#include #include using namespace std; // A class that represents an undirected graph class Graph { int V; // No. of vertices list *adj; // A dynamic array of adjacency lists public: // Constructor and destructor Graph(int V) { this->V = V; adj = new list[V]; } ~Graph() { delete [] adj; } // function to add an edge to graph void addEdge(int v, int w); // Prints greedy coloring of the vertices void greedyColoring(); }; void Graph::addEdge(int v, int w) { adj[v].push_back(w); adj[w].push_back(v); // Note: the graph is undirected } // Assigns colors (starting from 0) to all vertices and prints // the assignment of colors void Graph::greedyColoring() { int result[V]; // Assign the first color to first vertex result[0] = 0; // Initialize remaining V-1 vertices as unassigned for (int u = 1; u < V; u++) result[u] = -1; // no color is assigned to u // A temporary array to store the available colors. True // value of available[cr] would mean that the color cr is // assigned to one of its adjacent vertices bool available[V]; for (int cr = 0; cr < V; cr++) available[cr] = false; // Assign colors to remaining V-1 vertices for (int u = 1; u < V; u++) { // Process all adjacent vertices and flag their colors // as unavailable list::iterator i; for (i = adj[u].begin(); i != adj[u].end(); ++i) if (result[*i] != -1) available[result[*i]] = true; // Find the first available color int cr; for (cr = 0; cr < V; cr++) if (available[cr] == false) break; result[u] = cr; // Assign the found color // Reset the values back to false for the next iteration for (i = adj[u].begin(); i != adj[u].end(); ++i) if (result[*i] != -1) available[result[*i]] = false; } // print the result for (int u = 0; u < V; u++) cout << "Vertex " << u << " ---> Color " << result[u] << endl; } // Driver program to test above function int main() { Graph g1(5); g1.addEdge(0, 1); g1.addEdge(0, 2); g1.addEdge(1, 2); g1.addEdge(1, 3); g1.addEdge(2, 3); g1.addEdge(3, 4); cout << "Coloring of Graph 1 \n"; g1.greedyColoring(); Graph g2(5); g2.addEdge(0, 1); g2.addEdge(0, 2); g2.addEdge(1, 2); g2.addEdge(1, 4); g2.addEdge(2, 4); g2.addEdge(4, 3); cout << "\nColoring of Graph 2 \n"; g2.greedyColoring(); return 0; }