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Diffstat (limited to 'scratch/facebook/graph-coloring.py')
-rw-r--r-- | scratch/facebook/graph-coloring.py | 60 |
1 files changed, 60 insertions, 0 deletions
diff --git a/scratch/facebook/graph-coloring.py b/scratch/facebook/graph-coloring.py new file mode 100644 index 000000000000..17588166c871 --- /dev/null +++ b/scratch/facebook/graph-coloring.py @@ -0,0 +1,60 @@ +from collections import deque + +class Palette(object): + def __init__(self, n): + self.i = 0 + self.colors = list(range(n)) + + def get(self): + return self.colors[self.i] + + def advance(self): + self.i += 1 % len(self.colors) + +class GraphNode(object): + def __init__(self, label): + self.label = label + self.neighbors = set() + self.color = None + + def __repr__(self): + result = [] + xs = deque() + xs.append(self) + seen = set() + while xs: + node = xs.popleft() + result.append('{} ({})'.format(node.label, str(node.color))) + seen.add(node.label) + for c in node.neighbors: + if c.label not in seen: + xs.append(c) + return ', '.join(result) + +def color_graph(graph, d): + seen = set() + start = graph + xs = deque() + palette = Palette(d + 1) + xs.append((start, palette.get())) + while xs: + x, color = xs.popleft() + x.color = color + seen.add(x.label) + for c in x.neighbors: + if c.label not in seen: + palette.advance() + xs.append((c, palette.get())) + +a = GraphNode('a') +b = GraphNode('b') +c = GraphNode('c') + +a.neighbors.add(b) +b.neighbors.add(a) +b.neighbors.add(c) +c.neighbors.add(b) + +print(a) +color_graph(a, 3) +print(a) |