On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph

On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph

<p>In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the semigroup ring associated to the set of minimal vertex covers of an unmixed bipartite graph. In this paper we relate the dimension of this semigroup ring to the rank of the Boolean lattice associated to the graph.</p&...

Full description

Bibliographic Details
Main Authors: Cristina Bertone, Vincenzo Micale
Format: Article
Language:English
Published: Università degli Studi di Catania 2008-11-01
Series:Le Matematiche
Subjects:
Unmixed graph
bipartite graph
vertex cover algebra
Online Access:http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/71
id doaj-74fff24aef0443c8927ef45be60e3aaa
record_format Article
spelling doaj-74fff24aef0443c8927ef45be60e3aaa2020-11-25T03:20:43ZengUniversità degli Studi di CataniaLe Matematiche0373-35052037-52982008-11-0163215716366On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graphCristina Bertone0Vincenzo Micale1Università di TorinoUniversità di Catania<p>In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the semigroup ring associated to the set of minimal vertex covers of an unmixed bipartite graph. In this paper we relate the dimension of this semigroup ring to the rank of the Boolean lattice associated to the graph.</p>http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/71Unmixed graphbipartite graphvertex cover algebra
collection DOAJ
language English
format Article
sources DOAJ
author Cristina Bertone
Vincenzo Micale
spellingShingle Cristina Bertone
Vincenzo Micale
On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
Le Matematiche
Unmixed graph
bipartite graph
vertex cover algebra
author_facet Cristina Bertone
Vincenzo Micale
author_sort Cristina Bertone
title On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
title_short On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
title_full On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
title_fullStr On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
title_full_unstemmed On the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
title_sort on the dimension of the minimal vertex cover semigroup ring of an unmixed bipartite graph
publisher Università degli Studi di Catania
series Le Matematiche
issn 0373-3505
2037-5298
publishDate 2008-11-01
description <p>In a paper in 2008, Herzog, Hibi and Ohsugi introduced and studied the semigroup ring associated to the set of minimal vertex covers of an unmixed bipartite graph. In this paper we relate the dimension of this semigroup ring to the rank of the Boolean lattice associated to the graph.</p>
topic Unmixed graph
bipartite graph
vertex cover algebra
url http://www.dmi.unict.it/ojs/index.php/lematematiche/article/view/71
work_keys_str_mv AT cristinabertone onthedimensionoftheminimalvertexcoversemigroupringofanunmixedbipartitegraph
AT vincenzomicale onthedimensionoftheminimalvertexcoversemigroupringofanunmixedbipartitegraph
_version_ 1724617050118160384

Similar Items