Explicit linear quotient orderings exist for all powers of anticycle edge ideals and for powers of any quadratic monomial ideal with linear quotients.
A new proof of the Herzog-Hibi-Zheng theorem
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We give a new, elementary proof of the celebrated Herzog-Hibi-Zheng theorem on powers of quadratic monomial ideals.
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Powers of Edge Ideals with Linear Quotients
Explicit linear quotient orderings exist for all powers of anticycle edge ideals and for powers of any quadratic monomial ideal with linear quotients.