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Graph as an Abstract Data Type (ADT)

As discussed earlier in the course, an abstract data type (ADT) is a theoretical concept that defines a set of operations and their behavior without specifying the internal representation of the data or the algorithms used to implement those operations. It provides a high-level description of the data and the functions that can be performed on it.

Here are some of the operations can be performed on graphs:

  1. Adding a new vertex
  2. Removing a vertex
  3. Adding an edge between two vertices
  4. Removing an edge between two vertices
  5. Getting a list of all the vertices 6

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senthil kumar

senthil kumar

· 2 years ago

Note :- Had obtained this explaination from Co-Pilot, Hence kindly double check before grasping it blindly

The Pair class in this code is used to represent an edge in the graph. Each edge is a pair of vertices, and the Pair class is a convenient way to group these two vertices together.

While it's true that you can use a List<Integer> to represent the adjacency list of a vertex, it's not as convenient or intuitive to use a List<Integer> to represent an edge. An edge is a connection between two specific vertices, and the order of the vertices matters. A Pair makes it clear that you're dealing with two specific, ordered items.

Let's consider an example. Suppose you have a graph with vertices 1, 2, and 3, and edges (1, 2) and (2, 3). The adjacency list representation of th

S

solomononaiwu

· 2 years ago

    public void addEdge(int vertex1, int vertex2) {
        adjacencyList.get(vertex1).add(vertex2);
        adjacencyList.get(vertex2).add(vertex1);
    }

There is no check here to know if the vertex exists or not.

should be

    public void addEdge(int vertex1, int vertex2) {

   if( !adjacencyList.containsKey(vertex1) ){
        adjacencyList.put(vertex1,new ArrayList());
   }

        adjacencyList.get(vertex1).add(vertex2);

   if( !adjacencyList.containsKey(vertex2) ){
        adjacencyList.put(vertex2,new ArrayList());
   }

        adjacencyList.get(vertex2).add(vertex1);     }