#include <iostream>
#include <list>
using namespace std;
class Graph
{
int V;
list<int> *adj;
public:
Graph(int V) { this->V = V; adj = new list<int>[V]; }
~Graph() { delete [] adj; }
void addEdge(int v, int w);
void greedyColoring();
};
void Graph::addEdge(int v, int w)
{
adj[v].push_back(w);
adj[w].push_back(v);
}
void Graph::greedyColoring()
{
int result[V];
result[0] = 0;
for (int u = 1; u < V; u++)
result[u] = -1;
bool available[V];
for (int cr = 0; cr < V; cr++)
available[cr] = false;
for (int u = 1; u < V; u++)
{
list<int>::iterator i;
for (i = adj[u].begin(); i != adj[u].end(); ++i)
if (result[*i] != -1)
available[result[*i]] = true;
int cr;
for (cr = 0; cr < V; cr++)
if (available[cr] == false)
break;
result[u] = cr;
for (i = adj[u].begin(); i != adj[u].end(); ++i)
if (result[*i] != -1)
available[result[*i]] = false;
}
for (int u = 0; u < V; u++)
cout << "Vertex " << u << " ---> Color "
<< result[u] << endl;
}
int main()
{
//Biology = 0, Chemistry = 1, CS = 2, Physics = 3, Mathematics = 4
Graph g(5);
g.addEdge(0, 1); //there exists a common student between bio and chem
g.addEdge(0, 2); //there exists a common student between bio and CS
g.addEdge(1, 2); //there exists a common student between chem and CS
g.addEdge(1, 4); //there exists a common student between chem and mathematics
g.addEdge(2, 4); //there exists a common student between CS and mathematics
g.addEdge(4, 3); //there exists a common student between physics and mathematics
cout << "Coloring of graph \n";
g.greedyColoring();
return 0;
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