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Needed so we can produce a novel 2-coloring for the neighborhood of a vertex in a 3-colorable graph. Robustness is needed so we do not need to know anything a priori about the 2-colorability of a graph and can produce either a complete 2-coloring or a proof that the graph is not 2-colorable.
Maybe it would be cleaner to construct the witness (odd cycle) in the negative case but it would be more algorithmically involved.
The text was updated successfully, but these errors were encountered:
Needed so we can produce a novel 2-coloring for the neighborhood of a vertex in a 3-colorable graph. Robustness is needed so we do not need to know anything a priori about the 2-colorability of a graph and can produce either a complete 2-coloring or a proof that the graph is not 2-colorable.
Maybe it would be cleaner to construct the witness (odd cycle) in the negative case but it would be more algorithmically involved.
The text was updated successfully, but these errors were encountered: