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
