please solve 1. Write a Graph class in JavaThis class should represent undirected graphs. You can choose one of the representationsfrom our graph exercises, eg object model, sets of nodes and edges, adjacency matrix, or soon, whichever you feel most comfortable with.Include comments in your Java file to explain how nodes and edges are represented.Assume that only one edge can exist between two nodes.●●Assume that it is possible to have an edge connecting a node to itself, ie that a nodecan be connected to itself via an edge.Because edges are undirected, an edge between v and w is also one between w and v.Your constructor method should take one parameter: the number of nodes of thegraph. 2. Add a method to your class: boolean addEdge that takes two parameters, v andw (representing two modes v and w which are connected together by the edgebeing added).If successful, the method should return true. The method should return false when it isunsuccessful, which is in the following cases: the edge is already in the graph, or it is an edgefrom or to a non existent node.3. Add a method to your class: boolean addMultipleEdges(int x) which adds toyour graph a total of x new randomly generated edges.The method should return true if x edges could be successfully added. The method shouldreturn false when it is unsuccessful, which is when x edges could not be added (if there is notenough space to add x edges.)4. Add comments to your representation of edges in the Graph class.This comment should tell us how you would change your code, if you were being asked torepresent a directed graph rather than an undirected graph. You should not make thesechanges in your code, just tell us what changes you would make. Your answer must include:a. Changes you would make to how you represent edges (or if you would make nochanges, then state that you would make no changes to this representation)b. Changes you would make to your addEdge method (or if you would make nochanges, then state that you would make no changes to this method)c. Changes you would make to your addMultipleEdges method (or if you would makeno changes, then state that you would make no changes to this method)

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1. Write a Graph class in Java This class should represent undirected graphs. You can choose one of the representations from our graph exercises, eg object model, sets of nodes and edges, adjacency matrix, or so on, whichever you feel most comfortable with. • Include comments in your Java file to explain how nodes and edges are represented. Assume that only one edge can exist between two nodes. Assume that it is possible to have an edge connecting a node to itself, ie that a node can be connected to itself via an edge. • Because edges are undirected, an edge between v and w is also one between w and v. Your constructor method should take one parameter: the number of nodes of the graph.

1. Write a Graph class in Java This class should represent undirected graphs. You can choose one of the representations from our graph exercises, eg object model, sets of nodes and edges, adjacency matrix, or so on, whichever you feel most comfortable with. • Include comments in your Java file to explain how nodes and edges are represented. Assume that only one edge can exist between two nodes. Assume that it is possible to have an edge connecting a node to itself, ie that a node can be connected to itself via an edge. • Because edges are undirected, an edge between v and w is also one between w and v. Your constructor method should take one parameter: the number of nodes of the graph.