Edge ideals whose all matching powers are bi-Cohen-Macaulay

2025/03/11 by Crupi, Marilena, Ficarra, Antonino · 1 citation
#Combinatorics (math.CO) #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2503.08521

Abstract

We classify all graphs G satisfying the property that all matching powers I(G)^[k] of the edge ideal I(G) are bi-Cohen-Macaulay for 1≤ k≤ν(G), where ν(G) is the maximum size of a matching of G.

Cited by

• Principal vector-spread Borel ideals

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