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algorithms-1/graph/clone_graph.py at master · githubch/algorithms-1 · GitHub
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graph
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clone_graph.py
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graph
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clone_graph.py
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"""
Clone an undirected graph. Each node in the graph contains a label and a list
of its neighbors.
OJ's undirected graph serialization:
Nodes are labeled uniquely.
We use # as a separator for each node, and , as a separator for node label and
each neighbor of the node.
As an example, consider the serialized graph {0,1,2#1,2#2,2}.
The graph has a total of three nodes, and therefore contains three parts as
separated by #.
First node is labeled as 0. Connect node 0 to both nodes 1 and 2.
Second node is labeled as 1. Connect node 1 to node 2.
Third node is labeled as 2. Connect node 2 to node 2 (itself), thus forming a
self-cycle.
Visually, the graph looks like the following:
1
/
\
/
\
0 --- 2
/
\
\_/
"""
# Definition for a undirected graph node
# class UndirectedGraphNode:
# def __init__(self, x):
# self.label = x
# self.neighbors = []
# BFS
def
cloneGraph1
(
self
,
node
):
if
not
node
:
return
nodeCopy
=
UndirectedGraphNode
(
node
.
label
)
dic
=
{
node
:
nodeCopy
}
queue
=
collections
.
deque
([
node
])
while
queue
:
node
=
queue
.
popleft
()
for
neighbor
in
node
.
neighbors
:
if
neighbor
not
in
dic
:
# neighbor is not visited
neighborCopy
=
UndirectedGraphNode
(
neighbor
.
label
)
dic
[
neighbor
]
=
neighborCopy
dic
[
node
].
neighbors
.
append
(
neighborCopy
)
queue
.
append
(
neighbor
)
else
:
dic
[
node
].
neighbors
.
append
(
dic
[
neighbor
])
return
nodeCopy
# DFS iteratively
def
cloneGraph2
(
self
,
node
):
if
not
node
:
return
nodeCopy
=
UndirectedGraphNode
(
node
.
label
)
dic
=
{
node
:
nodeCopy
}
stack
=
[
node
]
while
stack
:
node
=
stack
.
pop
()
for
neighbor
in
node
.
neighbors
:
if
neighbor
not
in
dic
:
neighborCopy
=
UndirectedGraphNode
(
neighbor
.
label
)
dic
[
neighbor
]
=
neighborCopy
dic
[
node
].
neighbors
.
append
(
neighborCopy
)
stack
.
append
(
neighbor
)
else
:
dic
[
node
].
neighbors
.
append
(
dic
[
neighbor
])
return
nodeCopy
# DFS recursively
def
cloneGraph
(
self
,
node
):
if
not
node
:
return
nodeCopy
=
UndirectedGraphNode
(
node
.
label
)
dic
=
{
node
:
nodeCopy
}
self
.
dfs
(
node
,
dic
)
return
nodeCopy
def
dfs
(
self
,
node
,
dic
):
for
neighbor
in
node
.
neighbors
:
if
neighbor
not
in
dic
:
neighborCopy
=
UndirectedGraphNode
(
neighbor
.
label
)
dic
[
neighbor
]
=
neighborCopy
dic
[
node
].
neighbors
.
append
(
neighborCopy
)
self
.
dfs
(
neighbor
,
dic
)
else
:
dic
[
node
].
neighbors
.
append
(
dic
[
neighbor
])
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