贪心算法图着色问题c语言代码
时间: 2023-11-20 09:57:54 浏览: 51
以下是使用贪心算法解决图的m着色问题的C语言代码:
```c
#include <stdio.h>
#include <stdbool.h>
#define MAX_VERTEX_NUM 100 // 最大顶点数
int vertexColor[MAX_VERTEX_NUM]; // 存储每个顶点的颜色
int colorNum; // 颜色总数
// 判断当前顶点是否可以染成指定颜色
bool canColor(int graph[MAX_VERTEX_NUM][MAX_VERTEX_NUM], int vertex, int color, int vertexNum) {
for (int i = 0; i < vertexNum; i++) {
if (graph[vertex][i] && vertexColor[i] == color) {
return false;
}
}
return true;
}
// 对指定顶点进行染色
bool colorVertex(int graph[MAX_VERTEX_NUM][MAX_VERTEX_NUM], int vertex, int vertexNum) {
for (int i = 1; i <= colorNum; i++) {
if (canColor(graph, vertex, i, vertexNum)) {
vertexColor[vertex] = i;
return true;
}
}
return false;
}
// 对整个图进行染色
void colorGraph(int graph[MAX_VERTEX_NUM][MAX_VERTEX_NUM], int vertexNum) {
for (int i = 0; i < vertexNum; i++) {
if (!colorVertex(graph, i, vertexNum)) {
printf("Failed to color the graph.\n");
return;
}
}
printf("The graph has been colored successfully.\n");
printf("The colors of vertices are:\n");
for (int i = 0; i < vertexNum; i++) {
printf("Vertex %d: Color %d\n", i, vertexColor[i]);
}
}
int main() {
int graph[MAX_VERTEX_NUM][MAX_VERTEX_NUM]; // 存储图的邻接矩阵
int vertexNum; // 顶点数
printf("Please input the number of vertices: ");
scanf("%d", &vertexNum);
printf("Please input the adjacency matrix of the graph:\n");
for (int i = 0; i < vertexNum; i++) {
for (int j = 0; j < vertexNum; j++) {
scanf("%d", &graph[i][j]);
}
}
printf("Please input the number of colors: ");
scanf("%d", &colorNum);
colorGraph(graph, vertexNum);
return 0;
}
```