Find the minimal spanning tree(MST) and its weight for the following graph using Prims’s algorithm. The starting node is 0. Choose the node with the smallest label when you have the possibility to select from several nodes. NOTE: List the edges in order included in the minimal spanning tree and the total weight.

Q: If there are total n nodes in a graph , its MST will possess n+1 edges True False

A: A graph with n nodes have exactly n-1 edges in minimum spanning tree or MST. Because first node and…

Q: šiven the weighted graph below: ) Find the Minimum Spanning Tree (MST), using Prim's algorithm.…

A: a. find minimum spanning tree using prims algorithm. b. Now show the tree with minimum weight and…

Q: algorithm will always detect single source shortest path from a directed graph with negative edges.…

A: algorithm will always detect single source shortest path from a directed graph with negative edges.…

Q: Let’s consider there are 6 nodes. The nodes are denoted as A,B,C,D,E,F. The edges are(Remember all…

A: SUMMARY: - Hence, we got the desired output.

Q: 65. Þse the GeoGebra linked on the Task page of the lesson to find the Steiner points of graph K6,…

A: Steiner tree will include  vertices of the graph with minimum weights , it is not necessary to…

Q: A 3 8 00 F 3 D 5 сл 3 3 G 1 E 3 B 3 C 5. -For the given graph, perform Dijkstra algorithm for…

A: In the given graph, it contains 7 vertices that are {A, B, C, D, E, F, G} and between these vertices…

Q: (A 4 3 8 В C) (D) 1 3 5 E (F) (H) 7 5. 2.

A: Krushkal algorithm is used to find the minimum spanning tree:   1) Take a least edge. 2) consider…

Q: Question 10 A D. A 2 25 3 33 王1 24 25 24 42 38 15 30 32 B 41 23 6. 41 3 42 F33 38 1 30 19 .. 15 32…

A: Krushkals Minimum Spanning Tree Algorithm: Sort all edges in the spanning tree based on weights in…

Q: Consider flight network having places of departure and destination. Flight network represent Page 4…

A: Actually, given information is: place name as a node and flight trajectories between palce names are…

Q: Which statement is TRUE?   options: a A binary tree always has only two internal vertices  b A…

A: In a binary tree of height h,there are at most 2^h leaves is the correct answer. Option c In a…

Q: τ (K4) (the number of labeled spanning trees of K4) and display the set of graphs that verifies that…

A: τ (K4) (the number of labeled spanning trees of K4) and display the setof graphs that verifies that…

Q: Consider flight network having places of departure and destination. Flight network represent place…

A: Consider flight network having places of departure and destination. Flight network representplace…

Q: 55) Design an algorithm for finding a maximum spanning tree (a spanning tree with the largest…

A: The Answer is

Q: 2. 10 11 2 6 2 5 7. 2 3 1

A: We are given a graph and we are are going to apply Dijkstra on it, Dijkstra is used to find Single…

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: Find a minimum cost spanning tree in the graph below using Kruskal's Algorithm. (a) List the edges…

A: In given problem,  we have to find out minimum cost spanning tree from the graph using Kruskal's…

Q: A B. C D F A 2. 25 33 2. 24 41 42 38 25 24 23 15 D 41 23 30 32 E 3. 42 30 19 F 33 38 15 32 19 The…

A: Given that the weights of edges in a graph are shown in the table above. Find the minimum cost…

Q: 11 32 3. 39 15 B. 11 5. 28 44 14 32 5. 41 26 20 D. 3\ 28 41 31 38 39 44 26 31 25 15 14 20 38 25 The…

A: Here in this question we have given a wieght matrix and we have asked to find minimum spanning tree…

Q: Find the minimal spanning tree (MST) and its weight for the following graph using Prim's algorithm.…

A: First, remove all the parallel edges and self-loops. Choose the root node as A. Check the outgoing…

Q: State true or false   Every graph has only one minimum spanning tree.

A: Statement - Every graph has only one minimum spanning tree.

Q: Minimum Spanning Tree of a graph includes all its nodes Both the lazy and eager versions of Prims…

A: 1. Minimum Spanning Tree of a graph includes all its nodes. TRUE Explanation: Minimum Spanning Tree…

Q: a connected graph with 20 vertices contains 31 edges. without knowing which particular graph this…

A: Answer is given below .

Q: Q5. (а) Figure 5.0 shows an undirected weighted Graph A. В 18 17 12 15 13 4 D E F 11 9 14 19 8. 10…

A: The graph traveling techniques are two types 1.Breadth First Search. 2.Depth First Search. These two…

Q: A portion of the map of Dhaka is given in the picture. There are 2 mother nodes Motijheel, which is…

A: We need to implement Dijkstra's algorithm for the given map.

Q: et’s consider there are 6 nodes. The nodes are denoted as A,B,C,D,E,F. The edges are(Remember all…

A:

Q: 1- Represent the graph using adjacency lists.

A: Adjacency Matrix for the graph 0, 1, 3, 0, 0, 2, 0, 4, 5, 6, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1, 0, 0, 0,…

Q: 5. Draw a W, graph and label the vertices. Use a breadth first search starting at the central vertex…

A: W in W7 graph refers to a wheel graph which means is a chart framed by associating a solitary…

Q: Find a minimal spanning tree of the weighted graph below, using (a) Kruskal's Algorithm  (b) Prim's…

A: A graph is a set of vertices and edges which is represented as G = (V, E).  A minimum spanning tree…

Q: 3. Create the DFS algorithm of the following undirected graph by starting from node A. I you can…

A: Introduction: Here we are required to create a DFS algorithm for the given graph.

Q: Given the graph below, run the Kruskal’s algorithm to find the minimum spanning tree. Show the…

A: A minimum spanning tree has the (v-1) edges where V is the number of vertices in the graph. steps…

Q: URGENT!!! Using the given graph, answer the following questions:  a) Write the adjacency list of…

A: In this question, we have to write the adjacency list first. In adjacency list, we have to make a…

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: In breadth first traversal, starting at the first vertex, the graph is traversed as little as…

A: Here we have given the option based on breadth first traversal.You can find the solution in step 2.

Q: In the figure bellow, the nodes are laid out on a grid where each square has a size of 5x5 units.…

A: In the given graph nodes are labeled with english alphabet like A,B,C. The cost of traversing from…

Q: Compute a minimum spanning tree for the following graph, using the Prim-Jarnik algorithm, and…

A: ANSWER:-

Q: Which of the following is false? a) The spanning trees do not have any cycles b) MST have n – 1…

A: Question. Which of the following is false? a) The spanning trees do not have any cycles b) MST have…

Q: Consider the network below: G B M N H Create a spanning tree for this network using node A as the…

A: For creating Minimum Spanning Tree (MST),  we have two algorithms - Prim's Algorithm and Kruskal's…

Q: 1)what is the chromatic number for this graph 2)what is the minimum distance path(in edges) from…

A: Here we have given solution for the above mentioned problems. you can find the solution in step 2.

Q: Q6 Connected Components Suppose G is a connected graph. You want to know how many connected…

A: The solution to the given problem is below.

Q: Draw a graph, then produce a free and a rooted tree from that graph.

A: The answer is in step 2.....

Q: 3. Find the minimum spanning tree for the weighted graph below. Be sure to include the total cost,…

A:

Q: 1. For the graph in Figure 12.20, use Kruskal's algorithm ("avoid cycles") to find a minimum weight…

A: To find the minimum weight spanning tree the Kruskal's algorithm uses greedy method, the graph in…

Q: Consider flight network having places of departure and destination. Flight network represent place…

A: The java program is written which implements the given scenario Necessary comments are provided in…

Q: Mark Zuckerberg, the CEO of Facebook, has hired you to lead the Facebook Algorithms Group. He has…

A: - We need to determine if we should use adjacency-list representation or an adjacency-matrix…

Q: Find the minimal spanning tree (MST) and its weight for the following graph using Prim's algorithm.…

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

Q: ?Which of the following is false c) Removing one edge from the spanning tree will not make the graph…

A: Trees are graphs that do not contain even a single cycle. They represent hierarchical structure in a…

Q: Please help... Adding one more vertices... highlighted with with bold... Let A, B, C, D be the…

A: The answer is given in the below step

Q: 1. In the figure bellow, the nodes are laid out on a grid where each square has a size of 5x5 units.…

A: Figure depicts a search space in which the nodes are labeled with names like A, B, K, M. Here each…

Q: List the vertices of the following graph in the order they will be visited by each of the following…

A: a) The Breadth first traversal of the given graph is: H B G F D A C E

Depth First Search

Depth-first search (DFS) also known as Depth First traversal is an algorithm used to traverse or search the nodes in a tree or graph data structure. Traversal usually means visiting all the nodes of a graph. DFS performs in a depth-ward manner. It uses a stack to remember the vertices it has visited. The search starts from the root node, where any arbitrary node is selected as a root node in a graph, and then each node is explored along each branch before performing backtracking. The DFS algorithm uses a recursive technique by following the idea of backtracking. DFS algorithm does this by performing an in-depth search of all the nodes by traversing in a forward direction. If the required node is not found, it starts backtracking to previously visited nodes.