Imran Anwar, Amina Inam

Uniformly increasing Hypergraphs

On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Aufl.
• Seitenzahl: 88
• Erscheinungstermin: 19. Oktober 2011
• Englisch
• Abmessung: 220mm x 150mm x 6mm
• Gewicht: 149g
• ISBN-13: 9783846534212
• ISBN-10: 3846534218
• Artikelnr.: 34377402

Autorenporträt

First author is working as an Asst. Professor of Mathematics and the Second author is Head of the department and Professor of Mathematics in COMSATS Institute of Information Technology, Lahore, Pakistan. Third author is an MS from COMSATS Institute of Information Technology, Lahore, Pakistan.