from __future__ import print_function # a # / \ # b c # / \ # d e edges = {'a': ['c', 'b'], 'b': ['d', 'e'], 'c': [], 'd': [], 'e': []} vertices = ['a', 'b', 'c', 'd', 'e'] def topological_sort(start, visited, sort): """Perform topolical sort on a directed acyclic graph.""" current = start # add current to visited visited.append(current) neighbors = edges[current] for neighbor in neighbors: # if neighbor not in visited, visit if neighbor not in visited: sort = topological_sort(neighbor, visited, sort) # if all neighbors visited add current to sort sort.append(current) # if all vertices haven't been visited select a new one to visit if len(visited) != len(vertices): for vertice in vertices: if vertice not in visited: sort = topological_sort(vertice, visited, sort) # return sort return sort if __name__ == '__main__': sort = topological_sort('a', [], []) print(sort)