Uniformly Increasing Hypergraphs Regularity by Anwar Imran (3 results)

Taschenbuch. Condition: Neu. Uniformly increasing Hypergraphs | On the regularity of Inclusion Ideals associated to Uniformly increasing Hypergraphs | Imran Anwar (u. a.) | Taschenbuch | 88 S. | Englisch | 2011 | LAP LAMBERT Academic Publishing | EAN 9783846534212 | Verantwortliche Person für die EU: BoD - Books on Demand, In de Tarpen 42, 22848 Norderstedt, info[at]bod[dot]de | Anbieter: preigu.…

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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 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.…