Artificial Intelligence: A Modern Approach
3rd Edition
ISBN: 9780136042594
Author: Stuart Russell, Peter Norvig
Publisher: Prentice Hall
expand_more
expand_more
format_list_bulleted
Concept explainers
Expert Solution & Answer
Chapter 4, Problem 6E
Explanation of Solution
Modifying the AND-OR-GRAPH-SEARCH
- Check the figure S4.2 for the modified algorithm. When the OR-SEARCH cycles back to a state on “path” it returns a token “loop”. This means to loop back to the most recent time this state was reached along the path to it.
- There is sufficient information for later processing or a modified implementation to replace these with labels since the “path” is implicitly stored in the returned plan...
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
In hill-climbing algorithms there are steps that make lots of progress and steps that make very little progress. For example, the first iteration on the input given might find a path through the augmentation graph through which a flow of 30 can be added. It might, however, find the path through which only a flow of 2 can be added. How bad might the running time be when the computation is unlucky enough to always take the worst legal step allowed by the algorithm? Start by taking the step that increases the flow by 2 for the input. Then continue to take the worst possible step. You could draw out each and every step, but it is better to use this opportunity to use loop invariants. What does the flow look like after i iterations? Repeat this process on the same graph except that the four edges forming the square now have capacities 1,000,000,000,000,000 and the crossover edge has capacity 1. (Also move t to c or give that last edge a large capacity.)1. What is the worst case number of…
The maze is described as a graph with a start, goal, edge lengths, and two types of edges: regular paths in the maze, and hedges which one can crawl through. We are only allowed to crawl through edge once. (Some parts of the maze are too thick to crawl through.) Design an algorithm which finds the shortest path to the goal, as quickly as possible.
Please do not use the modified version of Dijkstra. Instead modify the graph and use regular version of Dijkstra
Correct answer will be upvoted else Multiple Downvoted. Computer science.
You are given an undirected diagram comprising of n vertices and n edges. It is ensured that the given chart is associated (I. e. it is feasible to arrive at any vertex from some other vertex) and there are no self-circles and various edges in the chart.
Your assignment is to work out the number of straightforward ways of length somewhere around 1 in the given diagram. Note that ways that vary exclusively by their course are viewed as something very similar (I. e. you need to compute the number of undirected ways). For instance, ways [1,2,3] and [3,2,1] are viewed as something very similar.
You need to answer t free experiments.
Review that a way in the diagram is a grouping of vertices v1,v2,… ,vk with the end goal that each pair of contiguous (sequential) vertices in this succession is associated by an edge. The length of the way is the number of edges in it. A basic way is such a way that all vertices…
Chapter 4 Solutions
Artificial Intelligence: A Modern Approach
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- In Computer Science a Graph is represented using an adjacency matrix. Ismatrix is a square matrix whose dimension is the total number of vertices.The following example shows the graphical representation of a graph with 5 vertices, its matrixof adjacency, degree of entry and exit of each vertex, that is, the total number ofarrows that enter or leave each vertex (verify in the image) and the loops of the graph, that issay the vertices that connect with themselvesTo program it, use Object Oriented Programming concepts (Classes, objects, attributes, methods), it can be in Java or in Python.-Declare a constant V with value 5-Declare a variable called Graph that is a VxV matrix of integers-Define a MENU procedure with the following textGRAPHS1. Create Graph2.Show Graph3. Adjacency between pairs4.Input degree5.Output degree6.Loops0.exit-Validate MENU so that it receives only valid options (from 0 to 6), otherwise send an error message and repeat the reading-Make the MENU call in the main…arrow_forwardThe Graph Data Structure is made up of nodes and edges. (A Tree Data Structure is a special kind of a Graph Data Structure). A Graph may be represented by an Adjacency Matrix or an Adjacency List. Through this exercise, you should be able to have a better grasp the Adjacency Matrix concept. You are expected to read about the Adjacency Matrix concept as well as the Adjacency List concept. Suppose the vertices A, B, C, D, E, F, G and H of a Graph are mapped to row and column indices(0,1,2,3,4,5,6,and 7) of a matrix (i.e. 2-dimensional array) as shown in the following table. Vertex of Graph Index in the 2-D Array Adjacency Matrix Representation of Graph A B 2 F 6. H 7 Suppose further, that the following is an Adjacency Matrix representing the Graph. 3 4 5. 6. 7 0. 1 1 1 1 01 1 01 1. 3 14 1 1 1 6. 1 Exercise: Show/Draw the Graph that is represented by the above Adjacency matrix. Upload the document that contains your result. (Filename: AdjacencyMatrixExercise.pdf) Notes: -The nodes of the…arrow_forward(V, E) be a connected, undirected graph. Let A = V, B = V, and f(u) = neighbours of u. Select all that are true. Let G = a) f: AB is not a function Ob) f: A B is a function but we cannot always apply the Pigeonhole Principle with this A, B Odf: A B is a function but we cannot always apply the extended Pigeonhole Principle with this A, B d) none of the abovearrow_forward
- 2. An undirected graph G can be partitioned into connected components, where two nodes are in the same connected component if and only if there is a path connecting them. Design and analyze an efficient algorithm that computes the connected components of a graph G given in adjacency list format. Be sure to give a correctness argument and detailed time analysis. You can use algorithms from class as a sub-procedure, but be sure to use the claims proven about them carefully. A good algorithm has time approximately 0(n + m) where the graph has n nodes and m edges.arrow_forwardThe following table presents the implementation of Dijkstra's algorithm on the evaluated graph G with 8 vertices. a) What do the marks (0, {a}) and (∞, {x}) in the 1st row of the table mean? b) What do the marks marked in blue in the table mean? c) Reconstruct all edges of the graph G resulting from the first 5 rows of the table of Dijkstra's algorithm. d) How many different shortest paths exist in the graph G between the vertices a and g?arrow_forwarduse my ID : 201909010 SOLVE ALL BY matlab Consider the graphs of the functions f(x) = m - 1x and g(x) = 2x² — n where m and n are the maximum and mean values of the digits in your student-ID number. a) Create a vector v whose elements are the digits of your student-ID number. b) Create a variable m and assign the maximum digit in v to it. Create a variable n and assign the mean value of the digits in v to it. d) Define the function f(x) and g(x) above as anonymous functions. Plot the graphs of f(x) and g(x) on the same figure using the MATLAB function ezplot. f) Find the exact values of the x-coordinates of the intersection points between the two graphs using the MATLAB function solve. g) Find the area bounded by the two graphs.arrow_forward
- 3. Given the following minterm expansion: F(a, b, c, d) = Em(0, 2, 3, 4, 8, 10, 11, 15) Draw the K-Map Find out all essential prime implicants, do it systematically. Do you need additional loops to cover all the minterms. If yes, find the additional prime implicants. Get the minimum SO.arrow_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_forwardIn order to determine the full histogram for all matchings of a given size, we need to generate every single possible matching in a unique way. This is where the inductive description from the introduction becomes useful, as it provides a way to do so recursively: We can generate all arc diagrams with n arcs from all arc diagrams with (n - 1) arcs by adding one arc to each of them in precisely 2n 1 ways. To this end, we take an arc diagram with (n - 1) arcs, insert one new point at the left end and one more point somewhere to the right of it (2n − 1 options), and then match the newly inserted points to obtain the additional arc. The only "problem" is that we need to relabel some points in doing so. - - Inserting a point to the left implies that the indices of the other points all have to be increased by one. Moreover, if we insert another point at some position m, then all the indices with values m and larger again have to be increased by one. . = 1, 2, 3. This implies that all indices…arrow_forward
- a) Apply Dijkstra's algorithm to the graph below to compute all the shortest paths from node "J". Show all the steps and report the list of shortest paths b) Describe precisely how you can change the graph so that the Dijkstra's algorithm would no longer work.arrow_forwardB A D Shown here is a simple graph with no edge weights. Use the distance-vector algorithm to find the minimum distance between all the nodes. Fill out both tables (the initial table and after the first swap). I've only putarrow_forwardWrite 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_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Database System ConceptsComputer ScienceISBN:9780078022159Author:Abraham Silberschatz Professor, Henry F. Korth, S. SudarshanPublisher:McGraw-Hill Education
Starting Out with Python (4th Edition)Computer ScienceISBN:9780134444321Author:Tony GaddisPublisher:PEARSON
Digital Fundamentals (11th Edition)Computer ScienceISBN:9780132737968Author:Thomas L. FloydPublisher:PEARSON
C How to Program (8th Edition)Computer ScienceISBN:9780133976892Author:Paul J. Deitel, Harvey DeitelPublisher:PEARSON
Database Systems: Design, Implementation, & Manag...Computer ScienceISBN:9781337627900Author:Carlos Coronel, Steven MorrisPublisher:Cengage Learning
Programmable Logic ControllersComputer ScienceISBN:9780073373843Author:Frank D. PetruzellaPublisher:McGraw-Hill Education
Database System Concepts
Computer Science
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:McGraw-Hill Education
Starting Out with Python (4th Edition)
Computer Science
ISBN:9780134444321
Author:Tony Gaddis
Publisher:PEARSON
Digital Fundamentals (11th Edition)
Computer Science
ISBN:9780132737968
Author:Thomas L. Floyd
Publisher:PEARSON
C How to Program (8th Edition)
Computer Science
ISBN:9780133976892
Author:Paul J. Deitel, Harvey Deitel
Publisher:PEARSON
Database Systems: Design, Implementation, & Manag...
Computer Science
ISBN:9781337627900
Author:Carlos Coronel, Steven Morris
Publisher:Cengage Learning
Programmable Logic Controllers
Computer Science
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education