Extremal Betti numbers of some Cohen-Macaulay binomial edge ideals
Carla Mascia, Giancarlo Rinaldo
TL;DR
This paper investigates the algebraic invariants of Cohen-Macaulay binomial edge ideals, focusing on extremal Betti numbers, regularity, and Hilbert series for specific classes like bipartite and fan graphs.
Contribution
It provides explicit calculations of extremal Betti numbers, regularity, and Hilbert-Poincaré series for Cohen-Macaulay binomial edge ideals of certain graph classes.
Findings
Computed extremal Betti numbers for Cohen-Macaulay bipartite and fan graphs.
Determined regularity and Cohen-Macaulay type for binomial edge ideals of Cohen-Macaulay cones.
Calculated Hilbert-Poincaré series for specific Cohen-Macaulay bipartite graphs.
Abstract
We provide the regularity and the Cohen-Macaulay type of binomial edge ideals of Cohen-Macaulay cones, and we show the extremal Betti numbers of some classes of Cohen-Macaulay binomial edge ideals: Cohen-Macaulay bipartite and fan graphs. In addition, we compute the Hilbert-Poincar\'e series of the binomial edge ideals of some Cohen-Macaulay bipartite graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.