Question: An Euler tour of a connected, directed graph G = (V, E) is a cycle that traverses each edge of G exactly once, although it

An Euler tour of a connected, directed graph G = (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 (v) = out-degree (v) for each vertex v ¬⁪ V.
b. Describe an O (E)-time algorithm to find an Euler tour of G if one exists.

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a An Euler tour is a single cycle that traverses each edge of G exactly once but it might not be a simple cycle An Euler tour can be decomposed into a set of edgedisjoint simple cycles however If G ha... View full answer

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