16.A1ᎠStep0123451N'1Consider the following network.75--F1) With the indicated link costs, use Dijkstra's shortest-path algorithm to compute theshortest path from D to all network nodes. Show how the algorithm works by filling inthe following table, where d(x) is the cost of the least-cost path from the source node Ddestination x as of the current iteration of the algorithm, p(x) is the previous node(neighbor of x) along the current least-cost path from the source D to x, N' is the subsetof nodes whose shortest path from the source D has definitely been known.d(A),p(A) d(B),p(B) d(C),p(C) d(E),p(E) d(F),p(F)-B2) According to the table computed in 1), show the shortest path tree rooted at D.3) According to the results from 1) and 2), create the forwarding table, in which each rowconsists of two fields, destination and next hop.

In this network analysis scenario, we are tasked with applying Dijkstra's shortest-path algorithm to…

6. A | 1 2 | D- 1 1 Consider the following network. -C- 1 | 3 1 -E- 7 5 --F -B 1) With the indicated link costs, use Dijkstra's shortest-path algorithm to compute the shortest path from D to all network nodes. Show how the algorithm works by filling in the following table, where d(x) is the cost of the least-cost path from the source node D to destination x as of the current iteration of the algorithm, p(x) is the previous node

6. A | 1 2 | D- 1 1 Consider the following network. -C- 1 | 3 1 -E- 7 5 --F -B 1) With the indicated link costs, use Dijkstra's shortest-path algorithm to compute the shortest path from D to all network nodes. Show how the algorithm works by filling in the following table, where d(x) is the cost of the least-cost path from the source node D to destination x as of the current iteration of the algorithm, p(x) is the previous node

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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Suppose the following PDA P = ({q, r}, {0,1}, {Z0, X}, δ, q, Z0, ∅) is given: 0, Z0/XZ0 1, Z0/ϵ 0, X /XX 1, X /XX 1, X /X ϵ, X/ϵ Convert P to a PDA P′ with L(P′) = N(P).
x=[10,1,20,3,6,2,5,11,15,2,12,14,17,18,29] for i in range (0, len(x)): m = x[i] 1 = i # Finding the minimum value and its location for j in range(i+1, len(x)): if(m >x [j]): m= x[j] 1 = j # Now we wiLL do the swapping tmpry = m x[1] = x[i] x[i] = tmpry print(x) 8. The code above is written in Python programming language. In this sample, there are many sectors where you can apply knowledge of code refactoring. Mention each criteria where this code lacks and provide appropriate suggestions to improve. (Hint: Code Smells e.g: Naming Convention, Code length, Assertion etc.)
5. Simplify the following functions using a K-map: (a) F(X,Y) = m2 + m; (b) F(X,Y) = X + X'Y (c) F(X,Y) = X' + XY' (d) F(X,Y.Z) =mo + m2 + mg + m, (e) F(X,Y,Z) = X'Y'Z' + X'YZ + XY'Z + XYZ (f) F(X,Y.Z) = A(0, 2, 5, 7) (g) F(X,Y,Z) = XY'Z + X' +Z + Y'Z' (h) F(W,X,Y.Z) = X'Y'Z' + XYZ' + WXY + W'X'Y' + WZ (i) F(W.X,Y.Z) =X' + XZ' + WXY + W'Y' + WZ
Pls solve this question correctly in 5 min i will give u like for sure direct(src, graph) uses Djikstra’s single source shortest path algorithm to find the shortest path from the source to each other node in the network. It is recommended that you use the included heap data structure, as it has a method for decreasing keys when a lower cost path is found. def direct(src, graph): # TODO return {}
8. without using any standard template library Write code for DAG shortest path algorithm to find shortest path from a given source node to all other nodes using adjacency list representations Write code for DAG shortest path algorithm to find shortest path from a given source node to all other nodes using adjacency matrix representations.
c. Briefly discuss the count to infinity problem in the DV algorithm by changing the link cost D(X,Y) for the worse from 4 to 60 and showing the painfully slow convergence from the converged distance vector configuration in 1. a. (You may stop after a few iterations and indicate the number of iterations required for full convergence.
In the graph given below, consider that you keep track of already expanded nodes and their f cost. Also, if you visit an already expanded node by some other branch, you push it back to the fringe only if their new f cost is lower than the previous f cost. Now, simulate Greedy Best First Search and A* Search algorithm on the following graph considering X as the start node and P as the goal node.
Dynamic ProgrammingConsider the following network below: (a) Label all of the nodes such that for every arc, (i,j), where i is the start and j the end node for the arc, the labels satisfy i < j.(b) Why can we use the node labeling algorithm to label the nodes in this network? (c) Use forward DP to find the shortest path from your first labeled node to every node in the network.(d) What fundamental characteristic of dynamic programs allow us to breakdown large-sized problems into a series of smaller-sized problems? What does this characteristic establishes?
Formulate and solve the multi-target shortest path problem on this network (from the source node 1 to all other nodes). Next formulate and solve the dual of the shortest path problem and compare your results with that of the primal problem. Please show me the Linear programming model and results.
3. Suppose that we want to know which agents are connected by a walk of length two in a given network. That is, want to know the set of ordered pairs (i, j) such that there exists a walk of length 2 between any i and j. Define n as the number of nodes and m as the number of links. (a) One way to do this is to input the adjacency matrix A, calculate A², then output all pairs (i, j) for which A(i) > 0. Defining scalar multiplication and addition as "basic operations," up to a constant c, how many "basic operations" are required to calculate A², in terms of n and m? (Hint: First think about how many operations are required to calculate each entry of A², then multiply by the number of entries.) (b) Suppose that we want to know the number of agents who are connected by a walk of length k in a given network, where k≥ 1. Up to a constant, how many basic operations are required to calculate Ak, in terms of n and m? (c) (Harder) We showed in class (Lecture 4) that a simple adaptation of…
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1. Assume that the nodes in the graph represent cities. Apply A* algorithm to find the shortest path from node S to node G. Numbers in red are the estimated distances from each node to the goal node and the numbers in green are the actual distances. At each step, show the paths generated and their costs. A.Explain how underestimating improves the algorithm and ensures the least cost path.