Question

(b) Using Fleury’s algorithm, find an Eulerian circuit in the following graph.

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29 Apr 2025
Answer :
Word Count : 433
To use **Fleury’s algorithm** to find an Eulerian circuit, let's first check if the graph is Eulerian and then walk through the process step by step. *** ## Step 1: Check Eulerian Graph Criteria A graph has an **Eulerian circuit** if: - The graph is connected. - Every vertex has an **even degree**. **Degrees in the given graph:** - $$v_1$$: 2 (edges to $$v_2$$, $$v_4$$) - $$v_2$$: 4 (edges to $$v_1$$, $$v_3$$, $$v_5$$, $$v_6$$) - $$v_3$$: 4 (edges to $$v_2$$, $$v_4$$, $$v_5$$, $$v_6$$) - $$v_4$$: 2 (edges to $$v_1$$, $$v_3$$) - $$v_5$$: 2 (edges to $$v_2$$, $$v_3$$) - $$v_6$$: 2 (edges to $$v_2$$, $$v_3$$) All vertices have even _________ __________ _________ ________ ______ ________ ______ ______ ______ ________.
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