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Uniformly increasing Hypergraphs: On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs - Tapa blanda

Anwar, Imran; Inam, Amina

 
9783846534212: Uniformly increasing Hypergraphs: On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs
Tapa blanda
ISBN 10: 3846534218 ISBN 13: 9783846534212
Editorial: LAP LAMBERT Academic Publishing, 2011

Sinopsis

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.

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Reseña del editor

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.

Biografía del autor

Dr. Imran Anwar:He is working as an Asst. Professor in the department of Mathematics COMSATS Institute of Information Technology, Lahore-Pakistan. His area of interest is combinatorial aspects of Commutative Algebra.Amina Inam:She has done her MS thesis under the supervision of Dr. Imran Anwar on the uniformly increasing hypergraphs.

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Editorial
LAP LAMBERT Academic Publishing
Año de publicación
2011
Idioma
Inglés
ISBN 10 
3846534218
ISBN 13 
9783846534212
Encuadernación
Tapa blanda
Número de páginas
88
Contacto del fabricante
no disponible
Persona responsable
no disponible