Eulerian Circuit
1 problems · 0 with full explanations
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An Eulerian circuit visits every edge exactly once. It exists in a directed graph iff every node has equal in-degree and out-degree, and the graph is connected. Hierholzer's algorithm finds it in O(E). Applications: DNA assembly and route planning.
How to practice
To practice Eulerian Circuit problems effectively, start with the Easy problems listed below, trace through each solution on paper, then re-implement without looking. When you can recognise the eulerian circuit pattern within 30 seconds of reading a new problem, move on to Medium difficulty. Use the related topic pages and our study guide for a structured progression.