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Spanning Tree.

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Presentation on theme: "Spanning Tree."— Presentation transcript:

1 Spanning Tree

2 How to make a spanning tree
Start by labeling the starting point with a 0 and darkening it in. Every point that is adjacent to this darkened in point label with a 1. Darken the edge that connects a 0 with a 1. Make sure not to make a cycle. Repeat these steps increasing the counter by 1 each time. Be carful to not make cycles

3 Start here 1 3 2 4 5

4 Kruskal’s Minimum Spanning Tree

5 To Do Kruskal Darken in the smallest edge and its points. Brake ties arbitrarily. Continue darkening the smallest value making sure not to form a cycle. When you have a connected graph and all the points darkened in you are done.

6 4 3 9 15 5 10 4 6 11 8 8 6 19 4 5 12 9 12 11 10 3

7 Prim’s Minimum Spanning Tree

8 To do Prim Darken in the smallest edge and its points
From now on darken in the smallest edge that connect a darkened in point to a non-darkened in point.(The edges are always adjacent to each other) When all the points are darkened in you are done.

9 4 3 9 15 5 10 4 6 11 8 8 6 19 4 5 12 9 12 11 10 3

10 Now do Page , , 18, 19


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