Created
March 26, 2018 23:02
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Converts a tree to cherry tree -- needs review.
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def tree_to_cherry_tree(A): | |
""" | |
Given the adj matrix of a tree, | |
produces a cherry t-tree that includes it. | |
Arguments: | |
- adj: numpy array or sparse array, the adjacency matrix of the tree. | |
Returns: | |
- new_adj: numpy array or sparse array, the adjacency matrix of the cherry tree. | |
""" | |
new_A = A.copy() | |
n,m = new_A.shape | |
for i in range(n): | |
new_A[i,i] = -5 | |
V = set([i for i in range(len(A))]) | |
node1 = V.pop() | |
node2 = next((i for i, x in enumerate(list(A[node1, :])) if x), None) # x!= 0 for strict match | |
V.remove(node2) | |
for i in V: | |
other_node = next((j for j, x in enumerate(list(A[i, :])) if x), None) | |
not_connected = next((j for j, x in enumerate(list(new_A[i, :])) if x == 0), None) | |
new_A[i,not_connected] = 1 | |
new_A[not_connected,i] = 1 | |
for i in range(n): | |
new_A[i,i] = 0 | |
return new_A |
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