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We classify all unicycle graphs whose edge-binomials form a d-sequence, particularly linear type binomial edge ideals. We also classify unicycle graphs whose parity edge-binomials form a d-sequence. We study the regularity of powers of (parity) binomial edge ideals of unicycle graphs generated by d-sequence (parity) edge-binomials.
Journal | Mathematics > Commutative Algebra |
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Open Access | No |