4 papers · 1 filter
Gapfree graphs and powers of edge ideals with linear quotients
Nursel Erey, Sara Faridi, Tài Huy Hà +3
Let be the edge ideal of a gapfree graph . An open conjecture of Nevo and Peeva states that has linear resolution for . We present a promising approach t…
Polarization and Gorenstein liaison
Sara Faridi, Patricia Klein, Jenna Rajchgot +1
A major open question in the theory of Gorenstein liaison is whether or not every arithmetically Cohen--Macaulay subscheme of can be G-linked to a complete intersect…
Counting lattice points that appear as algebraic invariants of Cameron-Walker graphs
Sara Faridi, Iresha Madduwe Hewalage
In 2021, Hibi et. al. studied lattice points in that appear as $(\depth R/I,\dim R/I)$ when is the edge ideal of a graph on vertices, and showed these points…
Scarf complexes of graphs and their powers
Sara Faridi, Tài Huy Hà, Takayuki Hibi +1
Every multigraded free resolution of a monomial ideal I contains the Scarf multidegrees of I. We say I has a Scarf resolution if the Scarf multidegrees are sufficient to describe a…