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Arrangement Graphs
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Book Synopsis Geometric Graphs and Arrangements by : Stefan Felsner
Download or read book Geometric Graphs and Arrangements written by Stefan Felsner and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 179 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Arrangement Graphs written by Khaled Day and published by . This book was released on 1992 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Graphs and Cubes by : Sergei Ovchinnikov
Download or read book Graphs and Cubes written by Sergei Ovchinnikov and published by Springer Science & Business Media. This book was released on 2011-08-30 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory text in graph theory focuses on partial cubes, which are graphs that are isometrically embeddable into hypercubes of an arbitrary dimension, as well as bipartite graphs, and cubical graphs. Currently, Graphs and Cubes is the only book available on the market that presents a comprehensive coverage of cubical graph and partial cube theories. Many exercises, along with historical notes, are included at the end of every chapter, and readers are encouraged to explore the exercises fully, and use them as a basis for research projects. The prerequisites for this text include familiarity with basic mathematical concepts and methods on the level of undergraduate courses in discrete mathematics, linear algebra, group theory, and topology of Euclidean spaces. While the book is intended for lower-division graduate students in mathematics, it will be of interest to a much wider audience; because of their rich structural properties, partial cubes appear in theoretical computer science, coding theory, genetics, and even the political and social sciences.
Download or read book Graph Drawing written by Janos Pach and published by Springer. This book was released on 2005-02-10 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-proceedings of the 12th International Symposium on Graph Drawing, GD 2004, held in New York, NY, USA in September/October 2004. The 39 revised full papers and 12 revised short papers presented together with 4 posters and a report on the graph drawing context were carefully selected during two rounds of reviewing and improvement. 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 fields.
Book Synopsis Arrangements of Hyperplanes by : Peter Orlik
Download or read book Arrangements of Hyperplanes written by Peter Orlik and published by Springer Science & Business Media. This book was released on 1992-08-06 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: An arrangement of hyperplanes is a finite collection of codimension one affine subspaces in a finite dimensional vector space. Arrangements have emerged independently as important objects in various fields of mathematics such as combinatorics, braids, configuration spaces, representation theory, reflection groups, singularity theory, and in computer science and physics. This book is the first comprehensive study of the subject. It treats arrangements with methods from combinatorics, algebra, algebraic geometry, topology, and group actions. It emphasizes general techniques which illuminate the connections among the different aspects of the subject. Its main purpose is to lay the foundations of the theory. Consequently, it is essentially self-contained and proofs are provided. Nevertheless, there are several new results here. In particular, many theorems that were previously known only for central arrangements are proved here for the first time in completegenerality. The text provides the advanced graduate student entry into a vital and active area of research. The working mathematician will findthe book useful as a source of basic results of the theory, open problems, and a comprehensive bibliography of the subject.
Book Synopsis Discrete and Computational Geometry and Graphs by : Jin Akiyama
Download or read book Discrete and Computational Geometry and Graphs written by Jin Akiyama and published by Springer. This book was released on 2014-11-20 with total page 199 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 16th Japanese Conference on Discrete and computational Geometry and Graphs, JDCDGG 2013, held in Tokyo, Japan, in September 2013. The total of 16 papers included in this volume was carefully reviewed and selected from 58 submissions. The papers feature advances made in the field of computational geometry and focus on emerging technologies, new methodology and applications, graph theory and dynamics.
Book Synopsis Classes of Arrangement Graphs in Three Dimensions by : Elspeth J. Nickle
Download or read book Classes of Arrangement Graphs in Three Dimensions written by Elspeth J. Nickle and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A 3D arrangement graph G is the abstract graph induced by an arrangement of planes in general position where the intersection of any two planes forms a line of intersection and an intersection of three planes creates a point. The properties of three classes of arrangement graphs - four, five and six planes - are investigated. For graphs induced from six planes, specialized methods were developed to ensure all possible graphs were discovered. The main results are: the number of 3D arrangement graphs induced by four, five and six planes are one, one and 43 respectively; the three classes are Hamiltonian; and the 3D arrangement graphs created from four and five planes are planar but none of the graphs created from six planes are planar.
Book Synopsis Handbook of Product Graphs by : Richard Hammack
Download or read book Handbook of Product Graphs written by Richard Hammack and published by CRC Press. This book was released on 2011-06-06 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook examines the dichotomy between the structure of products and their subgraphs. It also features the design of efficient algorithms that recognize products and their subgraphs and explores the relationship between graph parameters of the product and factors. Extensively revised and expanded, this second edition presents full proofs of many important results as well as up-to-date research and conjectures. It illustrates applications of graph products in several areas and contains well over 300 exercises. Supplementary material is available on the book's website.
Book Synopsis CGAL Arrangements and Their Applications by : Efi Fogel
Download or read book CGAL Arrangements and Their Applications written by Efi Fogel and published by Springer Science & Business Media. This book was released on 2012-01-05 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: Arrangements of curves constitute fundamental structures that have been intensively studied in computational geometry. Arrangements have numerous applications in a wide range of areas – examples include geographic information systems, robot motion planning, statistics, computer-assisted surgery and molecular biology. Implementing robust algorithms for arrangements is a notoriously difficult task, and the CGAL arrangements package is the first robust, comprehensive, generic and efficient implementation of data structures and algorithms for arrangements of curves. This book is about how to use CGAL two-dimensional arrangements to solve problems. The authors first demonstrate the features of the arrangement package and related packages using small example programs. They then describe applications, i.e., complete standalone programs written on top of CGAL arrangements used to solve meaningful problems – for example, finding the minimum-area triangle defined by a set of points, planning the motion of a polygon translating among polygons in the plane, computing the offset polygon, finding the largest common point sets under approximate congruence, constructing the farthest-point Voronoi diagram, coordinating the motion of two discs moving among obstacles in the plane, and performing Boolean operations on curved polygons. The book contains comprehensive explanations of the solution programs, many illustrations, and detailed notes on further reading, and it is supported by a website that contains downloadable software and exercises. It will be suitable for graduate students and researchers involved in applied research in computational geometry, and for professionals who require worked-out solutions to real-life geometric problems. It is assumed that the reader is familiar with the C++ programming-language and with the basics of the generic-programming paradigm.
Book Synopsis Simplicial Complexes of Graphs by : Jakob Jonsson
Download or read book Simplicial Complexes of Graphs written by Jakob Jonsson and published by Springer. This book was released on 2007-12-10 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graph complex is a finite family of graphs closed under deletion of edges. Graph complexes show up naturally in many different areas of mathematics. Identifying each graph with its edge set, one may view a graph complex as a simplicial complex and hence interpret it as a geometric object. This volume examines topological properties of graph complexes, focusing on homotopy type and homology. Many of the proofs are based on Robin Forman's discrete version of Morse theory.
Book Synopsis Library of Congress Subject Headings by : Library of Congress
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 1998 with total page 1242 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Crossing Numbers of Graphs by : Marcus Schaefer
Download or read book Crossing Numbers of Graphs written by Marcus Schaefer and published by CRC Press. This book was released on 2018-01-02 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Crossing Numbers of Graphs is the first book devoted to the crossing number, an increasingly popular object of study with surprising connections. The field has matured into a large body of work, which includes identifiable core results and techniques. The book presents a wide variety of ideas and techniques in topological graph theory, discrete geometry, and computer science. The first part of the text deals with traditional crossing number, crossing number values, crossing lemma, related parameters, computational complexity, and algorithms. The second part includes the rich history of alternative crossing numbers, the rectilinear crossing number, the pair crossing number, and the independent odd crossing number.It also includes applications of the crossing number outside topological graph theory. Aimed at graduate students and professionals in both mathematics and computer science The first book of its kind devoted to the topic Authored by a noted authority in crossing numbers
Download or read book Charts and Graphs written by Bill Jelen and published by Que Publishing. This book was released on 2010-09-29 with total page 723 pages. Available in PDF, EPUB and Kindle. Book excerpt: Using Excel 2010, it's possible to create breathtaking charts, graphs, and other data visualizations - and communicate even the most complex data more effectively than ever before. In Charts and Graphs, one of the world's leading Excel experts show exactly how to make the most of Excel 2010's unprecedented visual features. Bill Jelen ("MrExcel") explains exactly when and how to use each type of Excel chart, then walks through creating superb visuals and customizing them with themes, colors, and effects. Jelen shows how to craft charts that illuminate trends, differences, and relationships; how to create stock analysis charts; how to use Excel's flexible PivotCharts; and even how to present data on maps with Microsoft MapPoint. You will discover how to make the most of Excel 2010's new Sparklines and other in-cell visualizations; how to incorporate additional images and shapes with SmartArt; how to export charts for use outside of Excel; and how to generate dynamic, customized charts automatically with Excel VBA. There's even a full chapter on assessing the truth of charts created in Excel - and recognizing when someone's trying to lie to you! This book is part of the new MrExcel Library series. Everything Excel users need to know to communicate visually - from trend analysis to stock charting, geographical mapping to Excel 2010's new In-Cell Data Bars and Sparklines From basic through leading-edge techniques - including the automatic generation of custom charts with VBA Part of the brand-new MrExcel Library series, edited by Excel legend Bill Jelen
Book Synopsis Probability and Statistics with R by : Maria Dolores Ugarte
Download or read book Probability and Statistics with R written by Maria Dolores Ugarte and published by CRC Press. This book was released on 2015-07-21 with total page 967 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the popular first edition, the contributed R packages on CRAN have increased from around 1,000 to over 6,000. This second edition explores how some of these new packages make analysis easier and more intuitive as well as create more visually pleasing graphs. Along with adding new examples and exercises, this edition improves the existing examples, problems, concepts, data, and functions. Data sets, R functions, and more are available online.
Download or read book Graphs and Order written by Ivan Rival and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 798 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the accounts of the principal survey papers presented at GRAPHS and ORDER, held at Banff, Canada from May 18 to May 31, 1984. This conference was supported by grants from the N.A.T.O. Advanced Study Institute programme, the Natural Sciences and Engineering Research Council of Canada and the University of Calgary. We are grateful for all of this considerable support. Almost fifty years ago the first Symposium on Lattice Theory was held in Charlottesville, U.S.A. On that occasion the principal lectures were delivered by G. Birkhoff, O. Ore and M.H. Stone. In those days the theory of ordered sets was thought to be a vigorous relative of group theory. Some twenty-five years ago the Symposium on Partially Ordered Sets and Lattice Theory was held in Monterey, U.S.A. Among the principal speakers at that meeting were R.P. Dilworth, B. Jonsson, A. Tarski and G. Birkhoff. Lattice theory had turned inward: it was concerned primarily with problems about lattices themselves. As a matter of fact the problems that were then posed have, by now, in many instances, been completely solved.
Book Synopsis Stable Networks and Product Graphs by : Tomás Feder
Download or read book Stable Networks and Product Graphs written by Tomás Feder and published by American Mathematical Soc.. This book was released on 1995 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: The structural and algorithmic study of stability in nonexpansive networks is based on a representation of the possible assignments of Boolean values for a network as vertices in a Boolean hypercube under the associated Hamming metric. This global view takes advantage of the median properties of the hypercube, and extends to metric networks, where individual values are now chosen from the finite metric spaces and combined by means of an additive product operation. The relationship between products of metric spaces and products of graphs then establishes a connection between isometric representation in graphs and nonexpansiveness in metric networks.
Book Synopsis Applied Pattern Recognition by : Horst Bunke
Download or read book Applied Pattern Recognition written by Horst Bunke and published by Springer Science & Business Media. This book was released on 2008-04-11 with total page 251 pages. Available in PDF, EPUB and Kindle. Book excerpt: A sharp increase in the computing power of modern computers has triggered the development of powerful algorithms that can analyze complex patterns in large amounts of data within a short time period. Consequently, it has become possible to apply pattern recognition techniques to new tasks. The main goal of this book is to cover some of the latest application domains of pattern recognition while presenting novel techniques that have been developed or customized in those domains.
