Let G be a chordal graph and I (G) its edge ideal. Let β (I (G)) = (β0, β1, ..., βp) denote the Betti sequence of I (G), where βi stands for the ith total Betti number of I (G) and where p is the projective dimension of I (G). It will be shown that there exists a simplicial complex Δ of dimension p whose f-vector f (Δ) = (f0, f1, ..., fp) coincides with β (I (G)).
ASJC Scopus subject areas
- Algebra and Number Theory