使用邻接矩阵表示图

    下面的代码是用邻接矩阵的方式来对图进行表示。其中展示了图的生成，边的插入，删除，图的销毁等操作。

 

graph.h

 

typedef struct
{
        int v;
        int w;
}Edge;

Edge EDGE(int, int);

typedef struct graph *Graph;

Graph graphinit(int);

void graphinserte(Graph, Edge);

void graphremovee(Graph, Edge);

Graph graphcopy(Graph);

void graphdestroy(Graph);

void graphshow(Graph);


graph.c

#include <stdlib.h>
#include <stdio.h>
#include "graph.h"

struct graph
{
        int v;
        int e;
        int **adj;
};

Edge EDGE(int v, int w)
{
        Edge e;
        e.v = v;
        e.w = w;

        return e;
}

int **matrixint(int r, int c, int val)
{
        int i, j;

        int **t = (int**)malloc(r * sizeof(int*));
        if (t == NULL)
                return NULL;
        for (i = 0; i < r; i++)
        {
                t[i] = (int*)malloc(c * sizeof(int));
                if (t[i] == NULL)
                {
                        while (--i >= 0)
                                free(t[i]);
                        return NULL;
                }
        }

        for (i = 0; i < r; i++)
                for (j = 0; j < c; j++)
                        t[i][j] = val;
        return t;
}

Graph graphinit(int v)
{
        Graph g;

        g = (Graph)malloc(sizeof(*g));
        g->v = v;
        g->e = 0;
        g->adj = matrixint(v, v, 0);

        return g;
}

void graphinserte(Graph g, Edge e)
{
        int v = e.v;
        int w = e.w;

        if (g->adj[v][w] == 0)
                g->e++;
        g->adj[v][w] = 1;
        g->adj[w][v] = 1;
}

void graphremovee(Graph g, Edge e)
{
        int v = e.v;
        int w = e.w;

        if (g->adj[v][w] == 1)
                g->e--;
        g->adj[v][w] = 0;
        g->adj[w][v] = 0;
}

void graphshow(Graph g)
{
        int i, j;
        printf("%d vertices, %d edges\n", g->v, g->e);

        for (i = 0; i < g->v; i++)
        {
                printf("%2d: ", i);
                for (j = 0; j < g->v; j++)
                        if (g->adj[i][j] == 1)
                                printf(" %2d", j);
                printf("\n");
        }
}

void graphdestroy(Graph g)
{
        int i;

        for (i = 0; i < g->v; i++)
                free(g->adj[i]);
        free(g->adj);
}


main.c

#include <stdio.h>
#include <stdlib.h>
#include "graph.h"

int main()
{
        Graph g;
        int i, j;
        int ver = 13;


        Edge e[] = {{0, 5},{5, 4}, {7, 8}, {4, 3}, {0, 2}, {9, 11}, {0, 1}, {11, 12}, {5, 3}, {9, 12}, {9, 10}, {6, 4}, {0, 6}};
        j = sizeof(e) / sizeof(e[0]);

        g = graphinit(ver);
        if (g == NULL)
        {
                printf("init graph error\n");
                exit(1);
        }


        for (i = 0; i < j; i++)
                graphinserte(g, e[i]);

        graphshow(g);

        graphdestroy(g);
        return 0;
}


gcc -Wall main.c graph.c -o main

./main