Prove the following: you can always find in a simple undirected graph of minimum degree two spanning edge disjoint subgraphs of minimum degree at least . Give also an algorithmic procedure to find such subgraphs.

Prove the following: you can always find in a simple undirected graph of minimum degree two spanning edge disjoint subgraphs of minimum degree at least . Give also an algorithmic procedure to find such subgraphs.

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