Articles liés à Uniformly increasing Hypergraphs: On the regularity...

Uniformly increasing Hypergraphs: On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs - Couverture souple

Anwar, Imran; Inam, Amina

 
9783846534212: Uniformly increasing Hypergraphs: On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs
Couverture souple
ISBN 10 : 3846534218 ISBN 13 : 9783846534212
Editeur : LAP LAMBERT Academic Publishing, 2011

Synopsis

The aim of this book is to give a description on the algebra associating to hypergraph, which is the generalized form of simple graphs and simplicial complexes. Algebraic study of combinatorial objects has been widely studied by different algebraist. Our main work in this regard is to associate an algebra to a special class of hypergraphs namely uniformly increasing hypergraphs H(X, E, d). This class of hypergraphs is important in one sense that they can neither be treated as simple graphs nor simplicial complexes. So, this work is the first stepping towards exploring the algebra associated to uniformly increasing hypergraphs H(X, E, d). In this book, we introduce inclusion ideals I(H) associated to the uniformly increasing hypergraphs H(X, E, d). We discuss some algebraic properties of the inclusion ideals. In particular, we give an upper bound of the Castlenouvo-Mumford regularity of the special dual ideal.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2011
Langue
anglais
ISBN 10 
3846534218
ISBN 13 
9783846534212
Reliure
Broché
Nombre de pages
88
Coordonnées du fabricant
non disponible
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