Wang Yao

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math.AC2026

Defect Antichains and Multigraded Symbolic Defect Series of Edge Ideals under Graph Blow-ups

Tabinda Rasheed, Wang Yao

In this paper, we study symbolic defect functions of edge ideals through finite antichains of exponent vectors. Let $G$ be a finite simple graph and let $I (G)$ be its edge ideal. F…

math.AC2026

Edge Ideals of Prime Ideal Graphs over Finite Rings: Ordinary Powers, Fiber Cones, and Linear Powers

Tabinda Rasheed, Wang Yao

Let $R$ be a finite commutative ring with identity and let $P$ be a proper prime ideal of $R$ . The prime ideal graph $I^_{P} (R)$ has vertex set $R ∖ {0}$ , where two distinct…