Is it possible to split (each vertex should be exactly in one subgraph) a connected graph with 2n vertices into two induced subgraphs (each subgraph must have at least one vertex) so that the degree of each vertex of each subgraph becomes even?
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Prove or disprove!
Is it possible to split (each vertex should be exactly in one subgraph) a connected graph with 2n vertices into two induced subgraphs (each subgraph must have at least one vertex) so that the degree of each vertex of each subgraph becomes even?
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