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Editorial Team
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Editorial Team
Asked: June 12, 20262026-06-12T17:35:31+00:00 2026-06-12T17:35:31+00:00

How can I decompose a tree into forest such that each tree contains even

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How can I decompose a tree into forest such that each tree contains even number of vertices? Does i need to decompose tree randomly and check for every forest? I have already created adjacency matrix but doesn’t helping me anyhow!

What should be the correct way to achieve the same?

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  1. Editorial Team
    Editorial Team
    2026-06-12T17:35:32+00:00Added an answer on June 12, 2026 at 5:35 pm

    The problem as stated is trivial. Just return the tree.

    In order for every tree in a forest to contain an even number of vertices, the total vertices in the forest must be even. Which implies the number of vertices in the original tree is even. Since a tree is a forest, simply returning the tree is a valid solution.

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