Euler tour An Euler tour of a strongly connected, directed

Chapter 22, Problem 22-3

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Euler tour An Euler tour of a strongly connected, directed graph G D .V; E/ is a cycle that traverses each edge of G exactly once, although it may visit a vertex more than once. a. Show that G has an Euler tour if and only if in-degree./ D out-degree./ for each vertex 2 V . b. Describe an O.E/-time algorithm to find an Euler tour of G if one exists. (Hint: Merge edge-disjoint cycles.)

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