Regularity and h-polynomials of toric ideals of graphs

For all integers \(4 \leq r \leq d\), we show that there exists a finite simple graph \(G= G_{r,d}\) with toric ideal \(I_G \subset R\) such that \(R/I_G\) has (Castelnuovo-Mumford) regularity \(r\) and \(h\)-polynomial of degree \(d\). To achieve this goal, we identify a family of graphs such that...

Ausführliche Beschreibung

Bibliographische Detailangaben

Veröffentlicht in:	arXiv.org 2020-03
Hauptverfasser:	Favacchio, Giuseppe, Keiper, Graham, Adam Van Tuyl
Format:	Artikel
Sprache:	eng
Schlagworte:	Graphs Polynomials Quotients Regularity
Online-Zugang:	Volltext
Tags:	Tag hinzufügen Keine Tags, Fügen Sie den ersten Tag hinzu!