diff options
Diffstat (limited to 'data_structures_and_algorithms/topo-sort.py')
-rw-r--r-- | data_structures_and_algorithms/topo-sort.py | 31 |
1 files changed, 31 insertions, 0 deletions
diff --git a/data_structures_and_algorithms/topo-sort.py b/data_structures_and_algorithms/topo-sort.py new file mode 100644 index 000000000000..fe295b0279ff --- /dev/null +++ b/data_structures_and_algorithms/topo-sort.py @@ -0,0 +1,31 @@ +from fixtures import unweighted_digraph +from collections import deque + +# vertices_no_in_edges :: UnweightedDigraph -> Set(Vertex) +def vertices_no_in_edges(g): + """Return the vertices in graph `g` with no in-edges.""" + result = set() + vertices = set(g.keys()) + for neighbors in g.values(): + result = result.union(neighbors) + return vertices ^ result + +# topo_sort :: UnweightedDigraph -> List(Vertex) +def topo_sort(g): + q = deque() + seen = set() + result = [] + for x in vertices_no_in_edges(g): + q.append(x) + while q: + vertex = q.popleft() + if vertex in seen: + continue + result.append(vertex) + neighbors = g.get(vertex) + for x in g.get(vertex): + q.append(x) + seen.add(vertex) + return result + +print(topo_sort(unweighted_digraph)) |