Geodesic
Regularity of Edge Ideals Via Suspension
Banerjee, Arindam1 ; Nevo, Eran2
1 Indian Institute of Technology, Kharagpur
2 Einstein Institute of Mathematics, The Hebrew University of Jerusalem.
Algebraic Combinatorics, Tome 6 (2023) no. 6, pp. 1687-1695

Voir la notice de l'article provenant de la source Numdam

We study the Castelnuovo–Mumford regularity of powers of edge ideals for arbitrary (finite simple) graphs. It has been repeatedly conjectured that for every graph G, reg(I(G) s )≤2s+regI(G)-2 for all s≥2, which is the best possible upper bound for any s. We prove this conjecture for every s for all bipartite graphs, and for s=2 for all graphs. The s=2 case is crucial for our work and suspension plays a key role in its proof.

Reçu le :
Révisé le :
Accepté le :
Publié le :
DOI : 10.5802/alco.317
Classification : 10X99, 14A12, 11L05
Keywords: Edge ideals, regularity, suspension

Banerjee, Arindam 1 ; Nevo, Eran 2

1 Indian Institute of Technology, Kharagpur
2 Einstein Institute of Mathematics, The Hebrew University of Jerusalem.
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
@article{ALCO_2023__6_6_1687_0,
     author = {Banerjee, Arindam and Nevo, Eran},
     title = {Regularity of {Edge} {Ideals} {Via} {Suspension}},
     journal = {Algebraic Combinatorics},
     pages = {1687--1695},
     publisher = {The Combinatorics Consortium},
     volume = {6},
     number = {6},
     year = {2023},
     doi = {10.5802/alco.317},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.5802/alco.317/}
}
TY  - JOUR
AU  - Banerjee, Arindam
AU  - Nevo, Eran
TI  - Regularity of Edge Ideals Via Suspension
JO  - Algebraic Combinatorics
PY  - 2023
SP  - 1687
EP  - 1695
VL  - 6
IS  - 6
PB  - The Combinatorics Consortium
UR  - http://geodesic.mathdoc.fr/articles/10.5802/alco.317/
DO  - 10.5802/alco.317
LA  - en
ID  - ALCO_2023__6_6_1687_0
ER  - 
%0 Journal Article
%A Banerjee, Arindam
%A Nevo, Eran
%T Regularity of Edge Ideals Via Suspension
%J Algebraic Combinatorics
%D 2023
%P 1687-1695
%V 6
%N 6
%I The Combinatorics Consortium
%U http://geodesic.mathdoc.fr/articles/10.5802/alco.317/
%R 10.5802/alco.317
%G en
%F ALCO_2023__6_6_1687_0
Banerjee, Arindam; Nevo, Eran. Regularity of Edge Ideals Via Suspension. Algebraic Combinatorics, Tome 6 (2023) no. 6, pp. 1687-1695. doi: 10.5802/alco.317

Cité par Sources :