9. Graphs Connected

# 9. Graphs Connected - 11 MATH 224 – Discrete Mathematics...

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Unformatted text preview: 8/27/09 11 8/27/09 MATH 224 – Discrete Mathematics 1 2 3 4 5 6 1 1 1 1 1 2 1 3 1 4 1 1 1 5 1 1 1 1 6 1 First we determine if a graph is connected using a breadth first algorithm. Start with a row and find all nodes connected by one edge. Then determine all nodes connected to those nodes and so on until we cover all edges or have exhausted all options. Determining if a Graphs is Connected-1-1-1-1-1-1 index 1 2 3 4 5 6 starting with node 1 8/27/09 22 8/27/09 MATH 224 – Discrete Mathematics 1 2 3 4 5 6 1 1 1 1 1 2 1 3 1 4 1 1 1 5 1 1 1 1 6 1 Determining if a Graphs is Connected 1-1-1 1 2-1 index 1 2 3 4 5 6 starting with node 1− then to node 0 and 4 − adding node 5 from 0 8/27/09 33 8/27/09 MATH 224 – Discrete Mathematics 1 2 3 4 5 6 1 1 1 1 1 2 1 3 1 4 1 1 1 5 1 1 1 1 6 1 Determining if a Graphs is Connected 1-1 2 1 2-1 index 1 2 3 4 5 6 starting with node 1− then to node 0 and 4 − adding node 5 from 0 − adding 3 from 4 8/27/09 44 8/27/09 MATH 224 – Discrete Mathematics 1 2 3 4 5 6 1 1 1 1 1 2 1 3 1 4 1 1 1 5 1 1 1 1 6 1 Determining if a Graphs is Connected...
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9. Graphs Connected - 11 MATH 224 – Discrete Mathematics...

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