So, I need to make a function that is going to return the chromatic number of a graph. The graph is given through an adjecency matrix that the function finds using a file name. I have a function that should in theory work and which the compiler is throwing no issues for, yet when I run it, it simply prints out an empty line and ends the program.
#include <iostream>
#include <string>
#include <fstream>
#include <vector>
using namespace std;
int Find_Chromatic_Number (vector <vector <int>> matg, int matc[], int n) {
if (n == 0) {
return 0;
}
int result, i, j;
result = 0;
for (i = 0; i < n; i++) {
for (j = i; j < n; j++) {
if (matg[i][j] == 1) {
if (matc[i] == matc[j]) {
matc[j]++;
}
}
}
}
for (i = 0; i < n; i++) {
if (result < matc[i]) {
result = matc[i];
}
}
return result;
}
int main() {
string file;
int n, i, j, m;
cout << "unesite ime datoteke: " << endl;
cin >> file;
ifstream reader;
reader.open(file.c_str());
reader >> n;
vector<vector<int>> matg(n, vector<int>(0));
int matc[n];
for (i = 0; i < n; i++) {
for (j = 0; j < n; j++) {
reader >> matg[i][j];
}
matc[i] = 1;
}
int result = Find_Chromatic_Number(matg, matc, n);
cout << result << endl;
return 0;
}
The program is supposed to use an freader to convert the file into a 2D vector which represents the adjecency matrix (matg). I also made an array (matc) which represents the value of each vertice, with different numbers corresponding to different colors. The function should go through the vector and every time there is an edge between two vertices it should check if their color value in matc is the same. If it is, it ups the second vale (j) by one. After the function has passed through the vector, the matc array should contain n different number with the highest number being the chromatic number I am looking for. I hope I have explained enough of what I am trying to accomplish, if not just ask and I will add any further explanations.