A polynomial-time customizable algorithm with empirically low error rates is proposed for testing potential bipartiteness of degree sequences, but without a proof of completeness.
Chromatic number and complete graph substructures for degree sequences
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An Efficient Algorithm to Test Potentially Bipartiteness of Graphical Degree Sequences
A polynomial-time customizable algorithm with empirically low error rates is proposed for testing potential bipartiteness of degree sequences, but without a proof of completeness.