
在CLRS书中,BFS算法使用向量和队列来描述。我们必须使用C++ STL来实现该算法。首先让我们看一下算法。
算法
BFS(G, s) −
begin for each vertex u in G.V - {s}, do u.color := white u.d := infinity u.p := NIL done s.color := green s.d := 0 s.p := NIL Q := NULL insert s into Q while Q is not null, do u = delete from Q for each v in adjacent to u, do if v.color = white v.color := green v.d := u.d + 1 v.p := u insert v into Q end if done u.color = dark_green doneend
Example
的中文翻译为:
示例
#include#include#includeusing namespace std;vector colour;vector dist;vector par;void addEdge(vector g[], int u, int v) { //add edge to form the graph g[u].push_back(v); g[v].push_back(u);}void BFS(vector g[], int s) { queue q; q.push(s); //insert source dist[s] = 0; colour[s] = "gray"; while (!q.empty()) { int u = q.front(); //top element from queue, then delete it q.pop(); cout << u << " "; for (auto i = g[u].begin(); i != g[u].end(); i++) { if (colour[*i] == "white") { //white is unvisited node colour[*i] = "gray"; //gray is visited but not completed dist[*i] = dist[u] + 1; par[*i] = u; q.push(*i); } } colour[u] = "black"; //black is completed node }}void BFSAlgo(vector g[], int n) { colour.assign(n, "white"); //put as unvisited dist.assign(n, 0); par.assign(n, -1); for (int i = 0; i < n; i++) if (colour[i] == "white") BFS(g, i);}int main() { int n = 7; vector g[n]; addEdge(g, 0, 1); addEdge(g, 0, 2); addEdge(g, 1, 3); addEdge(g, 1, 4); addEdge(g, 2, 5); addEdge(g, 2, 6); BFSAlgo(g, n);}
输出
0 1 2 3 4 5 6
以上就是使用向量和队列实现BFS,按照CLRS算法在C程序中的实现的详细内容,更多请关注创想鸟其它相关文章!
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