46. (a) Solve the six-city TSP shown in the diagram using the nearest-neighbor algorithm starting at vertex A and starting at vertex B.

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Q: Consider the 8-city traveling salesman problem whose links have the associated distances shown in…

A: Given: The 8-city traveling salesman problem whose links have the associated distances shown in the…

Q: rind the Euler Circuit on this graph using Fleury's algorithm, starting at vertex A.

A: Find the Euler Circuit on this graph using Fleury's algorithm, starting at vertex A.

Q: in the stable matching algorithm, with n=3 for n men and n women. where the man is the home wrecker.…

A: A) For n=2, Here, 2 men, 2 women stable marriage of instance and man A will have the same optimal…

Q: 2 . Use Prim's and Kruskaľ's algorithm to find a minimum spanning tree of the graph shown below. 3 2…

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Q: 3 5 3 5 ) Execute Prim's algorithm on above weighted graph, starting at vertex a. For each step of…

A: Since you have asked multiple questions soas per guidelines  we will solve the first question for…

Q: 24. An algorithm is called optimal for the solution of a prob- lem with respect to a specified…

A: (24) (a) Algorithm 1 to find maximum number isMaxa1,a2,...,anMax=a1For i=2 to nIf max<ai then…

Q: 1. Consider the graph above. Give an ordering of the vertices so when you apply the greedy algorithm…

A: Given:

Q: QUESTION 10 9. Please use the graph below to show that Dijkstra's algorithm cannot be used if the…

A: Dijkstra's Algorithm does not work for negative edges. It may give wrong results "In Dijkstra's…

Q: 3. Apply Dijikstra's algorithm and find shortest path from 0 to all other nodes. 10 2.

A: To find- Apply Dijikstra's Algorithm and find shortest path from 0 to all other nodes.

Q: 6) solve y'- with the putzer algorithm. 2.

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Q: Use the shortest path algorithm to find a shortest st-path in the following graph. The number on…

A: Let, the other vertices are A,B,C & D as shown above.Denote, Wv               For length W…

Q: (a Four persons, 4, B, C and D, are assigned to run a 4 x 400 relay. The persons, their positions in…

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Q: 10. 15 11 8. 13. Draw the circuit produced using the nearest neighbor algorithm starting at the…

A: Given graph is Nearest neighbor algorithm: 1: Select a starting point. 2: Move to the nearest…

Q: 2. Find the shortest route from 1 to 7 using the Dijkstra's algorithm. Show all the required steps…

A: As instructed in the question, we shall find the shortest path from 1 to 7 using the Dijkstra's…

Q: Refer to Figure 1. Using Floyd Warshall Algorithm, display the initial distance matrix and…

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Q: 2. Explain the Kruskal's shortest spanning tree algorithm with a suitable example by taking a graph…

A: Minimum Spanning TreeA spanning tree of this graph is a subgraph which, given a connected and…

Q: 2. Use Euclid's algorithm to find gcd(40, 142). Hence find Icm(40, 142). [Show your working.]

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Q: )This problem will explore how different algorithms play out with the same weighted graph. a) Use…

A: Nearest Neighbor algorithm: 1. Select a starting point 2. Move to the nearest unvisited vertex using…

Q: Use the Nearest Neighbor Algorithm to find a Hamilton circuit beginning (and ending)in Washington,…

A: Given: To do: Use the Nearest Neighbor Algorithm to find a Hamiltonian circuit beginning and ending…

Q: Based on the given weighted graph, 3 D the total weight of the Hamiltonian circuit according to…

A: Given the weighted graph     Find the total weight of the Hamiltonian circuit according to Edge…

Q: How many unique (excluding reverse) Hamiltonian circuits are possible? Apply the Brute Force…

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Q: 2. 16, 10 19- A B 21 24 Apply the nearest neighbor algorithm to the graph above starting at vertex…

A: In the graphical representation of Travelling Salesman Problem vertices corresponds to the cities…

Q: How many unique (excluding reverse) Hamiltonian circuits are possible? Apply the Brute Force…

A: 1. How many unique (excluding reverse) Hamiltonian circuits are possible?   2. Apply the Brute Force…

Q: 3. For the graph shown above, use Prim's algorithm using vertex B as a starting point.

A: Given: A graph To find: 3) Minimum spanning tree starting from vertex B using Prim's algorithm.

Q: Labeled graph #1 B E D 3 L K

A: Assign every node buy a tentative distance value: set the initial node to 0 and to all other nodes…

Q: Find the shortest path from vertex ‘a’ to ‘z’ by Dijkstra’s algorithm for the weighted graph

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Q: Determine that there is no Eular circuit and path in the graph given on the right. Then find it…

A: We know by Euler's theorem: A connected graph has an Euler cycle if and only if every vertex has…

Q: In trying use the Sieve of Eratosthenes find all prime numbers less than 300, when do we stop the…

A: Sieve of Eratosthenes is a simple, ancient algorithm for finding all prime numbers up to any given…

Q: Evaluate the advantage and disadvantage of k-NN Algorithm

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Q: 18. In a complete graph with 10 vertices, how many Hamilton circuits would be found when applying…

A: The solution is given by using the total number of Hamiltonian circuits in the complete graph with n…

Q: 7. What does it mean when we say that an algorithm X is asymptotically more efficient than Y?

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Q: The shortest distance from A to C is calculated using the Dijkstra's algorithm as 12. If the welght:…

A: If weight is increased by 1 then shortest distance will increase by 2.

Q: 1. Use the Greedy Algorithm to find a Hamiltonian circuit starting at vertex D in the weighted graph…

A: Greedy algorithm is a method used to find a Hamiltonian circuit in a weighted graph. The Greedy…

Q: 4. For this problem, you may leave your answers unreduced. (a) In how many ways can the letters in…

A: Given: This problem has to be permutation . The given word is ALGORITHM

Q: Explain the step by step procedure of Dijktra’s algorithm to find the shortest path between any two…

A: We use Dijkstra's Algorithm to find the shortest path between a given node (which is called the…

Q: OUse the Euclidean algorithm to fine

A: According to Bartleby Guideline, " Handwritten solutions are not provided" (a) Given,…

Q: Prove that the Voronoi cells induced by the single-nearest neighbor algorithm must always be convex.…

A: Given: Two points x1 and x2 in a cell, all points on the line linking x1 and x2 must also lie in a…

Q: 6. 14, 13 A В D Apply the repeated nearest neighbor algorithm to the graph above. Give your answer…

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Q: 2. Use Dijkstra's algorithm to find the shortest path from vertex, (a) 'A' to 'L', (b) 'A' to 'G' of…

A: We are asked to find the shortest path between two given vertices using Dijkstra's algorithm. (a)…

Q: 3. Construct an example of a graph on n vertices such that running this algorithm on the vertices in…

A: Given: G = V , E is an undirected graph. An independent subset is a subset I ⊂V such that for any…

Q: Digitize the line with endpoints (30,20) and (40,28) using Bresenham’s line-drawing algorithm and…

A: Let A=(x1,y1)=(30,20)and B=(x2,y2)=(40,28)△x=x2-x1=10,△y=y2-y1=8Decision…

Q: Given a graph G = (V,E) find the minimum number of edges that will cover every vertex (Edge Cover).…

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Q: Refer to the accompanying graph. Complete parts (a) through (c) in order. (a) Use the nearest…

A: Solution:

Q: 9. For the question use Fluery's Algorithm. Go to the slide 18 -21 in the PowerPoint of the Sec 14.2…

A: Given graph is Let xy denotes the edge between vertex x & y.