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Geometric Graphs and Arrangements

Geometric Graphs and Arrangements
Author: Stefan Felsner
Publisher: Springer Science & Business Media
Total Pages: 179
Release: 2012-12-06
Genre: Mathematics
ISBN: 3322803031

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Among the intuitively appealing aspects of graph theory is its close connection to drawings and geometry. The development of computer technology has become a source of motivation to reconsider these connections, in particular geometric graphs are emerging as a new subfield of graph theory. Arrangements of points and lines are the objects for many challenging problems and surprising solutions in combinatorial geometry. The book is a collection of beautiful and partly very recent results from the intersection of geometry, graph theory and combinatorics.


Geometric Graphs and Arrangements

Geometric Graphs and Arrangements
Author: Stefan Felsner
Publisher:
Total Pages: 184
Release: 2004-02-24
Genre:
ISBN: 9783322803047

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Towards a Theory of Geometric Graphs

Towards a Theory of Geometric Graphs
Author: János Pach
Publisher: American Mathematical Soc.
Total Pages: 300
Release: 2004
Genre: Mathematics
ISBN: 0821834843

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This volume contains a collection of papers on graph theory, with the common theme that all the graph theoretical problems addressed are approached from a geometrical, rather than an abstract point of view. This is no accident; the editor selected these papers not as a comprehensive literature revie


Geometric Combinatorics

Geometric Combinatorics
Author: Ezra Miller
Publisher: American Mathematical Soc.
Total Pages: 705
Release: 2007
Genre: Combinatorial analysis
ISBN: 0821837362

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Geometric combinatorics describes a wide area of mathematics that is primarily the study of geometric objects and their combinatorial structure. This text is a compilation of expository articles at the interface between combinatorics and geometry.


Combinatorial Geometry

Combinatorial Geometry
Author: János Pach
Publisher: John Wiley & Sons
Total Pages: 376
Release: 2011-10-18
Genre: Mathematics
ISBN: 1118031369

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A complete, self-contained introduction to a powerful and resurgingmathematical discipline . Combinatorial Geometry presents andexplains with complete proofs some of the most important resultsand methods of this relatively young mathematical discipline,started by Minkowski, Fejes Toth, Rogers, and Erd???s. Nearly halfthe results presented in this book were discovered over the pasttwenty years, and most have never before appeared in any monograph.Combinatorial Geometry will be of particular interest tomathematicians, computer scientists, physicists, and materialsscientists interested in computational geometry, robotics, sceneanalysis, and computer-aided design. It is also a superb textbook,complete with end-of-chapter problems and hints to their solutionsthat help students clarify their understanding and test theirmastery of the material. Topics covered include: * Geometric number theory * Packing and covering with congruent convex disks * Extremal graph and hypergraph theory * Distribution of distances among finitely many points * Epsilon-nets and Vapnik--Chervonenkis dimension * Geometric graph theory * Geometric discrepancy theory * And much more


Discrete Geometry

Discrete Geometry
Author: Andras Bezdek
Publisher: CRC Press
Total Pages: 500
Release: 2003-02-04
Genre: Mathematics
ISBN: 0824747615

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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.


Handbook of Discrete and Computational Geometry

Handbook of Discrete and Computational Geometry
Author: Csaba D. Toth
Publisher: CRC Press
Total Pages: 1928
Release: 2017-11-22
Genre: Computers
ISBN: 1498711421

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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.


Arrangements and Spreads

Arrangements and Spreads
Author: B. Gr\unbaum"
Publisher: American Mathematical Soc.
Total Pages: 122
Release: 1972
Genre:
ISBN: 0821888609

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Discrete Geometry

Discrete Geometry
Author: Andras Bezdek
Publisher: CRC Press
Total Pages: 464
Release: 2003-02-04
Genre: Mathematics
ISBN: 9780824709686

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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.


Handbook of Discrete and Computational Geometry

Handbook of Discrete and Computational Geometry
Author: Csaba D. Toth
Publisher: CRC Press
Total Pages: 2879
Release: 2017-11-22
Genre: Computers
ISBN: 1351645919

Download Handbook of Discrete and Computational Geometry Book in PDF, ePub and Kindle

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.