Question 1: For the following state space graph: S G B A E D H 1. Using the breadth-first search algorithm, find the path from S to G and fill the table of current nodes and fringes.

Q: 5. Given the directed graph as below: А B E F (D H List the nodes of, in ascending order, starting…

A: Using BFT and DFT to ascending order in the given graph

Q: 6. Based on the directed graph below, answer the following questions; T W X Z Y a) List the nodes of…

A: a) List the nodes of the graph in ASCENDING order using Breadth-First Traversal (the origin node is…

Q: Problem 1 For the graph below, construct a depth-first search spanning tree rooted at vertex a. Use…

A: Let's firstly do a DFS traversal for following graph and if there will be multiple nodes to one…

Q: 8. For the weighted graph depicted below apply Prim's algorithm to find a minimal spanning tree.…

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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: 2. Use the breadth-first algorithm to find a spanning tree for the graph in Problem 1.

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Q: Apply the breadth-first search algorithm to the following graph starting at node D.

A: BFS algorithm is a recursive algorithm to search all the vertices of a tree or graph data structure.…

Q: Use the shortest path algorithm to find the shortest distance between vertic and e in the following…

A: We can use dijkstra's algorithm to find shortest path between 2 vertices

Q: It is essential to consider the benefits and drawbacks of weighted graphs and adjacency lists.

A: A Weighted Graph Is As Follows: When a weight is applied to each edge of a graph, one may speak of…

Q: Represent the following graph using Linked List and write its Adjacency matrix. |

A: We are given a graph which is directed connected graph, and we are going to represent the graph…

Q: Problem 3. Give a linear time, depth-first-search algorithm to find the size of the largest…

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Q: Find the adjacency matrix of the graph. Draw the adjacency list of the graph. List the nodes of the…

A: The given information represents a directed graph with 10 nodes and their corresponding adjacency…

Q: 5. Use Dijkstra's algorithm to determine a shortest path in the weighted graph with minimum total…

A: Dijkstra's algorithm  The Dijkstra's algorithm (/dakstra/ DYKE-strz) is a technique for determining…

Q: Find The transitive clousure of the following graph using Warshal’s Algorithm.

A: Please give positive ratings for my efforts. Thanks.   PROGRAM   #include <iostream> #include…

Q: For the following undirected graph (unless otherwise indicated, always visit adjacent nodes in…

A: Introduction: Here we are required to explain and give the DFS and BFS for the given undirected…

Q: (a) List/Describe all types of graphs that have a diameter equal to 1? (b) What is the diameter of…

A: Since , in a above graph the maximum distance between two vertices of a graph is '1' Hence, the…

Q: Consider the following graph G Determine whether the following graph G is bipartite. If so, color…

A: Bipartite graph :   A graph G=(V, E) is called a bipartite graph if its vertices V can be…

Q: Section 4: Part 1: Use the appropriate weighted graph algorithm to find the shortest paths from node…

A: Answer is given below-

Q: It is essential to consider the benefits and drawbacks of weighted graphs and adjacency lists.

A: Introduction: Flash memory that doesn't lose its data if the power goes offNon-volatile memory The…

Q: Assume that the graph G contains n nodes and m edges and that depth-first search takes n minutes to…

A: A cutting algorithm or searching graph data structures constitutes the first step in searching for…

Q: It is essential to consider the benefits and drawbacks of weighted graphs and adjacency lists.

A: An array that holds the addresses of all the linked lists constitutes what is known as an adjacency…

Q: 5. Use Dijkstra's algorithm to determine a shortest path in the weighted graph with minimum total…

A: Step -1 First, let the distance from the source node to all other nodes is infinity. Nodes S P U…

Q: 1. Given the map below, we want to find a path from K to R. Consider only graph search, i.e each…

A: Here we find solution path using :…

Q: A. Depth First Search B. Breadth First Search A G D B H E C I F

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Q: Use Prim's algorithm and Kruskal's algorithm to find a minimum spanning tree for the weighted graph…

A: In prim's algorithm let the starting vertex be a. From a go on choosing the next least weight edge.…

Q: It is essential to consider the benefits and draw adiano linto

A: Benefits of weighted graphs include the ability to model more complex relationships between objects,…

Q: 6. Find the spanning tree for the following graph starting from A: A G D E F H J I a. Using…

A: Given:   We have to find the spanning tree for the following graph staring from A.

Q: Consider the following directed graph. H A F В E D 1. Perform depth-first search with timing…

A: DFS: Depth first Search or Depth first traversal is a recursive algorithm for searching all the…

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: 1. Use depth-first search to produce a spanning tree for the simple graph G. Choose vertex a as the…

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Q: Bellman-Ford algorithm to calculate the shor

A: Q.

Q: 10 15 13 4 16 12 14 Consider the graph given above. Use Kruskal's algorithm to find the minimum…

A: Kruskal's algorithm is a grееdy algorithm that finds the minimum spanning trее (MST) of a graph. An…

Q: Use depln-is Ist given simple graph. Choose a as the root of this spanning tree. pro (а) а h d b (b)…

A: Spanning Tree: Let G be a straightforward graph. A spanning tree is a subgraph of G that is a tree…

Q: Find the connected components of this graph and illustrate your method. 20 H

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Q: a) What is Graph Traversal? b) Is the following graph Euler? Explain your opinion. 1 2 7 c) Write…

A: A graph consists of vertices and edges which connecting the vertices. Graph traversal is the process…

Q: a) Given the following directed graph: b S с a State the sequence of vertices visited using…

A: Answer is given below:

Q: Statement 1: The Floyd Warshal's Algorithm can be used to also detect negative weight cycles in a…

A: Introduction : Given , Two statements related to Algorithms related to graphs we have to find out…

Q: 18 Consider the graph given above. Use Dijkstra's algorithm to find the shortest path between I and…

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Q: 3. Run the Floyd-Warshall algorithm on the following directed graph. Show the matrix D) that results…

A: Please see below. Explanation: Below is the matrix after applying the Floyd-Warshall Algorithm:

Q: ) Give the minimum spanning tree using Prim’s algorithm (starting at vertex A). B) Give the…

A: The minimum spanning tree of the given graph

Q: 4. Use the Depth-First search algorithm to construct a strongly connected graph.

A: Connected graph- A strongly connected graph is a graph G (u,v) if there exists a path between all…

Q: Write pseudocode for the basic depth-first-search algorithm. The input graph G may be undirected or…

A: The following pseudocode is the basic depth-first-search algorithm. The input graph G may be…

Q: 1. Consider the weighted, directed graph containing the following vertices and edges. (Weights are…

A: 1. Consider the weighted, directed graph containing the following vertices and edges.(Weights are in…