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Induced Matchings and the v-Number of Graded Ideals

Induced Matchings and the v-Number of Graded Ideals

We give a formula for the v-number of a graded ideal that can be used to compute this number. Then, we show that for the edge ideal I(G) of a graph G, the induced matching number of G is an upper bound for the v-number of I(G) when G is …