Twist polynomials of binary delta-matroids are always even, odd, or both even- and odd-interpolating, implying the same for partial-dual polynomials of ribbon graphs.
Ellis-Monaghan, I
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Twist polynomial interpolation for binary delta-matroids
Twist polynomials of binary delta-matroids are always even, odd, or both even- and odd-interpolating, implying the same for partial-dual polynomials of ribbon graphs.