Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Graphs and Cubes PDF full book. Access full book title Graphs and Cubes by Sergei Ovchinnikov. Download full books in PDF and EPUB format.
Author: Sergei Ovchinnikov Publisher: Springer Science & Business Media ISBN: 1461407974 Category : Mathematics Languages : en Pages : 295
Book Description
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.
Author: Sergei Ovchinnikov Publisher: Springer Science & Business Media ISBN: 1461407974 Category : Mathematics Languages : en Pages : 295
Book Description
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.
Author: Rainer Bodendiek Publisher: Springer Science & Business Media ISBN: 3642469086 Category : Mathematics Languages : en Pages : 769
Book Description
Graph Theory is a part of discrete mathematics characterized by the fact of an extremely rapid development during the last 10 years. The number of graph theoretical paper as well as the number of graph theorists increase very strongly. The main purpose of this book is to show the reader the variety of graph theoretical methods and the relation to combinatorics and to give him a survey on a lot of new results, special methods, and interesting informations. This book, which grew out of contributions given by about 130 authors in honour to the 70th birthday of Gerhard Ringel, one of the pioneers in graph theory, is meant to serve as a source of open problems, reference and guide to the extensive literature and as stimulant to further research on graph theory and combinatorics.
Author: Wilfried Imrich Publisher: CRC Press ISBN: 1439865337 Category : Mathematics Languages : en Pages : 219
Book Description
From specialists in the field, you will learn about interesting connections and recent developments in the field of graph theory by looking in particular at Cartesian products-arguably the most important of the four standard graph products. Many new results in this area appear for the first time in print in this book. Written in an accessible way,
Author: Walter Didimo Publisher: Springer ISBN: 3642367631 Category : Computers Languages : en Pages : 596
Book Description
This book constitutes the thoroughly refereed post-conference proceedings of the 20th International Symposium on Graph Drawing, GD 2012, held in Redmond, WA, USA, in September 2012. The 42 revised full papers presented together with 4 revised short papers and 8 poster descriptions were carefully reviewed and selected from 92 submissions. They cover a wide range of topics in two main tracks: combinatorial and algorithmic aspects, and visualization systems and interfaces. In addition, reports of the 19th Annual Graph Drawing Contest, which was held during the conference, and of a workshop on theory and practice of graph drawing to celebrate Professor Peter Eades' 60th birthday are included in the volume.
Author: Wilfried Imrich Publisher: Wiley-Interscience ISBN: Category : Mathematics Languages : en Pages : 384
Book Description
A comprehensive introduction to the four standard products of graphs and related topics Addressing the growing usefulness of current methods for recognizing product graphs, this new work presents a much-needed, systematic treatment of the Cartesian, strong, direct, and lexicographic products of graphs as well as graphs isometrically embedded into them. Written by two leading experts in this rapidly evolving area of combinatorics, Product Graphs: Structure and Recognition compiles and consolidates a wealth of information previously scattered throughout the literature, providing researchers in the field with ready access to numerous recent results as well as several new recognition algorithms and proofs. The authors explain all topics from the ground up and make the requisite theory and data structures easily accessible for mathematicians and computer scientists alike. Coverage includes * The basic algebraic and combinatorial properties ofproduct graph * Hypercubes, median graphs, Hamming graphs, triangle-free graphs, and vertex-transitive graphs * Colorings, automorphisms, homorphisms, domination, and the capacity of products of graphs Sample applications, including novel applications to chemical graph theory Clear connections to other areas of graph theory Figures, exercises, and hundreds of references
Author: Joan M. Aldous Publisher: Springer Science & Business Media ISBN: 9781852332594 Category : Mathematics Languages : en Pages : 502
Book Description
Discrete Mathematics is one of the fastest growing areas in mathematics today with an ever-increasing number of courses in schools and universities. Graphs and Applications is based on a highly successful Open University course and the authors have paid particular attention to the presentation, clarity and arrangement of the material, making it ideally suited for independent study and classroom use. Includes a large number of examples, problems and exercises.
Author: Christian Duncan Publisher: Springer ISBN: 3662458039 Category : Computers Languages : en Pages : 548
Book Description
This book constitutes the proceedings of the 22nd International Symposium on Graph Drawing, GD 2014, held in Würzburg, Germany, in September 2014. The 41 full papers presented in this volume were carefully reviewed and selected from 72 submissions. The back matter of the book also contains 2 page poster papers presented at the conference. The contributions are organized in topical sections named: planar subgraphs; simultaneous embeddings; applications; contact representations; k-planar graphs; crossing minimization; level drawings; theory; fixed edge directions; drawing under constraints; clustered planarity; and greedy graphs.
Author: Richard Hammack Publisher: CRC Press ISBN: 1439813051 Category : Computers Languages : en Pages : 537
Book Description
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.
Author: Michael Kaufmann Publisher: Springer Science & Business Media ISBN: 3540709037 Category : Computers Languages : en Pages : 466
Book Description
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.
Author: Sergei Ovchinnikov
Author: Sergei Ovchinnikov
Author: Rainer Bodendiek
Author: Wilfried Imrich
Author: Walter Didimo
Author: Wilfried Imrich
Author: Joan M. Aldous
Author: Christian Duncan
Author: Richard Hammack
Author: Michael Kaufmann
Author: Alan Frieze