Question: Let G = ( V , E ) be a connected network such that | E | | V | . ( a ) Prove

Let G=(V,E) be a connected network such that |E||V|.
(a) Prove that it is possible to assign each vertex to an edge that touches it, such that each edge is assigned to at most one vertex.
(b) Prove that it is possible to assign each vertex to an edge that does not touch it, such that each edge is assigned to at most one vertex.
Let G = ( V , E ) be a connected network such

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