C语言算法实现
我们不会看到C编程语言中广度优先遍历(或深度优先搜索)的实现。作为参考,我们将仿效我们的例子,并以此作为我们的图的模型
#include <stdio.h>
#include <stdlib.h>
#include <stdbool.h>
#define MAX 5
struct Vertex {
char label;
bool visited;
};
//queue variables
int queue[MAX];
int rear = -1;
int front = 0;
int queueItemCount = 0;
//graph variables
//array of vertices
struct Vertex* lstVertices[MAX];
//adjacency matrix
int adjMatrix[MAX][MAX];
//vertex count
int vertexCount = 0;
//queue functions
void insert(int data) {
queue[++rear] = data;
queueItemCount++;
}
int removeData() {
queueItemCount--;
return queue[front++];
}
bool isQueueEmpty() {
return queueItemCount == 0;
}
//graph functions
//add vertex to the vertex list
void addVertex(char label) {
struct Vertex* vertex = (struct Vertex*) malloc(sizeof(struct Vertex));
vertex->label = label;
vertex->visited = false;
lstVertices[vertexCount++] = vertex;
}
//add edge to edge array
void addEdge(int start,int end) {
adjMatrix[start][end] = 1;
adjMatrix[end][start] = 1;
}
//display the vertex
void displayVertex(int vertexIndex) {
printf("%c ",lstVertices[vertexIndex]->label);
}
//get the adjacent unvisited vertex
int getAdjUnvisitedVertex(int vertexIndex) {
int i;
for(i = 0; i < vertexCount; i++) {
if(adjMatrix[vertexIndex][i] == 1 && lstVertices[i]->visited == false)
return i;
}
return -1;
}
void breadthFirstSearch() {
int i;
//mark first node as visited
lstVertices[0]->visited = true;
//display the vertex
displayVertex(0);
//insert vertex index in queue
insert(0);
int unvisitedVertex;
while(!isQueueEmpty()) {
//get the unvisited vertex of vertex which is at front of the queue
int tempVertex = removeData();
//no adjacent vertex found
while((unvisitedVertex = getAdjUnvisitedVertex(tempVertex)) != -1) {
lstVertices[unvisitedVertex]->visited = true;
displayVertex(unvisitedVertex);
insert(unvisitedVertex);
}
}
//queue is empty, search is complete, reset the visited flag
for(i = 0;i < vertexCount;i++) {
lstVertices[i]->visited = false;
}
}
int main() {
int i, j;
for(i = 0; i < MAX; i++) // set adjacency {
for(j = 0; j < MAX; j++) // matrix to 0
adjMatrix[i][j] = 0;
}
addVertex('S'); // 0
addVertex('A'); // 1
addVertex('B'); // 2
addVertex('C'); // 3
addVertex('D'); // 4
addEdge(0, 1); // S - A
addEdge(0, 2); // S - B
addEdge(0, 3); // S - C
addEdge(1, 4); // A - D
addEdge(2, 4); // B - D
addEdge(3, 4); // C - D
printf("\nBreadth First Search: ");
breadthFirstSearch();
return 0;
}
尝试一下