Relation between regularity of powers of edge ideals and (im, reg)-invariant extension

Autor:	Kanno, Hiroju
Rok vydání:	2020
Předmět:	Mathematics - Commutative Algebra Mathematics - Combinatorics
Druh dokumentu:	Working Paper
Popis:	In this paper, we define (im, reg)-invariant extension of graphs and propose a new approach for Nevo and Peeva's conjecture which said that for any gap-free graph $G$ with $reg(I(G)) = 3$ and for any $k \geq 2$, $I(G)^k$ has a linear resolution. Moreover, we consider new conjectures related to the regularity of powers of edge ideals of gap-free graphs. Comment: 7 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2003.05419 Zobrazit plný text záznamu View this record from Arxiv