Circuit Admissible Triangulations Of Oriented Matroids

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Triangulations Of Oriented Matroids

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Author : Francisco Santos
language : en
Publisher: American Mathematical Soc.
Release Date : 2002

Triangulations Of Oriented Matroids written by Francisco Santos and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

We consider the concept of triangulation of an oriented matroid. We provide a definition which generalizes the previous ones by Billera-Munson and by Anderson and which specializes to the usual notion of triangulation (or simplicial fan) in the realizable case. Then we study the relation existing between triangulations of an oriented matroid $\mathcal{M}$ and extensions of its dual $\mathcal{M}^*$, via the so-called lifting triangulations. We show that this duality behaves particularly well in the class of Lawrence matroid polytopes. In particular, that the extension space conjecture for realizable oriented matroids is equivalent to the restriction to Lawrence polytopes of the Generalized Baues problem for subdivisions of polytopes. We finish by showing examples and a characterization of lifting triangulations.

Circuit Admissible Triangulations Of Oriented Matroids

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Author : Jörg Rambau
language : en
Publisher:
Release Date : 2000

Circuit Admissible Triangulations Of Oriented Matroids written by Jörg Rambau and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Matroids categories.

Abstract: "All triangulations of euclidean oriented matroids are of the same PL-homeomorphism type by a result of Anderson. That means all triangulations of euclidean acyclic oriented matroids are PL-homeomorphic to PL-balls and that all triangulations of totally cyclic oriented matroids are PL-homeomorphic to PL-spheres. For non-euclidean oriented matroids this question is wide open. One key point in the proof of Anderson is the following fact: for every triangulation of a euclidean oriented matroid the adjacency graph of the set of all simplices 'intersecting' a segment [p-p+] is a path. We call this graph the [p-p+]-adjacency graph of the triangulation. While we cannot solve the problem of the topological type of triangulations of general oriented matroids we show in this note that for every circuit admissible triangulation of an arbitrary oriented matroid the [p-p+] adjacency graph is path."

Computational Oriented Matroids

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Author : Jürgen Bokowski
language : en
Publisher: Cambridge University Press
Release Date : 2006-05-08

Computational Oriented Matroids written by Jürgen Bokowski and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-08 with Computers categories.

Oriented matroids play the role of matrices in discrete geometry, when metrical properties, such as angles or distances, are neither required nor available. Thus they are of great use in such areas as graph theory, combinatorial optimization and convex geometry. The variety of applications corresponds to the variety of ways they can be defined. Each of these definitions corresponds to a differing data structure for an oriented matroid, and handling them requires computational support, best realised through a functional language. Haskell is used here, and, for the benefit of readers, the book includes a primer on it. The combination of concrete applications and computation, the profusion of illustrations, many in colour, and the large number of examples and exercises make this an ideal introductory text on the subject. It will also be valuable for self-study for mathematicians and computer scientists working in discrete and computational geometry.

Abstracts Of Papers Presented To The American Mathematical Society

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Author : American Mathematical Society
language : en
Publisher:
Release Date : 2000

Abstracts Of Papers Presented To The American Mathematical Society written by American Mathematical Society and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Mathematics categories.

Mathematical Reviews

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Author :
language : en
Publisher:
Release Date : 2002

Mathematical Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.

Mathematical Software Icms 2006

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Author : Andres Iglesias
language : en
Publisher: Springer
Release Date : 2006-08-31

Mathematical Software Icms 2006 written by Andres Iglesias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-31 with Computers categories.

This book constitutes the refereed proceedings of the Second International Congress on Mathematical Software, ICMS 2006. The book presents 45 revised full papers, carefully reviewed and selected for presentation. The papers are organized in topical sections on new developments in computer algebra packages, interfacing computer algebra in mathematical visualization, software for algebraic geometry and related topics, number-theoretical software, methods in computational number theory, free software for computer algebra, and general issues.

Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo

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Author :
language : en
Publisher:
Release Date : 1994

Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo

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Author : Circolo matematico di Palermo
language : en
Publisher:
Release Date : 1994

Supplemento Ai Rendiconti Del Circolo Matematico Di Palermo written by Circolo matematico di Palermo and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen

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Author :
language : de
Publisher:
Release Date : 2001

Deutsche Nationalbibliographie Und Bibliographie Der Im Ausland Erschienenen Deutschsprachigen Ver Ffentlichungen written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Europe, German-speaking categories.

Graph Theory With Applications

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Author : John Adrian Bondy
language : en
Publisher: London : Macmillan Press
Release Date : 1976

Graph Theory With Applications written by John Adrian Bondy and has been published by London : Macmillan Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.