diff options
Diffstat (limited to 'users/wpcarro/scratch/facebook/topo-sort.py')
-rw-r--r-- | users/wpcarro/scratch/facebook/topo-sort.py | 61 |
1 files changed, 61 insertions, 0 deletions
diff --git a/users/wpcarro/scratch/facebook/topo-sort.py b/users/wpcarro/scratch/facebook/topo-sort.py new file mode 100644 index 000000000000..874005a01932 --- /dev/null +++ b/users/wpcarro/scratch/facebook/topo-sort.py @@ -0,0 +1,61 @@ +import random +from heapq import heappush, heappop +from collections import deque + +# A topological sort returns the vertices of a graph sorted in an ascending +# order by the number of incoming edges each vertex has. +# +# A few algorithms for solving this exist, and at the time of this writing, I +# know none. I'm going to focus on two: +# 1. Kahn's +# 2. DFS (TODO) + +def count_in_edges(graph): + result = {k: 0 for k in graph.keys()} + for xs in graph.values(): + for x in xs: + result[x] += 1 + return result + +# Kahn's algorithm for returning a topological sorting of the vertices in +# `graph`. +def kahns_sort(graph): + result = [] + q = deque() + in_edges = count_in_edges(graph) + for x in [k for k, v in in_edges.items() if v == 0]: + q.append(x) + while q: + x = q.popleft() + result.append(x) + for c in graph[x]: + in_edges[c] -= 1 + if in_edges[c] == 0: + q.append(c) + return result + +graphs = [ + { + 0: [], + 1: [], + 2: [3], + 3: [1], + 4: [0, 1], + 5: [0, 2], + }, + { + 'A': ['C', 'D'], + 'B': ['D', 'E'], + 'C': [], + 'D': ['F', 'G'], + 'E': [], + 'F': [], + 'G': ['I'], + 'H': ['I'], + 'I': [], + } +] + +print("--- Kahn's --- ") +for graph in graphs: + print(kahns_sort(graph)) |