Question: An Euler Tour of a connected1 directed graph G(V, E) is a cycle that traverses each edge of G exactly once although it may visit

An Euler Tour of a connected1 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.(Hint:Merge edge-disjoint cycles.)

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