Please show the simulation of this problem. The simulation must be clear and understandable. A = {1,2,3}B = (2,3,4,5,6)BCC = {1,2,3,4,5)The above graph showcases a Constraint graph consisting of 3 nodes A, B, and C along withtheir possible domains. Now you have to employ Backtracking Search with ForwardChecking to develop a solution to this CSP. You must use Degree and MRV heuristicswherever needed. Your solution also must satisfy the given constraints (i) A = B; (ii) A C/2;and (iii) B = C

Step 1: To solve the given constraint satisfaction problem (CSP) using backtracking search with…

Answered: A = {1,2,3} B = (2,3,4,5,6) B C C =…

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Write to code describes how to create the links dataset that represents the input graph. In this particular case, the links represent a directed network. The links dataset has only the nodes identification, which means, the from and to variables. The link weights in the transitive closure problem are irrelevant. In other words, it doesn’t matter the cost or the weight of the links, the algorithm searches for the possible paths to connect the nodes within the input graph. If there is a link or a set of links, no matter the weights, that connects node i to node j, that is the matter.
5. If a graph has 0.5 * V2 edges, what is the running time of the unweighted shortest path algorithm if you use an adjacency matrix? a) (V) b) (V + E) c) (E) d) none of the above 6. If a graph has 0.5 * V2 edges, what is the running time of the unweighted shortest path algorithm if you use an adjacency list? a) (V) b) (V + E) c) Ꮎ( V2 ) d) b or c are equivalent
A quadratic function f(x) is hidden from view. You must find the minimum value of the function f(x). Choose the form of the quadratic function f(x) that you would like to see in order to answer the question most efficiently. Form: Vertex Form ,f(x)=(x-3)^(2)-25
A network topology specifies how computers, printers, and other devices are connected over a network. The figure below illustrates three common topologies of networks: Ring, Star, and Fully Connected Mesh. You are given a boolean matrix A[0..n−1, 0..n−1], where n > 3, which is supposed to be the adjacency matrix of a graph modeling a network with one of these topologies. Your task is to determine which of these three topologies, if any, the matrix represents. Design a brute-force algorithm for this task and indicate its time efficiency class.
Consider the graph in Figure 1. Unless otherwise indicated, always visit adjacent nodes in alphabetical order. Provide the A* search traveling nodes. Starting node and Goal node are Node 5 and Node 12, respectively. 12 10 16 15 2 3 11 12 15 10 15 10 11 12 12 4 1 Figure 1. A Route Map Requirements: When filling in the blank blow, please choose "-" to link nodes, such as 1-2-3. Travel Map: type your answer.
Your colleague needs to implement a search algorithm to apply to a particular problem they are facing. The problem has the following characteristics: ● The graph representing the problem has a very high forward branching factor. ● The graph is dynamically generated (i.e. it is not a static graph). ● There will be some cycles in the graph . ● There is reason to believe that the goal state will be very deep in the graph. ● There is an efficient method of estimating how far each state is from the goal, and an estimate will always be less than or equal to the actual cost . Of the search algorithms we have covered, which would you recommend to your colleague, and why? Be very detailed in justifying this choice and providing advice about things they should pay special attention to.
CSP Given the map-coloring problem represented in the constraint graph below. Connecting variables (adjacent regions in a map) can't have the same value. A Previous D E LL F How many solutions are there if three colors are allowed? 9 --DO Next
Question 2: The highway distance between 6 cities named (A ... G) are illustrated in the following adjacency matrix: A B D E F A 7 19 8. 28 B 10 18 40 C 19 10 16 17 D 18 16 14 10 E 40 14 12 F 28 17 10 12 a) Draw the graph that represent such adjacency matrix b) List the right sequence of nodes traversed by the DFS and BFS algorithm starting from node A c) Does this graph possess a Euler circuit/path? does not exist, how the graph can be modified to have one? d) Draw the minimum spanning tree of this graph e) Use the Dijkstra's algorithm to determine the shortest paths from city (A) to all other cities , why? If any of them Determine the shortest path and cost from node A to node E [Hint: implement the algorithm step by step to show which node will be added in sequence] f) Determine the shortest paths between all pairs of nodes using Floyd-Warshall algorithm.
The following is an instance of the conjunctive normal form (CNF) problem. (x1 V 2 V x3) ^ (x3 V¤1) ^ (x2 V x3) Transform this problem into a clique problem. The solution to this CNF problem is not unique. Use the graph to find 3-member cliques. Each column should contain 1 member. Find as many cliques as you can find. Find their corresponding CNF solutions.
Adjacency matrix. Given a relation relation (as a numpy.array, see example below) and number of nodes n, define a function adjacency to construct the adjacency matrix A (as a numpy.array).You can assume that n is a positive integer and treat relation as a list of directed edges. # Example from p112 of VMLSrelation = np.array([[1, 2], [1, 3], [2, 1], [2, 4], [3, 4], [4, 1]])n = 4 # Modify the function adjacency below with your answer for Q8def adjacency(relation, n): A = None ########################### ### YOUR CODE HERE ######## ## REMOVE THIS LINE-------- raise NotImplementedError() ## ------------------------ ########################### return A
Exercise # 4: Level of each node in the graph How to determine the level of each node in the given graph? As you know, BFS involves a level-order traversal of a graph. Hence, you can use BFS to determine the level of each node as well. S Level 0 1 Level 1 Level 2 3 4 5 6. Level 3 Exercise # 4a: Write a function nodes_of_level(G, level) that takes a graph and level number as input and returns a list of all the nodes that are on the given level. Example 1: Input Adjacency list representation of graph shown above. level = 1 Output [1, 2] Example 2: Input Adjacency list representation of graph shown above. level = 2 %3D Output [3, 4, 5, 6] 9, 2.

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