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math.AC2026
Combinatorial bounds for the v-number of binomial edge ideals
Emiliano Liwski
We study the local -numbers of binomial edge ideals from a combinatorial perspective. For each minimal prime of , indexed by a cutset …
math.AC2026
-number of Lovász-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
Manohar Kumar, Emiliano Liwski
In this paper, we introduce a new framework for computing certain localized -numbers of a class of ideals called coordinate-saturated ideals, which includes certain cla…
math.AC2025
The V-Number of Binomial Edge Ideals: Minimal Cuts and Cycle Graphs
Emiliano Liwski
The v-number of a graded ideal is an invariant recently introduced in the context of coding theory, particularly in the study of Reed--Muller-type codes. In this work, we study the…