Leetcode圖專題
要明白的基礎知識
node1=UndirectedGraphNode(1)
node2=UndirectedGraphNode(2)
nodeMap={}
nodeMap[node1]="hello"
nodeMap[node2]="world"
#這樣是合法的,列印nodeMap看看
nodeMap
Out[8]:
{<__main__.UndirectedGraphNode at 0x18215e262e8>: 'world',
<__main__.UndirectedGraphNode at 0x18215e26320>: 'hello'}
clone graph
考察最基本的圖的遍歷,深度遍歷和寬度遍歷 題目如下: Given the head of a graph, return a deep copy (clone) of the graph. Each node in the graph contains a label (int) and a list (List[UndirectedGraphNode]) of its neighbors. There is an edge between the given node and each of the nodes in its neighbors.
OJ’s undirected graph serialization (so you can understand error output): 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
/ \
\_/
Note: The information about the tree serialization is only meant so that you can understand error output if you get a wrong answer. You don’t need to understand the serialization to solve the problem. DFS解法:
#深度優先遍歷解法
# Definition for a undirected graph node
# class UndirectedGraphNode:
# def __init__(self, x):
# self.label = x
# self.neighbors = []
class Solution:
# @param node, a undirected graph node
# @return a undirected graph node
def cloneGraph(self, node):
if None == node: return None
nodeMap = {}
return self.cloneNode(node, nodeMap)
def cloneNode(self, node, nodeMap):#注意理解這個函式的意思,就是clone一個node
if None == node:
return None
#訪問當前點,這裡不是簡單的print,而是複製,若已經複製,即這個node已經被建立,則返回副本
if node in nodeMap.keys():#node
return nodeMap[node]
#若沒有副本,則複製一份,同樣處理其鄰接點
else:
clone = UndirectedGraphNode(node.label)
nodeMap[node] = clone
#訪問其鄰居節點
for neighbor in node.neighbors:
clone.neighbors.append(self.cloneNode(neighbor, nodeMap))
return clone