The v-number of edge ideals

Journal of Combinatorial Theory, Series A（2021）

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摘要

The aim of this work is to study the v-number of edge ideals of clutters. We relate the v-number with the regularity of edge ideals and classify W2 graphs. If the edge ideal of a graph has second symbolic power Cohen–Macaulay, we show that the graph is edge-critical.

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关键词

v-number,Edge-critical graphs,Edge ideals,Regularity,W2 graphs,Symbolic powers,Cohen–Macaulay ideals

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