One of your problems is that you're reading using %[^\t], which reads strings, and store the result to variables that are not character arrays (two characters and a double).
Although it's not clear from your question, it seems that the lines of your input contain two characters and one real number separated by one tab character. If that is so, you should use the following fscanf to read them:
fscanf(fp, "%c\t%c\t%lf\n", &graph[i].from, &graph[i].to, &graph[i].w);
If you are not sure what exactly separates your fields and you want to allow any amount of white space in between and also extra white space in the beginning and end of the line, then use:
fscanf(fp, " %c %c%lf\n", &graph[i].from, &graph[i].to, &graph[i].w);
that is, use an extra space in the format before each "%c" to explicitly skip white space.
Your code has also a couple of other problems:
You are using feof to check for end of file. This will usually not work well if you're not reading the file character by character. Instead, you should check if your fscanf returned 3, that is, if it successfully read the three things that you wanted it to read.
You are missing a definition of array graph.
I'm adding the complete code that I'd write for doing the parsing:
#include"stdio.h"
#define MAX 100
struct {
char from, to;
double w;
} graph[MAX];
int main ()
{
FILE *fp = fopen("graph.txt", "rt");
for (int i=0; i<MAX; i++)
if (fscanf(fp, " %c %c%lf\n", &graph[i].from, &graph[i].to, &graph[i].w) < 3)
break;
fclose(fp);
return 0;
}
