Questions: Use Fleury's Algorithm to find an Euler path. Write an Euler path starting at A .

Transcript text: Use Fleury's Algorithm to find an Euler path. Write an Euler path starting at A .

Solution

Solution Steps

Step 1: Check for Euler Path/Circuit

An Euler path exists if the graph has exactly two vertices with odd degree. Vertices E and A have odd degree (3 and 1 respectively). All other vertices have even degree. Therefore, an Euler path exists.

Step 2: Apply Fleury's Algorithm starting at A

Beginning at vertex A, we can only move to B. From B, we have three choices: D, E, or C. We choose D, avoiding cutting off the rest of the graph from our current position. Our path so far: A, B, D.

Step 3: Continue Fleury's Algorithm

From D we go to E. Then from E to B. From B we go to C. From C, we go to F. From F we go to E. Then from E to C. Our final path is A, B, D, E, B, C, F, E, C.

Final Answer

A, B, D, E, B, C, F, E, C

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