Spanning Tree.

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Presentation transcript:

Spanning Tree

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

Start here 1 3 2 4 5

Kruskal’s Minimum Spanning Tree

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.

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

Prim’s Minimum Spanning Tree

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.

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

Now do Page 268 1-6, 11- 15, 18, 19