Final answer:
An UnweightedGraphWithGetPath class extends an UnweightedGraph class by adding a getPath method to find a path between vertices using traversal algorithms like BFS or DFS, and returning the path as a list.
Step-by-step explanation:
UnweightedGraphWithGetPath Class Definition
To define a new class named UnweightedGraphWithGetPath that extends an UnweightedGraph, you would first need to create a class that inherits from the base UnweightedGraph class. This new subclass would include an additional method, let's name it getPath, which is responsible for finding a path between two given vertices within the graph.
The getPath method could be implemented using various graph traversal algorithms such as breadth-first search (BFS) or depth-first search (DFS) to traverse the graph and find a path from the start vertex to the end vertex. When a path is found, the method would return a list of vertices that form the path from the start to the end vertex. If no path exists, it could return an empty list or a null value to indicate that there is no path between the two vertices.
Here’s a simple outline of what the new class definition could look like:
class UnweightedGraphWithGetPath extends UnweightedGraph {
// Constructor
public UnweightedGraphWithGetPath() {
super();
}
// Method to find a path between two vertices
public List getPath(int startVertex, int endVertex) {
// Implementation of the path-finding algorithm
// ...
return path;
}
}
Remember that the actual implementation of the getPath method would depend on the specifics of how you decide to approach the path-finding problem within the graph's structure.