Minimally unsatisfiable 2-CNFs correspond to weak double cycles having at most one skew-symmetry, giving quadratic-time isomorphism and Theta(n^{3k-1}) types for deficiency k.
Gross and Jay Yellen, editors
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The classification of minimally unsatisfiable 2-CNFs -- a fundamental study
Minimally unsatisfiable 2-CNFs correspond to weak double cycles having at most one skew-symmetry, giving quadratic-time isomorphism and Theta(n^{3k-1}) types for deficiency k.