj[0]: v.adj[1].append(u) for u in G.V: u.adj = u.adj[1] return G def StronglyConnectedComponents(self, G): self.Dfs(G) G_Transposition = self.GraphTransposition(G) G_Transposition.V.sort(key=lambda v: v.f, reverse=True) self.Dfs(G_Transposition)if __name__ == ‘__main__‘: a,b,c,d,e,f,g,h = [Vertex(i) for i in [‘a‘,‘b‘,‘c‘,‘d‘,‘e‘,‘f‘,‘g‘,‘h‘]] a.adj = [b] b.adj = [c,e,f] c.adj = [d,g] d.adj = [c,h] e.adj = [a,f] f.adj = [g] g.adj = [f,h] h.adj = [h] G = Graph() G.V = [a,b,c,d,e,f,g,h] m = Solution() m.StronglyConnectedComponents(G)
[演算法導論]強連通分量 @ Python