"A graph \(G=(\mathbf{V},\mathbf{E})\) consists of a set of vertices \(\mathbf{V}\) and a set of edges \(\mathbf{E}\), such that each edge in \(\mathbf{E}\) is a connection between a pair of vertices in \(\mathbf{V}\). The number of vertices is written \(|\mathbf{V}|\), and the number of edges is written \(|\mathbf{E}|\). \(|\mathbf{E}|\) can range from zero to a maximum of \(|\mathbf{V}|^2-|\mathbf{V}|\)"
interface Graph { // Graph class ADT
// Initialize the graph with some number of vertices
void init(int n);
// Return the number of vertices
int nodeCount();
// Return the current number of edges
int edgeCount();
// Get the value of node with index v
Object getValue(int v);
// Set the value of node with index v
void setValue(int v, Object val);
// Adds a new edge from node v to node w with weight wgt
void addEdge(int v, int w, int wgt);
// Get the weight value for an edge
int weight(int v, int w);
// Removes the edge from the graph.
void removeEdge(int v, int w);
// Returns true iff the graph has the edge
boolean hasEdge(int v, int w);
// Returns an array containing the indicies of the neighbors of v
int[] neighbors(int v);
}