Kruskal's minimum spanning tree algorithm is executed on the following graph. Select all edges from edgeList that belong to the minimum spanning tree. edgeList result List AD BC BE CF EF DG EG EH GH D 7 G 1 B 5 3 A E H 4 2 C 6 F
Q: You can construct an adjacency list from an adjacency matrix in O(|E|) time, where |E| is the number…
A: The correct answer to the given is ("True")
Q: 1) Find the minimum spanning tree of the following graph by applying Kruskal's Algorithm of the…
A: Kruskal's Algorithm :It is used to find the minimum spanning tree. It uses greedy approach.Steps…
Q: This graph has an Eulerian tour or cycle O True O False
A: To determine whether a graph has an Eulerian tour or cycle, we need to consider the degrees of its…
Q: Find the Minimum Spanning Tree for the given graph using Prim’s algorithm. The starting vertex is…
A: - We need to talk about using prim's algorithm on the provided graph starting with vertex A. -…
Q: Kruskal's minimum spanning tree algorithm is executed on the following graph. 9 F B 7 1 D G 4 2 3 E…
A: Kruskal's algorithm is a popular algorithm used for finding the Minimum Spanning Tree (MST) of a…
Q: B 6 E 2 5 F 8
A: Amswer :
Q: А B D E
A: What is the BFS traversal for the given graph below?
Q: A spanning tree for an undirected graph is a sub-graph which includes all vertices but has no…
A: KRUSKAL'S ALGORITHM: Kruskal algorithm is an algorithm which is used to get a minimum spanning tree…
Q: Start from vertex A, use Prim's algorithm to find a minimum spanning tree (MST) for the following…
A: A Spanning Tree of a connected undirected weighted graph G is a subgraph of G that is a tree and…
Q: 9.Write the shortest path length from A to every other node of the above in the Graph and the path…
A: This question is from the subject graph theory or data structure where we want to calculate the…
Q: Find the minimum spanning tree of the graph, starting from node 0
A: To do: Minimum spanning tree of the given graph
Q: Use the high-level version of Kruskal's algorithm to find a minimum spanning tree for the following…
A: ANSWER:-
Q: Write algorithm LargestShortestWeight(G, s,t) pre-cond: G is a weighted directed (augmenting)…
A: given data: pre-cond: G is a weighted directed (augmenting) graph. s is the source node.t is the…
Q: 1. Find the path from node D to node B using (a) Best First Search, and (b) A* Algorithm. 59 45 H)…
A: Answer to the above question is in step2.
Q: public static Graph generateRandomGraph(int n, double p) Generates a random graph on n vertices such…
A: The `generateRandomGraph` method in the Java code generates a random graph with a probability of `p`…
Q: Find a minimum spanning tree for the graph below using Kruskal's algorithm. Clearly show the content…
A: 1. Sort all the edges in non-decreasing order of their weight. 2. Pick the smallest edge. Check if…
Q: Suppose you are given an undirected simple graph G(V, E). Design an efficient algorithm to determine…
A: To determine whether a given undirected simple graph G(V, E) is a tree or not, we can use a…
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: a) List all the bridges in this graph. Enter your answers in alphabetical order separated by commas…
A:
Q: H A B D F G
A: We are given a graph and we are going to find its minimum spanning tree and then we will represent…
Q: The graph expansion algorithm that involves building a complete graph over the terminal (leaf)nodes…
A: The question is asking about a specific type of graph expansion algorithm. Graph expansion…
We are given a graph containing 8 vertices, A to H.
We are going to apply Kruskal's minimum spanning tree algorithm on it , and will find out the final edges existing in final spanning tree. Kruskal's algorithm is a greedy algorithm which find the minimum distance between the two vertices.
I have uploaded image for the solution and have also updated the given table just like asked in the question.
Step by step
Solved in 4 steps with 3 images
- How many entries would the adjacency list representation for the following graph contain? (Assume that the array slots for each vertex count as one entry, and the linked list nodes for edges each count as one entry as well.) D B E A F GC C î î ↑ 7 8 E A 6 8 9 D 4 B Starting at vertex B, what is the shortest path length to each vertex? A: Ex: 1 B: C: D: E:The Bellman-Ford algorithm is run on the following graph. The start vertex is A. Assume each loop of the algorithm visits vertices in the graph in the following order: A, B, C, D, E. 0 / null E 1 4 0/ null 0 / null C 7 D В А 3 0 / null 0/ null How many main loop iterations are executed? Ex: 1 C What are B's values after the first iteration? Ex: 0 or inf / Pick Enter inf for ∞ What are C's values after the first iteration? / Pick O What are D's values after the first iteration? / Pick What are E's values after the first iteration? / Pick
- Question 16 Find the list of vertices following the breadth-first traversal of the graph below starting from vertex A. ( Note: when two or more nodes are equally as likely to be selected, select the one that comes fırst alphabetically). Enter your answer as a list of nodes with no space (or any other separator) between them. J D (A EKruskal's minimum spanning tree algorithm is executed on the following graph. F 7 B 3 5 D G 8 2 C 1 4 9 E What is the first edge that will be added to the result? What is the second edge that will be added to the result? What is the first edge that will NOT be added to the result? What is the minimum spanning tree edge weight sum? Ex: YZ Ex: 10The graph expansion algorithm that involves building a complete graph over the terminal (leaf)nodes is A cost-based backwards expansion B bidirectional expansion C threshold-basec expansion D backward expansion
- The number of elements in the adjacency matrix of a graph having 7 vertices is: O a. 36 O b. 7 O c. 49 O d. 14Use Dijkstra's algorithm to construct a shortest path tree starting from vertex_ that includes all vertices in the original graph. Use the format shown in the given table. After filling in the table, draw the resulting shortest path tree in the empty box. 2 6 b fringe list 2 a STEP vertices in tree next edge to add 9 9 1 d с 4 12 2 2 2 f 9 1 h 3 4 5 6 7 8Question 3: Find the Minimum Spanning Tree for the given graph using Prim's algorithm and write the steps. A 4 2 11 с F 8 7 1 2 E D 6 B 7 4 2 G H 5 9 10 T
- 2. Consider the graph G2(V2, E2) below. 2a. Find the MST of this graph with Kruskal’s algorithm. Draw the MST, and show the table [edge] [w(u, v)] [mark]. 2b. Find the MST of this graph with Prim’s algorithm starting at vertex 'a'. Draw the MST and list the vertices in order you added them to the MST. 2c. Would you get a different MST if you repeat 2b starting at vertex 'e'? Why or why not?Given the following graph, A C 3 1 E 4 В F 7 D 5 What is the next edge and vertex(s) to be included in the solution if a. we are using Prim's algorithm to find a minimum spanning tree and we have started with vertex E? Edge: Vertex(s): What is the next edge and vertex(s) to be included in the solution if b. we are using Kruskal's algorithm to find a minimum spanning tree Edge: Vertex(s): What is the next edge and vertex(s) to be included in the solution if c. we are using Dijkstra's shortest path algorithm to find shortest paths and we have started with vertex E, with C and F already included in the shortest path tree? Edge: Vertex(s):Write algorithm ShortestPath (G, s) pre-cond: G is a (directed or undirected) graph, and s is one of its nodes. post-cond: π specifies a shortest path from s to each node of G, and d specifiestheir lengths.