3 papers
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.CO2024
On the Lucky and Displacement Statistics of Stirling Permutations
Laura Colmenarejo, Aleyah Dawkins, Jennifer Elder +5
Stirling permutations are parking functions, and we investigate two parking function statistics in the context of these objects: lucky cars and displacement. Among our results, we…