Towards A Theory Of Geometric Graphs

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Towards A Theory Of Geometric Graphs

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Author : János Pach
language : en
Publisher: American Mathematical Soc.
Release Date : 2004

Towards A Theory Of Geometric Graphs written by János Pach and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.

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 Graphs And Arrangements

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Author : Stefan Felsner
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Geometric Graphs And Arrangements written by Stefan Felsner and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

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 mostly very recent results from the intersection of geometry, graph theory and combinatorics.

Topological Crystallography

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Author : Toshikazu Sunada
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-23

Topological Crystallography written by Toshikazu Sunada and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-23 with Mathematics categories.

Geometry in ancient Greece is said to have originated in the curiosity of mathematicians about the shapes of crystals, with that curiosity culminating in the classification of regular convex polyhedra addressed in the final volume of Euclid’s Elements. Since then, geometry has taken its own path and the study of crystals has not been a central theme in mathematics, with the exception of Kepler’s work on snowflakes. Only in the nineteenth century did mathematics begin to play a role in crystallography as group theory came to be applied to the morphology of crystals. This monograph follows the Greek tradition in seeking beautiful shapes such as regular convex polyhedra. The primary aim is to convey to the reader how algebraic topology is effectively used to explore the rich world of crystal structures. Graph theory, homology theory, and the theory of covering maps are employed to introduce the notion of the topological crystal which retains, in the abstract, all the information on the connectivity of atoms in the crystal. For that reason the title Topological Crystallography has been chosen. Topological crystals can be described as “living in the logical world, not in space,” leading to the question of how to place or realize them “canonically” in space. Proposed here is the notion of standard realizations of topological crystals in space, including as typical examples the crystal structures of diamond and lonsdaleite. A mathematical view of the standard realizations is also provided by relating them to asymptotic behaviors of random walks and harmonic maps. Furthermore, it can be seen that a discrete analogue of algebraic geometry is linked to the standard realizations. Applications of the discussions in this volume include not only a systematic enumeration of crystal structures, an area of considerable scientific interest for many years, but also the architectural design of lightweight rigid structures. The reader therefore can see the agreement of theory and practice.

Graph Drawing

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Author : Michael Kaufmann
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-02-07

Graph Drawing written by Michael Kaufmann and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-02-07 with Computers categories.

This book constitutes the thoroughly refereed post-proceedings of the 14th International Symposium on Graph Drawing, GD 2006, held in Karlsruhe, Germany in September 2006. The 33 revised full papers and 5 revised short papers presented together with 2 invited talks, 1 system demo, 2 poster papers and a report on the graph drawing contest were carefully selected during two rounds of reviewing and improvement from 91 submissions. All current aspects in graph drawing are addressed ranging from foundational and methodological issues to applications for various classes of graphs in a variety of fie.

Affine Algebraic Geometry

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Author : Jaime Gutierrez
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Affine Algebraic Geometry written by Jaime Gutierrez and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

A Special Session on affine and algebraic geometry took place at the first joint meeting between the American Mathematical Society (AMS) and the Real Sociedad Matematica Espanola (RSME) held in Seville (Spain). This volume contains articles by participating speakers at the Session. The book contains research and survey papers discussing recent progress on the Jacobian Conjecture and affine algebraic geometry and includes a large collection of open problems. It is suitable for graduate students and research mathematicians interested in algebraic geometry.

Research Problems In Discrete Geometry

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Author : Peter Brass
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-19

Research Problems In Discrete Geometry written by Peter Brass and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-06-19 with Mathematics categories.

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.

Horizons Of Combinatorics

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Author : Ervin Gyori
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-10-20

Horizons Of Combinatorics written by Ervin Gyori and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-10-20 with Mathematics categories.

Hungarian mathematics has always been known for discrete mathematics, including combinatorial number theory, set theory and recently random structures, and combinatorial geometry. The recent volume contains high level surveys on these topics with authors mostly being invited speakers for the conference "Horizons of Combinatorics" held in Balatonalmadi, Hungary in 2006. The collection gives an overview of recent trends and results in a large part of combinatorics and related topics.

More Sets Graphs And Numbers

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Author : Ervin Gyori
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-10-02

More Sets Graphs And Numbers written by Ervin Gyori and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-10-02 with Mathematics categories.

Discrete mathematics, including (combinatorial) number theory and set theory has always been a stronghold of Hungarian mathematics. The present volume honouring Vera Sos and Andras Hajnal contains survey articles (with classical theorems and state-of-the-art results) and cutting edge expository research papers with new theorems and proofs in the area of the classical Hungarian subjects, like extremal combinatorics, colorings, combinatorial number theory, etc. The open problems and the latest results in the papers inspire further research. The volume is recommended to experienced specialists as well as to young researchers and students.

Graph Drawing

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Author : Seok-Hee Hong
language : en
Publisher: Springer
Release Date : 2008-01-31

Graph Drawing written by Seok-Hee Hong and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-01-31 with Computers categories.

This comprehensive new Springer publication constitutes the thoroughly refereed post-conference proceedings of the 15th International Symposium on Graph Drawing, GD 2007, held in Sydney, Australia, in September of 2007. The 27 full papers and 9 short papers presented together with 2 invited talks, and a report on the symposium’s graph drawing contest were carefully selected from 74 initial submissions. All of the current hot topics in graph drawing are addressed here.

Integer Programming And Combinatorial Optimization

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Author : Matteo Fischetti
language : en
Publisher: Springer
Release Date : 2007-06-26

Integer Programming And Combinatorial Optimization written by Matteo Fischetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-06-26 with Computers categories.

This book constitutes the refereed proceedings of the 12th International Conference on Integer Programming and Combinatorial Optimization, IPCO 2007, held in Ithaca, NY, USA, in June 2007. Among the topics addressed in the 36 revised full papers are approximation algorithms, algorithmic game theory, computational biology, integer programming, polyhedral combinatorics, scheduling theory and scheduling algorithms, as well as semidefinite programs.