Convexity And Discrete Geometry Including Graph Theory

Convexity And Discrete Geometry Including Graph Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Convexity And Discrete Geometry Including Graph Theory book. This book definitely worth reading, it is an incredibly well-written.

Convexity and Discrete Geometry Including Graph Theory

Karim Adiprasito,Imre Bárány,Costin Vilcu
Convexity and Discrete Geometry Including Graph Theory Book PDF

Author : Karim Adiprasito,Imre Bárány,Costin Vilcu
Publisher : Springer
Page : 280 pages
File Size : 47,8 Mb
Release : 2016-05-02
Category : Mathematics
ISBN : 9783319281865

Get Book

Convexity and Discrete Geometry Including Graph Theory by Karim Adiprasito,Imre Bárány,Costin Vilcu Pdf

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. The contributions address subjects in convexity and discrete geometry, in distance geometry or with geometrical flavor in combinatorics, graph theory or non-linear analysis. Written by top experts, these papers highlight the close connections between these fields, as well as ties to other domains of geometry and their reciprocal influence. They offer an overview on recent developments in geometry and its border with discrete mathematics, and provide answers to several open questions. The volume addresses a large audience in mathematics, including researchers and graduate students interested in geometry and geometrical problems.

Convexity and Graph Theory

M. Rosenfeld,J. Zaks
Convexity and Graph Theory Book PDF

Author : M. Rosenfeld,J. Zaks
Publisher : Elsevier
Page : 338 pages
File Size : 40,6 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 0080871984

Get Book

Convexity and Graph Theory by M. Rosenfeld,J. Zaks Pdf

Among the participants discussing recent trends in their respective fields and in areas of common interest in these proceedings are such world-famous geometers as H.S.M. Coxeter, L. Danzer, D.G. Larman and J.M. Wills, and equally famous graph-theorists B. Bollobás, P. Erdös and F. Harary. In addition to new results in both geometry and graph theory, this work includes articles involving both of these two fields, for instance ``Convexity, Graph Theory and Non-Negative Matrices'', ``Weakly Saturated Graphs are Rigid'', and many more. The volume covers a broad spectrum of topics in graph theory, geometry, convexity, and combinatorics. The book closes with a number of abstracts and a collection of open problems raised during the conference.

Geodesic Convexity in Graphs

Ignacio M. Pelayo
Geodesic Convexity in Graphs Book PDF

Author : Ignacio M. Pelayo
Publisher : Springer Science & Business Media
Page : 117 pages
File Size : 45,5 Mb
Release : 2013-09-06
Category : Mathematics
ISBN : 9781461486992

Get Book

Geodesic Convexity in Graphs by Ignacio M. Pelayo Pdf

​​​​​​​​Geodesic Convexity in Graphs is devoted to the study of the geodesic convexity on finite, simple, connected graphs. The first chapter includes the main definitions and results on graph theory, metric graph theory and graph path convexities. The following chapters focus exclusively on the geodesic convexity, including motivation and background, specific definitions, discussion and examples, results, proofs, exercises and open problems. The main and most st​udied parameters involving geodesic convexity in graphs are both the geodetic and the hull number which are defined as the cardinality of minimum geodetic and hull set, respectively. This text reviews various results, obtained during the last one and a half decade, relating these two invariants and some others such as convexity number, Steiner number, geodetic iteration number, Helly number, and Caratheodory number to a wide range a contexts, including products, boundary-type vertex sets, and perfect graph families. This monograph can serve as a supplement to a half-semester graduate course in geodesic convexity but is primarily a guide for postgraduates and researchers interested in topics related to metric graph theory and graph convexity theory. ​

Discrete Geometry

Andras Bezdek
Discrete Geometry Book PDF

Author : Andras Bezdek
Publisher : CRC Press
Page : 500 pages
File Size : 45,9 Mb
Release : 2003-02-04
Category : Mathematics
ISBN : 9780824747619

Get Book

Discrete Geometry by Andras Bezdek Pdf

Celebrating the work of Professor W. Kuperberg, this reference explores packing and covering theory, tilings, combinatorial and computational geometry, and convexity, featuring an extensive collection of problems compiled at the Discrete Geometry Special Session of the American Mathematical Society in New Orleans, Louisiana. Discrete Geometry analyzes packings and coverings with congruent convex bodies , arrangements on the sphere, line transversals, Euclidean and spherical tilings, geometric graphs, polygons and polyhedra, and fixing systems for convex figures. This text also offers research and contributions from more than 50 esteemed international authorities, making it a valuable addition to any mathematical library.

Discrete and Computational Geometry

Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Discrete and Computational Geometry Book PDF

Author : Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir
Publisher : Springer Science & Business Media
Page : 853 pages
File Size : 42,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642555664

Get Book

Discrete and Computational Geometry by Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir Pdf

An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.

Combinatorial Convexity

Imre Bárány
Combinatorial Convexity Book PDF

Author : Imre Bárány
Publisher : American Mathematical Soc.
Page : 148 pages
File Size : 54,5 Mb
Release : 2021-11-04
Category : Education
ISBN : 9781470467098

Get Book

Combinatorial Convexity by Imre Bárány Pdf

This book is about the combinatorial properties of convex sets, families of convex sets in finite dimensional Euclidean spaces, and finite points sets related to convexity. This area is classic, with theorems of Helly, Carathéodory, and Radon that go back more than a hundred years. At the same time, it is a modern and active field of research with recent results like Tverberg's theorem, the colourful versions of Helly and Carathéodory, and the (p,q) (p,q) theorem of Alon and Kleitman. As the title indicates, the topic is convexity and geometry, and is close to discrete mathematics. The questions considered are frequently of a combinatorial nature, and the proofs use ideas from geometry and are often combined with graph and hypergraph theory. The book is intended for students (graduate and undergraduate alike), but postdocs and research mathematicians will also find it useful. It can be used as a textbook with short chapters, each suitable for a one- or two-hour lecture. Not much background is needed: basic linear algebra and elements of (hyper)graph theory as well as some mathematical maturity should suffice.

The Cube-A Window to Convex and Discrete Geometry

Chuanming Zong
The Cube A Window to Convex and Discrete Geometry Book PDF

Author : Chuanming Zong
Publisher : Cambridge University Press
Page : 196 pages
File Size : 49,7 Mb
Release : 2006-02-02
Category : Mathematics
ISBN : 0521855357

Get Book

The Cube-A Window to Convex and Discrete Geometry by Chuanming Zong Pdf

Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

Lectures on Discrete Geometry

Jiri Matousek
Lectures on Discrete Geometry Book PDF

Author : Jiri Matousek
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 46,6 Mb
Release : 2013-12-01
Category : Mathematics
ISBN : 9781461300397

Get Book

Lectures on Discrete Geometry by Jiri Matousek Pdf

The main topics in this introductory text to discrete geometry 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, and embeddings of finite metric spaces into normed spaces. In each area, the text explains several key results and methods.

Convex and Discrete Geometry

Peter M. Gruber
Convex and Discrete Geometry Book PDF

Author : Peter M. Gruber
Publisher : Springer Science & Business Media
Page : 590 pages
File Size : 50,7 Mb
Release : 2007-05-17
Category : Mathematics
ISBN : 9783540711339

Get Book

Convex and Discrete Geometry by Peter M. Gruber Pdf

Convex and Discrete Geometry is an area of mathematics situated between analysis, geometry and discrete mathematics with numerous relations to other subdisciplines. This book provides a comprehensive overview of major results, methods and ideas of convex and discrete geometry and its applications. Besides being a graduate-level introduction to the field, it is a practical source of information and orientation for convex geometers, and useful to people working in the applied fields.

Forbidden Configurations in Discrete Geometry

David Eppstein
Forbidden Configurations in Discrete Geometry Book PDF

Author : David Eppstein
Publisher : Cambridge University Press
Page : 242 pages
File Size : 42,5 Mb
Release : 2018-05-17
Category : Computers
ISBN : 9781108542975

Get Book

Forbidden Configurations in Discrete Geometry by David Eppstein Pdf

This book surveys the mathematical and computational properties of finite sets of points in the plane, covering recent breakthroughs on important problems in discrete geometry, and listing many open problems. It unifies these mathematical and computational views using forbidden configurations, which are patterns that cannot appear in sets with a given property, and explores the implications of this unified view. Written with minimal prerequisites and featuring plenty of figures, this engaging book will be of interest to undergraduate students and researchers in mathematics and computer science. Most topics are introduced with a related puzzle or brain-teaser. The topics range from abstract issues of collinearity, convexity, and general position to more applied areas including robust statistical estimation and network visualization, with connections to related areas of mathematics including number theory, graph theory, and the theory of permutation patterns. Pseudocode is included for many algorithms that compute properties of point sets.

Applied Geometry and Discrete Mathematics

Peter Gritzmann,Bernd Sturmfels,Victor Klee
Applied Geometry and Discrete Mathematics Book PDF

Author : Peter Gritzmann,Bernd Sturmfels,Victor Klee
Publisher : American Mathematical Soc.
Page : 660 pages
File Size : 55,8 Mb
Release : 1991
Category : Mathematics
ISBN : 0821870831

Get Book

Applied Geometry and Discrete Mathematics by Peter Gritzmann,Bernd Sturmfels,Victor Klee Pdf

This volume, published jointly with the Association for Computing Machinery, comprises a collection of research articles celebrating the occasion of Victor Klee's 65th birthday in September 1990. During his long career, Klee has made contributions to a wide variety of areas, such as discrete and computational geometry, convexity, combinatorics, graph theory, functional analysis, mathematical programming and optimization, and theoretical computer science. In addition, Klee made important contributions to mathematics, education, mathematical methods in economics and the decision sciences, applications of discrete mathematics in the biological and social sciences, and the transfer of knowledge from applied mathematics to industry. In honour of Klee's achievements, this volume presents more than 40 papers on topics related to Klee's research. While the majority of the papers are research articles, a number of survey articles are also included. Mirroring the breadth of Klee's mathematical contributions, this book shows how different branches of mathematics interact. It is a fitting tribute to one of the leading figures in discrete mathematics.

Thirty Essays on Geometric Graph Theory

János Pach
Thirty Essays on Geometric Graph Theory Book PDF

Author : János Pach
Publisher : Springer Science & Business Media
Page : 610 pages
File Size : 49,6 Mb
Release : 2012-12-15
Category : Mathematics
ISBN : 9781461401100

Get Book

Thirty Essays on Geometric Graph Theory by János Pach Pdf

In many applications of graph theory, graphs are regarded as geometric objects drawn in the plane or in some other surface. The traditional methods of "abstract" graph theory are often incapable of providing satisfactory answers to questions arising in such applications. In the past couple of decades, many powerful new combinatorial and topological techniques have been developed to tackle these problems. Today geometric graph theory is a burgeoning field with many striking results and appealing open questions. This contributed volume contains thirty original survey and research papers on important recent developments in geometric graph theory. The contributions were thoroughly reviewed and written by excellent researchers in this field.

Polytopes and Discrete Geometry

Gabriel Cunningham,Mark Mixer,Egon Schulte
Polytopes and Discrete Geometry Book PDF

Author : Gabriel Cunningham,Mark Mixer,Egon Schulte
Publisher : American Mathematical Soc.
Page : 272 pages
File Size : 54,7 Mb
Release : 2021-04-06
Category : Education
ISBN : 9781470448974

Get Book

Polytopes and Discrete Geometry by Gabriel Cunningham,Mark Mixer,Egon Schulte Pdf

The papers showcase the breadth of discrete geometry through many new methods and results in a variety of topics. Also included are survey articles on some important areas of active research. This volume is aimed at researchers in discrete and convex geometry and researchers who work with abstract polytopes or string C C-groups. It is also aimed at early career mathematicians, including graduate students and postdoctoral fellows, to give them a glimpse of the variety and beauty of these research areas. Topics covered in this volume include: the combinatorics, geometry, and symmetries of convex polytopes; tilings; discrete point sets; the combinatorics of Eulerian posets and interval posets; symmetries of surfaces and maps on surfaces; self-dual polytopes; string C C-groups; hypertopes; and graph coloring.

Convexity from the Geometric Point of View

Vitor Balestro,Horst Martini,Ralph Teixeira
Convexity from the Geometric Point of View Book PDF

Author : Vitor Balestro,Horst Martini,Ralph Teixeira
Publisher : Birkhäuser
Page : 0 pages
File Size : 51,8 Mb
Release : 2024-08-09
Category : Mathematics
ISBN : 3031505069

Get Book

Convexity from the Geometric Point of View by Vitor Balestro,Horst Martini,Ralph Teixeira Pdf

This text gives a comprehensive introduction to the “common core” of convex geometry. Basic concepts and tools which are present in all branches of that field are presented with a highly didactic approach. Mainly directed to graduate and advanced undergraduates, the book is self-contained in such a way that it can be read by anyone who has standard undergraduate knowledge of analysis and of linear algebra. Additionally, it can be used as a single reference for a complete introduction to convex geometry, and the content coverage is sufficiently broad that the reader may gain a glimpse of the entire breadth of the field and various subfields. The book is suitable as a primary text for courses in convex geometry and also in discrete geometry (including polytopes). It is also appropriate for survey type courses in Banach space theory, convex analysis, differential geometry, and applications of measure theory. Solutions to all exercises are available to instructors who adopt the text for coursework. Most chapters use the same structure with the first part presenting theory and the next containing a healthy range of exercises. Some of the exercises may even be considered as short introductions to ideas which are not covered in the theory portion. Each chapter has a notes section offering a rich narrative to accompany the theory, illuminating the development of ideas, and providing overviews to the literature concerning the covered topics. In most cases, these notes bring the reader to the research front. The text includes many figures that illustrate concepts and some parts of the proofs, enabling the reader to have a better understanding of the geometric meaning of the ideas. An appendix containing basic (and geometric) measure theory collects useful information for convex geometers.

Analytic Aspects of Convexity

Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi
Analytic Aspects of Convexity Book PDF

Author : Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi
Publisher : Springer
Page : 120 pages
File Size : 53,7 Mb
Release : 2018-02-28
Category : Mathematics
ISBN : 9783319718347

Get Book

Analytic Aspects of Convexity by Gabriele Bianchi,Andrea Colesanti,Paolo Gronchi Pdf

This book presents the proceedings of the international conference Analytic Aspects in Convexity, which was held in Rome in October 2016. It offers a collection of selected articles, written by some of the world’s leading experts in the field of Convex Geometry, on recent developments in this area: theory of valuations; geometric inequalities; affine geometry; and curvature measures. The book will be of interest to a broad readership, from those involved in Convex Geometry, to those focusing on Functional Analysis, Harmonic Analysis, Differential Geometry, or PDEs. The book is a addressed to PhD students and researchers, interested in Convex Geometry and its links to analysis.