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Author : Anna M. G. Brown
Publisher :
ISBN 13 :
Total Pages : 70 pages
Book Rating : 4.:/5 (223 download)
Download or read book Convexity in Tropical Oriented Matroids written by Anna M. G. Brown and published by . This book was released on 2007 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Bruno Benedetti
Publisher : Springer
ISBN 13 : 3319201557
Total Pages : 222 pages
Book Rating : 4.3/5 (192 download)
Download or read book Combinatorial Methods in Topology and Algebra written by Bruno Benedetti and published by Springer. This book was released on 2015-10-31 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics plays a prominent role in contemporary mathematics, due to the vibrant development it has experienced in the last two decades and its many interactions with other subjects. This book arises from the INdAM conference "CoMeTA 2013 - Combinatorial Methods in Topology and Algebra,'' which was held in Cortona in September 2013. The event brought together emerging and leading researchers at the crossroads of Combinatorics, Topology and Algebra, with a particular focus on new trends in subjects such as: hyperplane arrangements; discrete geometry and combinatorial topology; polytope theory and triangulations of manifolds; combinatorial algebraic geometry and commutative algebra; algebraic combinatorics; and combinatorial representation theory. The book is divided into two parts. The first expands on the topics discussed at the conference by providing additional background and explanations, while the second presents original contributions on new trends in the topics addressed by the conference.
Author : Jürgen Bokowski
Publisher : Cambridge University Press
ISBN 13 : 0521849306
Total Pages : 294 pages
Book Rating : 4.5/5 (218 download)
Download or read book Computational Oriented Matroids written by Jürgen Bokowski and published by Cambridge University Press. This book was released on 2006-05-08 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Michael Joswig
Publisher : American Mathematical Society
ISBN 13 : 1470466538
Total Pages : 398 pages
Book Rating : 4.4/5 (74 download)
Download or read book Essentials of Tropical Combinatorics written by Michael Joswig and published by American Mathematical Society. This book was released on 2021-12-08 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: The goal of this book is to explain, at the graduate student level, connections between tropical geometry and optimization. Building bridges between these two subject areas is fruitful in two ways. Through tropical geometry optimization algorithms become applicable to questions in algebraic geometry. Conversely, looking at topics in optimization through the tropical geometry lens adds an additional layer of structure. The author covers contemporary research topics that are relevant for applications such as phylogenetics, neural networks, combinatorial auctions, game theory, and computational complexity. This self-contained book grew out of several courses given at Technische Universität Berlin and elsewhere, and the main prerequisite for the reader is a basic knowledge in polytope theory. It contains a good number of exercises, many examples, beautiful figures, as well as explicit tools for computations using $texttt{polymake}$.
Author : Francisco Santos
Publisher : American Mathematical Soc.
ISBN 13 : 0821827693
Total Pages : 95 pages
Book Rating : 4.8/5 (218 download)
Download or read book Triangulations of Oriented Matroids written by Francisco Santos and published by American Mathematical Soc.. This book was released on 2002 with total page 95 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Kristen Freeman
Publisher :
ISBN 13 :
Total Pages : 66 pages
Book Rating : 4.:/5 (466 download)
Download or read book Tropical Oriented Matroids and Triangulations of Products of Simplices written by Kristen Freeman and published by . This book was released on 2009 with total page 66 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Silke Horn
Publisher :
ISBN 13 : 9783843906593
Total Pages : 189 pages
Book Rating : 4.9/5 (65 download)
Download or read book Tropical Oriented Matroids and Cubical Complexes written by Silke Horn and published by . This book was released on 2012 with total page 189 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Csaba D. Toth
Publisher : CRC Press
ISBN 13 : 1498711421
Total Pages : 1928 pages
Book Rating : 4.4/5 (987 download)
Download or read book Handbook of Discrete and Computational Geometry written by Csaba D. Toth and published by CRC Press. This book was released on 2017-11-22 with total page 1928 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in fields as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed significantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young field of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.
Author : Bernd Sturmfels
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (141 download)
Download or read book Oriented matroids and combinatorial convex geometry written by Bernd Sturmfels and published by . This book was released on 1987 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 : 9781139882804
Total Pages : 548 pages
Book Rating : 4.8/5 (828 download)
Download or read book Oriented Matroids written by and published by . This book was released on 1999 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: Oriented matroids are a very natural mathematical concept which presents itself in many different guises and which has connections and applications to many different areas. These include discrete and computational geometry, combinatorics, convexity, topology, algebraic geometry, operations research, computer science and theoretical chemistry. This is the second edition of the first comprehensive, accessible account of the subject. It is intended for a diverse audience: graduate students who wish to learn the subject from scratch; researchers in the various fields of application who want to concentrate on certain aspects of the theory; specialists who need a thorough reference work; and others at academic points in between. A list of exercises and open problems ends each chapter. For the second edition, the authors have expanded the bibliography greatly to ensure that it remains comprehensive and up-to-date, and they have also added an appendix surveying research since the work was first published.
Author : Jennifer McNulty
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.:/5 (32 download)
Download or read book Hyperplane Arrangements and Oriented Matroids written by Jennifer McNulty and published by . This book was released on 1993 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Alexandre V. Borovik
Publisher : Springer Science & Business Media
ISBN 13 : 9780817637644
Total Pages : 292 pages
Book Rating : 4.6/5 (376 download)
Download or read book Coxeter Matroids written by Alexandre V. Borovik and published by Springer Science & Business Media. This book was released on 2003-07-11 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: Matroids appear in diverse areas of mathematics, from combinatorics to algebraic topology and geometry, and "Coxeter Matroids" provides an intuitive and interdisciplinary treatment of their theory. In this text, matroids are examined in terms of symmetric and finite reflection groups; also, symplectic matroids and the more general coxeter matroids are carefully developed. The Gelfand-Serganova theorem, which allows for the geometric interpretation of matroids as convex polytopes with certain symmetry properties, is presented, and in the final chapter, matroid representations and combinatorial flag varieties are discussed. With its excellent bibliography and index and ample references to current research, this work will be useful for graduate students and research mathematicians.
Author : Guillermo Pineda Villavicencio
Publisher : Cambridge University Press
ISBN 13 : 1009257811
Total Pages : 481 pages
Book Rating : 4.0/5 (92 download)
Download or read book Polytopes and Graphs written by Guillermo Pineda Villavicencio and published by Cambridge University Press. This book was released on 2024-03-31 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to convex polytopes and their graphs, including both background material and cutting-edge research.
Author : Luis Felipe Tabera Alonso
Publisher : Ed. Universidad de Cantabria
ISBN 13 : 8419024031
Total Pages : 335 pages
Book Rating : 4.4/5 (19 download)
Download or read book Discrete Mathematics Days 2022 written by Luis Felipe Tabera Alonso and published by Ed. Universidad de Cantabria. This book was released on 2022-07-04 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: El congreso Discrete Mathematics Days (DMD20/22) tendrá lugar del 4 al 6 de julio de 2022, en la Facultad de Ciencias de la Universidad de Cantabria (Santander, España). Este congreso internacional se centra en avances dentro del campo de la Matemática discreta, incluyendo, de manera no exhaustiva: · Algoritmos y Complejidad · Combinatoria · Teoría de Códigos · Criptografía · Geometría Discreta y Computacional · Optimización Discreta · Teoría de Grafos · Problemas de localización discreta y temas relacionados Las ediciones anteriores de este evento se celebraros en Sevilla (2018) y Barcelona (2016), estos congresos heredan la tradición de las Jornadas de Matemática Discreta y Algorítmica (JMDA), el encuentro bienal en España en Matemática Discreta (desde 1998). Durante la celebración del congreso tendrán lugar cuatro conferencias plenarias, cuarenta y dos presentaciones orales y una sesión de once pósteres. Abstract The Discrete Mathematics Days (DMD20/22) will be held on July 4-6, 2022, at Facultad de Ciencias of the Universidad de Cantabria (Santander, Spain). The main focus of this international conference is on current topics in Discrete Mathematics, including (but not limited to): Algorithms and Complexity Combinatorics Coding Theory Cryptography Discrete and Computational Geometry Discrete Optimization Graph Theory Location and Related Problems The previous editions were held in Sevilla in 2018 and in Barcelona in 2016, inheriting the tradition of the Jornadas de Matemática Discreta y Algorítmica (JMDA), the Spanish biennial meeting (since 1998) on Discrete Mathematics. The program consists on four plenary talks, 42 contributed talks and a poster session with 11 contributions.
Author : James Franklin Lawrence
Publisher :
ISBN 13 :
Total Pages : 134 pages
Book Rating : 4.:/5 (198 download)
Download or read book Oriented Matroids written by James Franklin Lawrence and published by . This book was released on 1975 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Anders Björner
Publisher :
ISBN 13 : 9781107095717
Total Pages : 562 pages
Book Rating : 4.0/5 (957 download)
Download or read book Oriented Matroids written by Anders Björner and published by . This book was released on 1999 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: First comprehensive, accessible account; second edition has expanded bibliography and a new appendix surveying recent research.
Author : Gary Gordon
Publisher : Cambridge University Press
ISBN 13 : 0521145686
Total Pages : 411 pages
Book Rating : 4.5/5 (211 download)
Download or read book Matroids: A Geometric Introduction written by Gary Gordon and published by Cambridge University Press. This book was released on 2012-08-02 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.
