//採用鄰接矩陣表示圖的深度優先搜索遍歷(與深度優先搜索遍歷連通圖的遞歸算法僅僅是DFS的遍歷方式變了) #include <iostream> using namespace std; #define MVNun 100 typedef char VerTexType; typedef int ArcType; typedef struct { VerTexType vexs[MVNun]; ArcType arcs[MVNun][MVNun]; int vexnum, arcnum; }Graph; bool visited[MVNun]; int FirstAdjVex(Graph G, int v); int NextAdjVex(Graph G, int v, int w); int LocateVex(Graph G, VerTexType v) { for (int i = 0;i < G.vexnum;++i) { if (G.vexs[i] == v) return i; } return -1; } void CreateUDN(Graph& G) { int i, j, k; cout << "請輸入總頂點數,總邊數 , 以空格隔開:"; cin >> G.vexnum >> G.arcnum; cout << endl; cout << "輸入點的名稱,如 a:" << endl; for (i = 0;i < G.vexnum;++i) { cout << "請輸入第" << (i + 1) << "請輸入第"; cin >> G.vexs[i]; } cout << endl; for (i = 0;i < G.vexnum;++i) for (j = 0;j < G.vexnum;++j) G.arcs[i][j] = 0; cout << "輸入邊依附的頂點,如:a b" << endl; for (k = 0;k < G.arcnum;++k) { VerTexType v1, v2; cout << "請輸入第" << (k + 1) << "條邊依附的頂點:"; cin >> v1 >> v2; i = LocateVex(G, v1); j = LocateVex(G, v2); G.arcs[j][i] = G.arcs[i][j] = 1; } } void DFS(Graph G, int v){ int w; cout << G.vexs[v] << " "; visited[v] = true; for(w = 0; w < G.vexnum; w++) if((G.arcs[v][w] != 0)&& (!visited[w])) DFS(G, w); } int FirstAdjVex(Graph G, int v) { int i; for (i = 0;i < G.vexnum;++i) { if (G.arcs[v][i] == 1 && visited[i] == false) return i; } return -1; } int NextAdjVex(Graph G, int v, int w) { int i; for (i = w;i < G.vexnum;++i) { if (G.arcs[v][i] == 1 && visited[i] == false) return i; } return -1; } int main() { cout << "深度優先搜索遍歷連通圖的遞歸算法"; Graph G; CreateUDN(G); cout << endl; cout << "無向連通圖G建立完成!" << endl; cout << "請輸入遍歷連通圖的起始點:"; VerTexType c; cin >> c; int i; for (i = 0;i < G.vexnum;++i) { if (c == G.vexs[i]) break; } cout << endl; while (i >= G.vexnum) { cout << "該點不存在,請從新輸入!" << endl; cout << "請輸入遍歷連通圖的起始點:"; cin >> c; for (i = 0;i < G.vexnum;++i) { if (c == G.vexs[i]) { break; } } } cout << "深度優先搜索遍歷連通圖結果:" << endl; DFS(G, i); cout << endl; return 0; }