**Problem:**Use the nearest-neighbor algorithm starting with vertex C to find a Hamilton circuit.**Diagram Explanation:**The diagram is a weighted graph consisting of four vertices: A, B, C, and D. They are connected by edges, each with an assigned weight representing the distance or cost between vertices:- The edge between A and B has a weight of 9.- The edge between A and C has a weight of 4.- The edge between A and D has a weight of 5.- The edge between B and C has a weight of 2.- The edge between B and D has a weight of 8.- The edge between C and D has a weight of 1.The task is to apply the nearest-neighbor algorithm, starting at vertex C, to determine a Hamilton circuit that visits each vertex exactly once and returns to the starting vertex, C.**Nearest-Neighbor Algorithm Steps:**1. Start at vertex C.2. Select the edge with the smallest weight connected to C. This is the edge C-D with a weight of 1.3. Move to vertex D.4. From D, select the next smallest edge to an unvisited vertex. This is the edge D-A with a weight of 5.5. Move to vertex A.6. From A, select the next smallest edge to an unvisited vertex. This is the edge A-B with a weight of 9.7. Move to vertex B.8. Finally, return to the starting vertex C, through the edge B-C with a weight of 2.**Resulting Hamilton Circuit:**C → D → A → B → CThe total weight of this circuit is 1 + 5 + 9 + 2 = 17.

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Answered: 0) Use the nearest-neighbor algorithm…

Math

Advanced Math

0) Use the nearest-neighbor algorithm starting with vertex C to find a Hamilton circuit.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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