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math.AC2026
Edge ideals of gapfree graphs with matching number
Nursel Erey, Tài Huy Hà, Takayuki Hibi +2
We prove that if is a gapfree graph with matching number , then every power , , of its edge ideal has linear quotients, and hence a linear resolution. Our ap…
math.AC2026
Symbolic powers and integral closures via extremal ideals
Trung Chau, Art Duval, Sara Faridi +3
This paper demonstrates that extremal ideals can be used to great effect to compute integral closures of powers and symbolic powers of square-free monomial ideals. We show that the…