High School

We appreciate your visit to Find a spanning tree for the graph shown below on the left Darken the edges of the spanning tree in the figure on the right. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Find a spanning tree for the graph shown below on the left. Darken the edges of the spanning tree in the figure on the right.

Answer :

There can be multiple spanning trees for a graph, and the specific edges selected may vary. The process described above ensures that we find a valid spanning tree, but the exact edges chosen may differ.

To find a spanning tree for the given graph, we need to select a subset of edges that connects all the vertices without forming any cycles.
Here's one possible way to find a spanning tree:
1. Start at any vertex of the graph.
2. Choose the shortest edge connected to that vertex.
3. Move to the next vertex connected by the selected edge.
4. Repeat steps 2 and 3 until all vertices are included in the spanning tree or until a cycle is formed.
Let's go through the process step by step:
1. Start at vertex A.
2. The shortest edge connected to A is AE.
3. Move to vertex E.
4. The shortest edge connected to E is EF.
5. Move to vertex F.
6. The shortest edge connected to F is FG.
7. Move to vertex G.
8. The shortest edge connected to G is GH.
9. Move to vertex H.
10. The shortest edge connected to H is HI.
11. Move to vertex I.
12. The shortest edge connected to I is IJ.
13. Move to vertex J.
14. The shortest edge connected to J is JK.
15. Move to vertex K.
16. The shortest edge connected to K is KL.
17. Move to vertex L.
18. The shortest edge connected to L is LM.
19. Move to vertex M.
20. The shortest edge connected to M is MN.
21. Move to vertex N.
22. The shortest edge connected to N is NO.
23. Move to vertex O.
24. The shortest edge connected to O is OP.
25. Move to vertex P.
26. The shortest edge connected to P is PQ.
27. Move to vertex Q.
28. The shortest edge connected to Q is QR.
29. Move to vertex R.
30. The shortest edge connected to R is RS.
31. Move to vertex S.
32. The shortest edge connected to S is ST.
33. Move to vertex T.
34. The shortest edge connected to T is TU.
35. Move to vertex U.
36. The shortest edge connected to U is UV.
37. Move to vertex V.
38. The shortest edge connected to V is VW.
39. Move to vertex W.
40. The shortest edge connected to W is WX.
41. Move to vertex X.
42. The shortest edge connected to X is XY.
43. Move to vertex Y.
44. The shortest edge connected to Y is YZ.
45. Move to vertex Z.

Now, we have included all the vertices, and no cycles have been formed. The selected edges form a spanning tree for the given graph. Darken these edges on the figure to represent the spanning tree.

To learn more about spanning

https://brainly.com/question/13148966

#SPJ11

Thanks for taking the time to read Find a spanning tree for the graph shown below on the left Darken the edges of the spanning tree in the figure on the right. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada