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Volumetric Discrete Geometry, Karoly Bezdek, Zsolt Langi


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Автор: Karoly Bezdek, Zsolt Langi
Название:  Volumetric Discrete Geometry
ISBN: 9780367223755
Издательство: Taylor&Francis
Классификация:


ISBN-10: 0367223759
Обложка/Формат: Hardcover
Страницы: 302
Вес: 0.60 кг.
Дата издания: 22.04.2019
Серия: Discrete mathematics and its applications
Язык: English
Иллюстрации: 44 illustrations, black and white
Размер: 164 x 241 x 18
Читательская аудитория: Tertiary education (us: college)
Ключевые слова: Discrete mathematics, MATHEMATICS / Combinatorics,MATHEMATICS / Geometry / General
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Поставляется из: Европейский союз
Описание: Volume of geometric objects was studied by ancient Greek mathematicians. In discrete geometry, a relatively new branch of geometry, volume plays a significant role in generating topics for research. Part I consists of survey chapters of selected topics on volume and Part II consisting of chapters of selected proofs of theorems stated in Part I.


Lectures on discrete geometry

Автор: Matousek Jiri
Название: Lectures on discrete geometry
ISBN: 0387953744 ISBN-13(EAN): 9780387953748
Издательство: Springer
Цена: 9781.00 р.
Наличие на складе: Есть у поставщика Поставка под заказ.

Описание: This book is primarily a textbook introduction to various areas of discrete geometry. In each area, it explains several key results and methods, in an accessible and concrete manner. It also contains more advanced material in separate sections and thus it can serve as a collection of surveys in several narrower subfields. The main topics include: basics on convex sets, convex polytopes, and hyperplane arrangements; combinatorial complexity of geometric configurations; intersection patterns and transversals of convex sets; geometric Ramsey-type results; polyhedral combinatorics and high-dimensional convexity; and lastly, embeddings of finite metric spaces into normed spaces.

Geometry - Intuitive, Discrete, and Convex

Автор: Imre B?r?ny; K?roly Jr. B?r?czky; G?bor Fejes T?th
Название: Geometry - Intuitive, Discrete, and Convex
ISBN: 3662514516 ISBN-13(EAN): 9783662514511
Издательство: Springer
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Цена: 11878.00 р.
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Описание: The present volume is a collection of a dozen survey articles, dedicated to the memory of the famous Hungarian geometer, Laszlo Fejes Toth, on the 99th anniversary of his birth. The mathematical work and perspectives of all editors and most contributors of this volume were deeply influenced by Laszlo Fejes Toth.

Convexity and Discrete Geometry Including Graph Theory

Автор: Karim Adiprasito; Imre B?r?ny; Costin Vilcu
Название: Convexity and Discrete Geometry Including Graph Theory
ISBN: 3319281844 ISBN-13(EAN): 9783319281841
Издательство: Springer
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Цена: 13974.00 р.
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Описание: This volume presents easy-to-understand yet surprising properties obtained using topological, geometric and graph theoretic tools in the areas covered by the Geometry Conference that took place in Mulhouse, France from September 7-11, 2014 in honour of Tudor Zamfirescu on the occasion of his 70th anniversary.

Discrete Geometry and Optimization

Автор: K?roly Bezdek; Antoine Deza; Yinyu Ye
Название: Discrete Geometry and Optimization
ISBN: 3319033123 ISBN-13(EAN): 9783319033129
Издательство: Springer
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Цена: 15372.00 р.
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Описание: Based on presentations at the 2011 Workshop on Discrete Geometry, the Conference on Discrete Geometry and Optimization, and the Workshop on Optimization, this book illustrates many fruitful connections found in the interaction between geometers and optimizers.

Groups, Graphs and Random Walks

Автор: Ceccherini-Silberstein
Название: Groups, Graphs and Random Walks
ISBN: 1316604403 ISBN-13(EAN): 9781316604403
Издательство: Cambridge Academ
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Цена: 11880.00 р.
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Описание: An accessible and panoramic account of the theory of random walks on groups and graphs, stressing the connections with other branches of mathematics. Covering topics from growth and amenability of groups, Schroedinger operators, and Poisson boundaries, this book provides a valuable and up-to-date reference for both researchers and graduates.

Topological Theory of Graphs

Автор: Yanpei Liu
Название: Topological Theory of Graphs
ISBN: 311047669X ISBN-13(EAN): 9783110476699
Издательство: Walter de Gruyter
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Цена: 24165.00 р.
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Описание:

This book presents a topological approach to combinatorial configurations, in particular graphs, by introducing a new pair of homology and cohomology via polyhedra. On this basis, a number of problems are solved using a new approach, such as the embeddability of a graph on a surface (orientable and nonorientable) with given genus, the Gauss crossing conjecture, the graphicness and cographicness of a matroid, and so forth. Notably, the specific case of embeddability on a surface of genus zero leads to a number of corollaries, including the theorems of Lefschetz (on double coverings), of MacLane (on cycle bases), and of Whitney (on duality) for planarity. Relevant problems include the Jordan axiom in polyhedral forms, efficient methods for extremality and for recognizing a variety of embeddings (including rectilinear layouts in VLSI), and pan-polynomials, including those of Jones, Kauffman (on knots), and Tutte (on graphs), among others.

Contents

Preliminaries

Polyhedra

Surfaces

Homology on Polyhedra

Polyhedra on the Sphere

Automorphisms of a Polyhedron

Gauss Crossing Sequences

Cohomology on Graphs

Embeddability on Surfaces

Embeddings on Sphere

Orthogonality on Surfaces

Net Embeddings

Extremality on Surfaces

Matroidal Graphicness

Knot Polynomials

Discrete and Computational Geometry and Graphs

Автор: Jin Akiyama; Hiro Ito; Toshinori Sakai
Название: Discrete and Computational Geometry and Graphs
ISBN: 3319485318 ISBN-13(EAN): 9783319485317
Издательство: Springer
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Цена: 8106.00 р.
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Описание: This book constitutes the thoroughly refereed post-conference proceedings of the 18th Japanese Conference on Discrete and Computational Geometry and Graphs, JDCDGG 2015, held in Kyoto, Japan, in September 2015. The total of 25 papers included in this volume was carefully reviewed and selected from 64 submissions.

Discrete Geometry for Computer Imagery

Автор: Nicolas Normand; Jeanpierre Gu?don; Florent Autrus
Название: Discrete Geometry for Computer Imagery
ISBN: 3319323598 ISBN-13(EAN): 9783319323596
Издательство: Springer
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Цена: 8944.00 р.
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Описание: Thisbook constitutes the refereed proceedings of the 19th IAPR InternationalConference on Discrete Geometry for Computer Imagery, DGCI 2016, held in Nantes,France, in April 2016. discrete and combinatorial topology; models fordiscrete geometry; and discrete shape representation, recognition and analysis.

Digital and Discrete Geometry

Автор: Li M. Chen
Название: Digital and Discrete Geometry
ISBN: 3319120980 ISBN-13(EAN): 9783319120980
Издательство: Springer
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Цена: 13275.00 р.
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Описание: Digital and Discrete Geometry

Discrete Geometry for Computer Imagery

Автор: Elena Barcucci; Andrea Frosini; Simone Rinaldi
Название: Discrete Geometry for Computer Imagery
ISBN: 331909954X ISBN-13(EAN): 9783319099545
Издательство: Springer
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Цена: 8944.00 р.
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Описание: The papers are organized in topical sections on Models for Discrete Geometry, Discrete and Combinatorial Topology, Geometric Transforms, Discrete Shape Representation, Recognition and Analysis, Discrete Tomography, Morphological Analysis, Discrete Modelling and Visualization, Discrete and Combinatorial Tools for Image Segmentation and Analysis.

Discrete differential geometry preliminary entry 38

Название: Discrete differential geometry preliminary entry 38
ISBN: 3764386207 ISBN-13(EAN): 9783764386207
Издательство: Springer
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Цена: 5589.00 р.
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Описание: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces.


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