Powers of edge ideals

Powers of edge ideals

We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d−path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a class of non–squarefree ideals, arising from...

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Bibliographic Details
Main Authors: Carmela Ferrò, Mariella Murgia, Oana Stefania Olteanu
Format: Article
Language:English
Published: Università degli Studi di Catania 2012-05-01
Series:Le Matematiche
Subjects:
Betti number
Associated prime ideal
Edge ideal
Normally torsion-free
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/948
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spelling doaj-fa11f9e0ceb94022a016fb07c1a097f02020-11-25T03:37:37ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982012-05-01671129144818Powers of edge idealsCarmela FerròMariella MurgiaOana Stefania OlteanuWe compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d−path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a class of non–squarefree ideals, arising from some particular graphs, which are normally torsion–free.<br /><br />http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/948Betti numberAssociated prime idealEdge idealNormally torsion-free
collection DOAJ
language English
format Article
sources DOAJ
author Carmela Ferrò
Mariella Murgia
Oana Stefania Olteanu
spellingShingle Carmela Ferrò
Mariella Murgia
Oana Stefania Olteanu
Powers of edge ideals
Le Matematiche
Betti number
Associated prime ideal
Edge ideal
Normally torsion-free
author_facet Carmela Ferrò
Mariella Murgia
Oana Stefania Olteanu
author_sort Carmela Ferrò
title Powers of edge ideals
title_short Powers of edge ideals
title_full Powers of edge ideals
title_fullStr Powers of edge ideals
title_full_unstemmed Powers of edge ideals
title_sort powers of edge ideals
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2012-05-01
description We compute the Betti numbers for all the powers of initial and final lexsegment edge ideals. For the powers of the edge ideal of an anti–d−path, we prove that they have linear quotients and we characterize the normally torsion–free ideals. We determine a class of non–squarefree ideals, arising from some particular graphs, which are normally torsion–free.<br /><br />
topic Betti number
Associated prime ideal
Edge ideal
Normally torsion-free
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/948
work_keys_str_mv AT carmelaferro powersofedgeideals
AT mariellamurgia powersofedgeideals
AT oanastefaniaolteanu powersofedgeideals
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