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What proof methods isare used in the proof of

Question 1. What is χ' (K₅₇₈₃₄₉)?

2. What is the shortest length a cycle can be in a bipartite graph?

3. What is χ' (K_42,87)?

4. What proof method(s) is/are used in the proof of Theorem?

Theorem: A graph G is bipartite if and only it is 2-vertex colorable.

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Mathematics: What proof methods isare used in the proof of

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