Sania Asif

Dominating Vertex Extensions and Higher Homological Shift Ideals of Edge Ideals

Let G be a finite simple graph, let I(G) denote its edge ideal, and let m be the homogeneous maximal ideal of the corresponding polynomial ring. We introduce the notion of shadow-compatible regular powers: for every p,q≥0 with p+q>0, the mixed ideal mpI(G)q admits a linear-quotient order with a regular decomposition fu...