Giving that, after applying Depth-first search (DFS), the visited nodes are as follows: A-B-E-F-G-C-H-D-I-J Assuming the order of the nodes are in alphabetic order ABC, and the starting node is A 1. Draw the graph tree for this problem. 2. Visit all the nodes using the Breadth-first search (BFS). 3. If the goal is to reach node G from node A, show the solution after applying both BFS and DFS and show which algorithm is faster.

Q: Q1/Consider the search graph below where S is the start node and G1, G2, G3 are goal, using A*…

A: A* algorithm works as follows: Starting a the the start node it maintains a tree of paths.…

Q: implement algorithm PrimMST (G)  pre-cond: G is an undirected graph.  post-cond: The output consists…

A: Because which edges are evaluated changes as the algorithm progresses, this is an adaptive greedy…

Q: I am struggling to draw a spanning tree using a depth-first when the following graph has a vertex A…

A: To get spanning tree using DFS follow the following steps :1. Start at a chosen vertex (let's say we…

Q: Please help me with this algorithm. The algorithm should be in psuedocode format. Thank you.…

A: Answer : Algorithm ConstructTPrime(G, (u,v))     Input: Graph G = (V, E) and edge (u,v)     // Add…

Q: Suppose you are given a fully connected graph where the weight of all the edges is the same. Now, if…

A: Yes it is possible.

Q: FS traversal of the graph in Figure 1 starting at r he alphabetical order. List the nodes in the…

A: Solution - In the given question, we have to do DFS and BFS traversal for the given graph.

Q: graph search: (randomized) Indicate the order in which nodes are visited in breadth-first and…

A: Breadth-First Search (BFS) and Depth-First Search (DFS) are two fundamental algorithms used for…

Q: G be a connected graph with n vertices and m edges

A: Given :- In the above question, a connected graph G with n vertices and m edges is mention in the…

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 following graph: Type the weight of each edge in the order in which they will be…

A: Here in this question we have given a graph and we have asked use kruskal algorithm and find minimum…

Q: 3. Write all possible BFS traverses for the following graph starting from node K. " K F H B

A: Breadth First Search for the graph is similar to the Breadth First Traversal of the tree.

Q: Let A be the set {1,3,5,7,9}. How many sequences on A sum to 6?

A: This is a basic recursion problem where we need to find all the sequences of set {1,3,5,7,9} and…

Q: mplementation Part Use appropriate data structure for the given search space and heuristic values.…

A: The Graph must be converted into matrix to find the shortest route: The equivalent matrix for the…

Q: What is the running time of Depth First Search A) O(\E| + |V]) B) O(\E||V|) C) O(\V°) D) O(\E| +…

A: Let us the answers below,

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: The Dream SMP is the first place to be attacked by the army of the creepers and zombies. Dream with…

A: Solution as per the given information

Q: Problem 4. Consider the following undirected graph in which the number on each edge indicates its…

A: In given problem 4: We have to find out the minimum spanning tree using Prim's algorithm. We have to…

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: S T W X Y V U

A: Breadth-first search starting at vertex S  to constructed a spanning tree of the given graph

Q: 1. Provide an algebraic expression, in terms of n, for the size of the phenotypic search space (the…

A: According to bartleby guidelines we are supposed to answer only 1 question or 3 subparts of the same…

Q: Note: list the edges in the order included into the minimum spanning tree and the toal weight.

A: In this question, we have to find out MST for given graph and it's weight

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: In which order will the nodes(vertices) in the graph below be visited during a depth-first traversal…

A: Order in which the nodes will be traversed if Depth First Traversal start at Node A.

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: Write a program that creates the minimum spanning tree for the graph in Figure

A: The minimum spanning tree algorithm is really just a graph search algorithm (depth-first or…

Q: 4-Clique Problem The clique problem is to find cliques in a graph. A clique is a set of…

A: Introduction: A graph where no two vertices are connected by more than one edge, and no edge begins…

Q: Given the graph below: which node should be the source node ("x") in finding the shortest path tree…

A: The question is to choose the correct option from the given four options.

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: h tree after expansion of each node until the termination of the algorithm for: a)   Greedy…

A: For straight-line distance heuristic, draw the search tree after expansion of each node until the…

Q: One can model a maze by having a vertex for a starting point, a finishing point, dead ends, and all…

A: According to the information given:- We have to construct a graph of the mentioned maze and find out…

Q: 2 10 10 30 20 100 4 60

A:

Q: 1. Input: An undirected weighted graph G = (V, E, w) 2. Output: An MST T = (V, E ) of G 3. T ← Ø 4.…

A: Algorithm: 1. Input: An undirected weighted graph G = (V, E, w)2. Output: An MST T = (V, E) of G3. T…

Q: Write Kruskal’s algorithm with the union–find data structure incorporated is as follows.  pre-cond:…

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

Q: Consider the following graph. Start from vertex x, use the Depth First Search (DFS) algorithm…

A: Depth First Search Algorithm uses a stack data structure while traversing and when there are no new…

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.