6. Find the spanning tree for the following graph starting from A: A G D E F H J I a. Using depth-first search. b. Using breadth-first search.

Q: the minimum spanning tree

A: Given :- In the above given question , an undirected graph is mention below as,

Q: a. Using depth-first search. b. Using breadth-first search.

A: This is very simple. Solution a) DFS Path for spanning tree: abcdfejghiklmnopqrst Note: It can…

Q: Given the undirected graph below, show the sequence of nodes visited when carrying out (i) depth…

A: An undirected graph is the graph in which nodes are connected without any directions. All the…

Q: 6. Find a Steiner tree of the graph K, with the vertices b, j, d, h by listing the edges that form…

A: The solution is given in the next step

Q: 1. Use the depth-first algorithm to find a spanning tree.

A: With depth first algorithm a spanning tree of the given graph

Q: a) Find a minimum spanning tree using Prim’s algorithm. Use A as the start point and if there are…

A: One of the non-linear data structures that contain a number of nodes and edges connecting the nodes…

Q: Code: Prim’s MST algorithm. algorithm PrimMST (G)  pre-cond: G is an undirected graph.  post-cond:…

A: Code: Prim’s MST algorithm. The output consists of a minimum spanning tree.

Q: Apply one algorithm on the graph below to find its minimum spanning tree. Describe the steps.

A: In graph theory, a minimum spanning tree (MST) is a subset of the edges of a connected, undirected…

Q: Question 2: Find the Breadth-first search for the following graph starting from vertex ‘A’ and…

A: Breadth-first search is a graph traversal algorithm that starts traversing the graph from any one…

Q: For the graph, what is the total weight of its minimum spanning tree? Show your work? a) 10 b) 11 c)…

A: Minimum spanning tree can be obtained using Kruskal's algorithm. Kruskal's algorithm : Step1 : sort…

Q: Describe an algorithm to find the shortest path from a certain vertex in a graph to a certain other…

A: 1. Bellman Ford's Algorithm: Bellman Ford's algorithm is used to find the shortest paths from the…

Q: 12- A Graph consists of four vertices A, B, C and D. If we start from A, which vertex will be…

A: Refer to step 2 for the answer.

Q: 2. Use Prim's algorithm to find the minimum spanning tree for the graph below starting from node a…

A: Given graph contains, Set of vertices= {a, b, c, d, e, f, g, h, i, j} Between these vertices,…

Q: 4. Consider the following graph. Apply Kruskal’s algorithm to find the minimum spanning tree and…

A: Kruskal algorithm is used to find the minimum spanning tree for a graph. To apply kruskal algorithm,…

Q: Question 4: Find the Shortest Path Tree for the given graph using Dijkstra's algorithm and write the…

A: Here in this question we have given a graph and we have asked to apply dijkstra algorithm and find…