11. Given the following weighted graph, use the nearest neighbor algorithm to approximatean optimal Hamilton circuit starting at vertex 'A.5C1032)

The nearest neighbor algorithm (NNA) is a greedy algorithm. Following steps are followed to…

Answered: Given the following weighted graph, use…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

See similar textbooks

Similar questions

I need the answer as soon as possible
1. Use Dijkstra's algorithm to find the shortest path length between the vertices a and z in each of the following weighted graphs. (a) (b) 1 2 b 2 d 3 b 2 19 4 4 5 3 C 3 e 7 8 6 2 2. Use Huffman coding to encode these symbols with given frequen- cies: (a) a 0.35, b: 0.4, c: 0.2, d: 0.05. (b) a 0.15, b: 0.35, c: 0.23, d: 0.22, e: 0.04, f: 0.01.
3. Run both Kruskal and Prim's algorithms on the following weighted graph: 12 7 11 10 3 2 4 1 8 For Prim's algorithm, start at the top-left vertex marked in black. What's the weight of your minimum spanning tree? 1
The shortest distance from A to C is calculated using the Dijkstra's algorithm as 12. If the weight of all the edges is increased by 1 unit, then the shortest distance will be. 15 12 O 13 O 14 O 15 7.
2. Show that the graphs formed by deleting one edge from Kş and K33 are planar.
Choose the best
10. For the question use Nearest neighbor Algorithm. starting at vertices E, F, G and H. Give the circuit and the weight. Also, find the minimum Hamilton circuit from the table starting at G. E 10 10 10
9. For the question use Fluery's Algorithm. Go to the slide 18 -21 in the PowerPoint of the Sec 14.2 and follow similar steps with at least 4 figures to find your Euler Circuit. Start the Euler Circuit at B. E C. A
The table gives the weights of a weighted graph G on vertices U, V, W, X, Y, Z. All the edges appear in the table (so for instance VZ is not an edge in the graph). Edge Weight Edge Weight Edge Weight UX 1 UV 3 UW 5 VX 1 YZ 3 XY 6 WY 1 WX 4 XZ 8 VW 2 WZ 5 UZ 9 i. Use Dijkstra's algorithm to find a minimal path from U to Z. ii. We now consider an graph G' whose vertices and edges are the same as G, but which is not a weighted graph. Sketch a planar diagram of G'. iii. Is it possible to add a new edge to G' and maintain planarity? Justify your answer either with a planar diagram or a proof of non-planarity.
7. Use Dijkstra's Algorithm to find the lowest weighted path between vertices a and f for the graph D pictured below. (This is NOT the same weighted graph as in Question 6.) 4 IN 7 8. Find x(I) for the graph I pictured below. A
3. To defeat Electro, Spider-Man needs to connect all the pylons (vertices) in the graph below with his webbing to form an electric circuit, with the numbers representing the difficulty of making the connection. Show that the Nearest Neighbor algorithm will NOT work for Spidey for this given graph. Try at least two different starting points, one of which should be the top left corner. 3 11 3 12 5 2 9 14 1 8 7 10 9 0 13 16

Recommended textbooks for you

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Advanced Engineering Mathematics

Advanced Math

ISBN:

9780470458365

Author:

Erwin Kreyszig

Publisher:

Wiley, John & Sons, Incorporated

Numerical Methods for Engineers

Advanced Math

ISBN:

9780073397924

Author:

Steven C. Chapra Dr., Raymond P. Canale

Publisher:

McGraw-Hill Education

Introductory Mathematics for Engineering Applicat…

Advanced Math

ISBN:

9781118141809

Author:

Nathan Klingbeil

Publisher:

WILEY

Mathematics For Machine Technology

Advanced Math

ISBN:

9781337798310

Author:

Peterson, John.

Publisher:

Cengage Learning,

Basic Technical Mathematics

Advanced Math

ISBN:

9780134437705

Author:

Washington

Publisher:

PEARSON

Topology

Advanced Math

ISBN:

9780134689517

Author:

Munkres, James R.

Publisher:

Pearson,

SEE MORE TEXTBOOKS

Given the following weighted graph, use the nearest neighbor algorithm to approximate an optimal Hamilton circuit starting at vertex 'A". 5 C 10 D.