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math.AC2024
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…
math.AC2024
Degree of -polynomials of edge ideals
Jennifer Biermann, Selvi Kara, Augustine O'Keefe +2
In this paper, we investigate the degree of -polynomials of edge ideals of finite simple graphs. In particular, we provide combinatorial formulas for the degree of the -polyn…
math.AC2024
Minimal Cellular Resolutions of Path Ideals
Trung Chau, Selvi Kara, Kyle Wang
In this paper, we prove that the path ideals of both paths and cycles have minimal cellular resolutions. Specifically, these minimal free resolutions coincide with the Barile-Macch…