Tilings Of Zonotopes
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Formal Power Series and Algebraic Combinatorics
Author | : Daniel Krob |
Publisher | : Springer Science & Business Media |
Total Pages | : 815 |
Release | : 2013-03-09 |
Genre | : Mathematics |
ISBN | : 3662041669 |
This book contains the extended abstracts presented at the 12th International Conference on Power Series and Algebraic Combinatorics (FPSAC '00) that took place at Moscow State University, June 26-30, 2000. These proceedings cover the most recent trends in algebraic and bijective combinatorics, including classical combinatorics, combinatorial computer algebra, combinatorial identities, combinatorics of classical groups, Lie algebra and quantum groups, enumeration, symmetric functions, young tableaux etc...
Convexity from the Geometric Point of View
Author | : Vitor Balestro |
Publisher | : Springer Nature |
Total Pages | : 1195 |
Release | : |
Genre | : |
ISBN | : 3031505077 |
Triangulations
Author | : Jesus De Loera |
Publisher | : Springer Science & Business Media |
Total Pages | : 547 |
Release | : 2010-08-16 |
Genre | : Mathematics |
ISBN | : 3642129714 |
Triangulations presents the first comprehensive treatment of the theory of secondary polytopes and related topics. The text discusses the geometric structure behind the algorithms and shows new emerging applications, including hundreds of illustrations, examples, and exercises.
Lectures on Polytopes
Author | : Günter M. Ziegler |
Publisher | : Springer Science & Business Media |
Total Pages | : 388 |
Release | : 2012-05-03 |
Genre | : Mathematics |
ISBN | : 038794365X |
Based on a graduate course at the Technische Universität, Berlin, these lectures present a wealth of material on the modern theory of convex polytopes. The straightforward exposition features many illustrations, and complete proofs for most theorems. With only linear algebra as a prerequisite, it takes the reader quickly from the basics to topics of recent research. The lectures introduce basic facts about polytopes, with an emphasis on methods that yield the results, discuss important examples and elegant constructions, and show the excitement of current work in the field. They will provide interesting and enjoyable reading for researchers as well as students.
Zonotopal Tilings and the Bohne-Dress Theorem
Author | : Jürgen Richter-Gebert |
Publisher | : |
Total Pages | : 21 |
Release | : 1993 |
Genre | : Computational geometry |
ISBN | : |
Abstract: "We prove a natural bijection between the polytopal tilings of a zonotope Z by zonotopes, and the one-element-liftings of the oriented matroid M(Z) associated with Z. This yields a simple proof and a strengthening of the Bohne-Dress Theorem on zonotopal tilings."
Contributions to Geometry
Author | : WILLS |
Publisher | : Birkhäuser |
Total Pages | : 399 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3034857659 |
During the time from June 28-July 1, 1978, representatives of different branches of geometry met in Siegen for discussion of and reports on current problems. In particular, the survey lectures, presented by well known geometers, gave nonspecialists the welcome opportunity to learn about the questions posed, the methods used and the results obtained in different areas of the field of geometry. The research areas represented at the meeting in Siegen are reflected in the list of participants and their contributions: Ranging from geometric convexity and related topics to differential geometry and kinematics. The foundations of geometry, an area well established in Germany, was also represented. It is a pleasure to thank all the lecturers as well as other participants in the Geometry Symposium for their contribution to the success of the meeting. We also thank the "Minister fUr Wissenschaft und Forschung des Landes Nordrhein-Westfalen" and the University of Siegen for their generous support which helped make the Symposium so successful. In order to make the contributions and results of the Symposium accessible to the general public, the publication of a proceedings volume was planned. The idea was to give a summary of a wide spectrum of research in geometr- through survey articles and original research papers.
Jerusalem Combinatorics '93
Author | : Hélène Barcelo |
Publisher | : American Mathematical Soc. |
Total Pages | : 370 |
Release | : 1994 |
Genre | : Mathematics |
ISBN | : 0821802941 |
This book contains twenty-two papers presented at the International Conference in Combinatorics, held in Jerusalem in May 1993. The papers describe some of the latest developments in algebraic combinatorics, enumeration, graph and hypergraph theory, combinatorial geometry, and geometry of polytopes and arrangements. The papers are accessible to specialists as well as nonspecialists.
New Perspectives in Algebraic Combinatorics
Author | : Louis J. Billera |
Publisher | : Cambridge University Press |
Total Pages | : 360 |
Release | : 1999-09-28 |
Genre | : Mathematics |
ISBN | : 9780521770873 |
This text contains expository contributions by respected researchers on the connections between algebraic geometry, topology, commutative algebra, representation theory, and convex geometry.
Research Problems in Discrete Geometry
Author | : Peter Brass |
Publisher | : Springer Science & Business Media |
Total Pages | : 507 |
Release | : 2006-01-27 |
Genre | : Mathematics |
ISBN | : 0387299297 |
This book is the result of a 25-year-old project and comprises a collection of more than 500 attractive open problems in the field. The largely self-contained chapters provide a broad overview of discrete geometry, along with historical details and the most important partial results related to these problems. This book is intended as a source book for both professional mathematicians and graduate students who love beautiful mathematical questions, are willing to spend sleepless nights thinking about them, and who would like to get involved in mathematical research.