For forests, the localized v-number of a Lovasz-Saks-Schrijver ideal equals the number of vertices of degree at least d, and analogous combinatorial formulas hold for parity binomial edge ideals.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.AC 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
$\mathrm{v}$-number of Lov\'asz-Saks-Schrijver Ideals and (parity) binomial edge ideals of graphs
For forests, the localized v-number of a Lovasz-Saks-Schrijver ideal equals the number of vertices of degree at least d, and analogous combinatorial formulas hold for parity binomial edge ideals.