# Finding Articulation Points in Undirected Graphdef computeAP(l):n = len(l)outEdgeCount = 0low = [0] * nvisited = [False] * nisArt = [False] * ndef dfs(root, at, parent, outEdgeCount):if parent == root:outEdgeCount += 1visited[at] = Truelow[at] = atfor to in l[at]:if to == parent:passelif not visited[to]:outEdgeCount = dfs(root, to, at, outEdgeCount)low[at] = min(low[at], low[to])# AP found via bridgeif at < low[to]:isArt[at] = True# AP found via cycleif at == low[to]:isArt[at] = Trueelse:low[at] = min(low[at], to)return outEdgeCountfor i in range(n):if not visited[i]:outEdgeCount = 0outEdgeCount = dfs(i, i, -1, outEdgeCount)isArt[i] = (outEdgeCount > 1)for x in range(len(isArt)):if isArt[x] == True:print(x)# Adjacency list of graphl = {0:[1,2], 1:[0,2], 2:[0,1,3,5], 3:[2,4], 4:[3], 5:[2,6,8], 6:[5,7], 7:[6,8], 8:[5,7]}computeAP(l)
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