(M)BFS:310. Minimum Height Trees

求给定图中,能形成树的最矮的树。

BFS,利用无向图每个点的degree来计算。先计算每个点的degree,然后将degree为1的点放入list或者queue中进行计算,把这些点从邻接表中去除,然后计算接下来degree = 1的点。最后剩下1 - 2个点就是新的root。

class Solution {
public:
    vector<int> findMinHeightTrees(int n, vector<pair<int, int>>& edges) {
        vector<unordered_set<int>> graph(n);
        for(auto a : edges)
        {
            graph[a.second].insert(a.first);
            graph[a.first].insert(a.second);
        }
        vector<int> temp;
        if (n == 1) {
            temp.push_back(0);
            return temp;
        }
        for(int i = 0; i < n; ++i){
            if(graph[i].size() == 1)    
                temp.push_back(i);
        }
        while(true)
        {
            vector<int> next;
            for(auto a : temp){
                for(auto neighbor : graph[a])
                {
                    graph[neighbor].erase(a);
                    if(graph[neighbor].size() == 1) 
                        next.push_back(neighbor);
                }
            }
            if(next.size() == 0)
                return temp;
            else
                temp = next;
        }
    }
};



from pythonds.basic import Queue class Vertex: def __init__(self,key): self.id = key self.connectedTo = {} def addNeighbor(self,nbr,weight=0): self.connectedTo[nbr] = weight def __str__(self): return str(self.id) + ' connectedTo: ' + str([x.id for x in self.connectedTo]) def getConnections(self): return self.connectedTo.keys() def getId(self): return self.id def getWeight(self,nbr): return self.connectedTo[nbr] class Graph: def __init__(self): self.vertList = {} self.numVertices = 0 def addVertex(self,key): self.numVertices = self.numVertices + 1 newVertex = Vertex(key) self.vertList[key] = newVertex return newVertex def getVertex(self,n): if n in self.vertList: return self.vertList[n] else: return None def __contains__(self,n): return n in self.vertList def addEdge(self,f,t,cost=0): if f not in self.vertList: nv = self.addVertex(f) if t not in self.vertList: nv = self.addVertex(t) self.vertList[f].addNeighbor(self.vertList[t], cost) def getVertices(self): return self.vertList.keys() def __iter__(self): return iter(self.vertList.values()) def bfs(g,start): start.setDistance(0) start.setPred(None) vertQueue=Queue() vertQueue.enqueue(start) while (vertQueue.size()>0): currentVert=vertQueue.dequeue() for nbr in currentVert.getConnections(): if (nbr.getColor()=='White'): nbr.setColor('gray') nbr.setDistance(currentVert.getDistance()+1) nbr.setPred(currentVert) vertQueue.enqueue(nbr) currentVert.setColor('black') List=["""1:A,2:B,3:C,4:D,5:E,6:F"""] g=Graph() for i in range(6): g.addVertex(i) g.addEdge(1,2,7) g.addEdge(2,1,2) g.addEdge(1,3,5) g.addEdge(1,6,1) g.addEdge(2,4,7) g.addEdge(2,5,3) g.addEdge(3,2,2) g.addEdge(3,6,8) g.addEdge(4,1,1) g.addEdge(4,5,2) g.addEdge(4,6,4) g.addEdge(5,1,6) g.addEdge(5,4,5) g.addEdge(6,2,1) g.addEdge(6,5,8) bfs(g,)优化这段代码
06-12
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