Concept explainers
Heuristic system:
The heuristic system considers all the immediate possible conditions that may lead to a solution to the problem. The system proceeds in the same manner until all the possible conditions are achieved. The heuristic system may require a large amount of work but ultimately it approaches towards a solution. The solution is one of the conditions achieved at the last. The conditions achieved at last may be in large numbers. It guarantees to have a solution among many conditions achieved in the end.
Best fit
To eliminate irrelevant moves, the tiles that are out of place should always be adjacent to the hole. The tiles that are already in place should not be moved. The best fit algorithm eliminates the moves having a higher cost but only for proceeding moves. This algorithm does not consider overall cost associated with a path.
Want to see the full answer?
Check out a sample textbook solutionChapter 11 Solutions
Computer Science: An Overview (12th Edition)
- Given an abstraction of the City Tube Map where each node represents the city’s attraction, plan the trip for the tourist to visit. Start from node 1 that is their hotel, a group of tourists wants to visit all places. However, due to the time limitation, they can only visit each attraction once. To find the best order of places to visit, genetic algorithm can be used to derive the best possible solutions.arrow_forwardA weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg.Draw the graph and answer the questions that follow. The graph that represents this problem is connected. A. True B. Falsearrow_forwardIn the figure below there is a weighted graph, dots represent vertices, links represent edges, and numbers represent edge weights. S 2 1 2 1 2 3 T 1 1 2 4 (a) Find the shortest path from vertex S to vertex T, i.e., the path of minimum weight between S and T. (b) Find the minimum subgraph (set of edges) that connects all vertices in the graph and has the smallest total weight (sum of edge weights). 2. 3.arrow_forward
- In this assignment, you will design the AddNode and AddEdge methods for the supplied graph data structure. The AddNode and AddEdge methods are to support the construction of undirected (bi-directional) graphs. That is if node A is connected to node B then node B is also connected to node A. In addition to the AddNode and AddEdge methods, create a method called BreadthFirstSearch that accepts a starting node and performs a Breadth First Search of the graph. The algorithm for the breadth first traversal is provided below 1. Add a node to the queue (starting node) 2. While the queue is not empty, dequeue a node 3. Add all unvisited nodes of the dequeued node from step 2 and add them to queue 4. End While Demonstrate your methods by creating the graph depicted in Figure 1 below and running the Breadth First Search on the graph using 0 as the starting node. (see image below) You may use C++, C#, to implement this program as long as the following requirements are met. A C++, or C#…arrow_forwardConsider a maze represented by a matrix of m rows and n columns with obstacles (see the figure below). A cell with a value = -1 is an obstacle that cannot be overcome. The goal is to start from cell [0, 0] and reach the last cell [m-1, n-1]. This may be possible by taking several paths. Count the number of these paths. The movement is allowed from cells (i+ 1, j) and (i, j+ 1) only. -1 -1 Provide two solutions, one iterative and one recursive to the above problem.arrow_forwardAssume you are to write a program to analyze the social connection between students in MTSU. Each student is a node in a undirected graph. An edge is added between two nodes if these two students have close social connections, i.e., in the same club, or in the same department. Which would be a better representation for this graph? Question 45 options: adjacency matrix representation adjacency list representationarrow_forward
- Write a program (WAP) to create an undirected graph using adjacency matrix representation.Number of nodes and edges should be taken from the user. After creating the graph, performfollowing operations: (6 Marks)(i) Search a node. Take the node number from the user. If the node is found then print its associatededges.(ii) Insert a node in the graph.(iii) Insert an edge in the graph. Take the node numbers from the user between which the edge is tobe inserted.(iv) Delete a node from the graph. Take the node number to be deleted from the user.(v) Apply DFS on the graph and print the graph traversal.(vi) Apply BFS on the graph and print the graph traversal.arrow_forwardSuppose a candidate solution p, where p is a phenotype consisting of 4 vertices. Suppose that minimum fitness occurs when no pair of vertices in p are connected, and maximum fitness occurs when all pairs of vertices in p are connected. Write a pseudocode on how to calculate the fitness F of p.arrow_forward"For the undirected graph shown below, give the number of vertices, the number of edges, and the degree of each vertex, and represent the graph with an adjacency matrix." This task is solved here, but it is only solved for task a, not b. could you help me with task b?arrow_forward
- A weighted, directed graph is a suitable representation to represent the daily airline routes flown by a small airline. The airline have the following daily flights: - Three flights from Cape Town to Johannesburg, - Two flights from Johannesburg to Cape Town. - Four flights from Johannesburg to Durban. - Three flights from Durban to Johannesburg. - One flight from Johannesburg to George. - One flight from George to Johannesburg. Draw the graph and answer the questions that followarrow_forwardTrue or false: For graphs with negative weights, one workaround to be able to use Dijkstra’s algorithm (instead of Bellman-Ford) would be to simply make all edge weights positive; for example, if the most negative weight in a graph is -8, then we can simply add +8 to all weights, compute the shortest path, then decrease all weights by -8 to return to the original graph. Select one: True Falsearrow_forwardIn this question you will explore Graph Colouring algorithms. Given a graph G, we say that G is k-colourable if every vertex of G can be assigned one of k colours so that for every pair u, v of adjacent vertices, u and v are assigned different colours. The chromatic number of a graph G, denoted by χ(G), is the smallest integer k for which graph G is k-colorable. To show that χ(G) = k, you must show that the graph is k-colourable and that the graph is not (k − 1)-colourable. Question: It is NP-complete to determine whether an arbitrary graph has chromatic number k, where k ≥ 3. However, determining whether an arbitrary graph has chromatic number 2 is in P. Given a graph G on n vertices, create an algorithm that will return TRUE if χ(G) = 2 and FALSE if χ(G) 6= 2. Clearly explain how your algorithm works, why it guarantees the correct output, and determine the running time of your algorithm.arrow_forward
- Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill EducationStarting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSONDigital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
- C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSONDatabase Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage LearningProgrammable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education