Formulas are given for the v-number of generalized binomial edge ideals J_{K_m,G} of graphs, with the v-number of J_{K_2,G}^k shown to be linear in k when G is Cohen-Macaulay.
Saha,Thev-number and Castelnuovo–Mumford regularity of cover ideals of graphs, Int
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The $v$-number of generalized binomial edge ideals of some graphs
Formulas are given for the v-number of generalized binomial edge ideals J_{K_m,G} of graphs, with the v-number of J_{K_2,G}^k shown to be linear in k when G is Cohen-Macaulay.