/* Class representing a directed graph using adjacency lists +/ static class Graph { int V; //Number of Vertices LinkedList [] adj; // adjacency lists //Constructor Graph(int V) this.V = V; adj = new LinkedList (V]; for (int i = 0; i < adj.length; i++) adj[i] = new LinkedList(); //To add an edge to graph void addEdge (int v, int w) { adj [v].add (w); // Add w to the list of v.

Java Very important: As a COMMENT IN CODE, please DO Test-Cases on how you would test your solution assumptions and hence your code explore a specific way to perform a Breadth First Search (BFS) of a given Graph [Ref : Figure 1].

Weighted Graph Applications Demonstration Java Data Structures. Figure 29.23 illustrates a weighted graph with 6 vertices and 8 weighted edges. Simply provide: Minimal Spanning Tree as an illustration or a textual list of edges (in our standard vertex order). Single-Source Shortest Path route from vertex 0 to the other 5 (described as one path/route for each). draw the two solutions and attach the illustration or describe them in text (a list of edges for the one and the vertex to vertex path the other). You can therefore attach proper content files with dot txt, png, jpg or jpeg extensions  Be sure the final trees or path lists are clearly visible in your solution.  You don't need to show the solution development or progress, just the result.

Stuck need help! The class I'm taking is computer science discrete structures.  Problem is attached. please view attachment before answering.  Really struggling with this concept. Thank you so much.

Linked lists are used in a particular fashion to represent adjacency lists on a graph. In order to better understand your idea, please provide an example. Can one begin coding without any prior experience?

C PROGRAMMING Implement dijkstras alorithm  Check that the Graph graph, and starting node, id, are valid• Create the set S containing all the networks (vertices) except the source node (you might wantto use an array for this.• Create an array to represent the table D and initialise it with the weights of the edges from thesource node, or infinity if no edge exists. You should use the constant DBL_MAX to representinfinity.• Create an array to represent the table R and initialise it with the next hops if an edge existsfrom the source, or 0 otherwise.• Then repeatedly follow the remaining rules of Dijkstra’s algorithm, updating the values in D andR until S is empty.• Each of the values required to complete the above can be found by calling the variousfunctions (get_vertices(), get_edge(), edge_destination(), edge_weight(), etc.)in the supplied graph library.• Once Dijkstra’s algorithm has run, you will need to create the routing table to be returned byallocating enough memory for the…

Write a java program that takes a matrix representing an undirected graph (connectivity matrix) and finds the minimum spanning tree (using kruskal's or prim's algo.) of that graph and then print it graphically ( Graphical user interface should be used)

in the C language create the smallest original degree last method for ordering of vertices in a graph.

in C language implement a graph coloring method that assigns the minimum color to each vertex so it does conflict with vertices that have been colored (using adjacency list)