def dfs(graph, start): visited, stack = set(), [start] while stack: vertex = stack.pop() if vertex not in visited: visited.add(vertex) stack.extend(graph[vertex] - visited) return visited graph = {'A': set(['B', 'C']), 'B': set(['A', 'D', 'E']), 'C': set(['A', 'F']), 'D': set(['B']), 'E': set(['B', 'F']), 'F': set(['C', 'E'])} dfs(graph, 'A') # {'E', 'D', 'F', 'A', 'C', 'B'}