Topics In Algorithmic Graph Theory

Author : Lowell W. Beineke,Martin Charles Golumbic,Robin J. Wilson
Publisher : Cambridge University Press
Page : 380 pages
File Size : 48,6 Mb
Release : 2021-05-31
Category : Mathematics
ISBN : 1108492606

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Topics in Algorithmic Graph Theory by Lowell W. Beineke,Martin Charles Golumbic,Robin J. Wilson Pdf

Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.

Author : Martin Charles Golumbic
Publisher : Elsevier
Page : 307 pages
File Size : 46,7 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483271972

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Algorithmic Graph Theory and Perfect Graphs by Martin Charles Golumbic Pdf

Algorithmic Graph Theory and Perfect Graphs provides an introduction to graph theory through practical problems. This book presents the mathematical and algorithmic properties of special classes of perfect graphs. Organized into 12 chapters, this book begins with an overview of the graph theoretic notions and the algorithmic design. This text then examines the complexity analysis of computer algorithm and explains the differences between computability and computational complexity. Other chapters consider the parameters and properties of a perfect graph and explore the class of perfect graphs known as comparability graph or transitively orientable graphs. This book discusses as well the two characterizations of triangulated graphs, one algorithmic and the other graph theoretic. The final chapter deals with the method of performing Gaussian elimination on a sparse matrix wherein an arbitrary choice of pivots may result in the filling of some zero positions with nonzeros. This book is a valuable resource for mathematicians and computer scientists.

Author : Alan Gibbons
Publisher : Cambridge University Press
Page : 280 pages
File Size : 40,6 Mb
Release : 1985-06-27
Category : Computers
ISBN : 0521288819

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Algorithmic Graph Theory by Alan Gibbons Pdf

An introduction to pure and applied graph theory with an emphasis on algorithms and their complexity.

Author : Y. Alavi
Publisher : Wiley-Interscience
Page : 842 pages
File Size : 46,9 Mb
Release : 1985-10-02
Category : Mathematics
ISBN : UCSD:31822002074284

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Graph Theory with Applications to Algorithms and Computer Science by Y. Alavi Pdf

An applications-oriented text detailing the latest research in graph theory and computer science. Leading contributors cover such important topics as: tiling problems and graph factors; partitioning the nodes of a graph; diameter vulnerability in networks; edge-disjoint Hamiltonian cycles; the cochromatic number of graphs in a switching sequence; and more.

Author : William Kocay,Donald L. Kreher
Publisher : CRC Press
Page : 512 pages
File Size : 50,5 Mb
Release : 2004-11-29
Category : Mathematics
ISBN : 0203489055

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Graphs, Algorithms, and Optimization by William Kocay,Donald L. Kreher Pdf

Graph theory offers a rich source of problems and techniques for programming and data structure development, as well as for understanding computing theory, including NP-Completeness and polynomial reduction. A comprehensive text, Graphs, Algorithms, and Optimization features clear exposition on modern algorithmic graph theory presented in a rigorous yet approachable way. The book covers major areas of graph theory including discrete optimization and its connection to graph algorithms. The authors explore surface topology from an intuitive point of view and include detailed discussions on linear programming that emphasize graph theory problems useful in mathematics and computer science. Many algorithms are provided along with the data structure needed to program the algorithms efficiently. The book also provides coverage on algorithm complexity and efficiency, NP-completeness, linear optimization, and linear programming and its relationship to graph algorithms. Written in an accessible and informal style, this work covers nearly all areas of graph theory. Graphs, Algorithms, and Optimization provides a modern discussion of graph theory applicable to mathematics, computer science, and crossover applications.

Author : Jonathan L. Gross,Jay Yellen
Publisher : CRC Press
Page : 1200 pages
File Size : 52,7 Mb
Release : 2003-12-29
Category : Computers
ISBN : 0203490207

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Handbook of Graph Theory by Jonathan L. Gross,Jay Yellen Pdf

The Handbook of Graph Theory is the most comprehensive single-source guide to graph theory ever published. Best-selling authors Jonathan Gross and Jay Yellen assembled an outstanding team of experts to contribute overviews of more than 50 of the most significant topics in graph theory-including those related to algorithmic and optimization approach

Author : Martin C. Golumbic
Publisher : Unknown
Page : 284 pages
File Size : 53,6 Mb
Release : 1988
Category : Electronic
ISBN : OCLC:1067576495

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Algorithmic graph theory and perfect graphs by Martin C. Golumbic Pdf

Author : Gary Chartrand,Ortrud R. Oellermann
Publisher : McGraw-Hill Companies
Page : 424 pages
File Size : 43,9 Mb
Release : 1993
Category : Mathematics
ISBN : UCSC:32106010895685

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Applied and Algorithmic Graph Theory by Gary Chartrand,Ortrud R. Oellermann Pdf

Designed as a bridge to cross the gap between mathematics and computer science, and planned as the mathematics base for computer science students, this maths text is designed to help the student develop an understanding of the concept of an efficient algorithm.

Author : Bill Jackson
Publisher : Unknown
Page : 88 pages
File Size : 52,5 Mb
Release : 1994-01-01
Category : Algorithms
ISBN : 0718711998

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Algorithmic Graph Theory by Bill Jackson Pdf

Author : Wilfried Imrich,Sandi Klavzar,Douglas F Rall
Publisher : CRC Press
Page : 219 pages
File Size : 52,6 Mb
Release : 2008-10-27
Category : Mathematics
ISBN : 9781439865330

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Topics in Graph Theory by Wilfried Imrich,Sandi Klavzar,Douglas F Rall Pdf

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 : K. Erciyes
Publisher : Springer Nature
Page : 229 pages
File Size : 52,6 Mb
Release : 2021-11-17
Category : Computers
ISBN : 9783030878863

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Algebraic Graph Algorithms by K. Erciyes Pdf

This textbook discusses the design and implementation of basic algebraic graph algorithms, and algebraic graph algorithms for complex networks, employing matroids whenever possible. The text describes the design of a simple parallel matrix algorithm kernel that can be used for parallel processing of algebraic graph algorithms. Example code is presented in pseudocode, together with case studies in Python and MPI. The text assumes readers have a background in graph theory and/or graph algorithms.

Author : Kayhan Erciyes
Publisher : Springer Science & Business Media
Page : 328 pages
File Size : 52,8 Mb
Release : 2013-05-16
Category : Computers
ISBN : 9781447151739

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Distributed Graph Algorithms for Computer Networks by Kayhan Erciyes Pdf

This book presents a comprehensive review of key distributed graph algorithms for computer network applications, with a particular emphasis on practical implementation. Topics and features: introduces a range of fundamental graph algorithms, covering spanning trees, graph traversal algorithms, routing algorithms, and self-stabilization; reviews graph-theoretical distributed approximation algorithms with applications in ad hoc wireless networks; describes in detail the implementation of each algorithm, with extensive use of supporting examples, and discusses their concrete network applications; examines key graph-theoretical algorithm concepts, such as dominating sets, and parameters for mobility and energy levels of nodes in wireless ad hoc networks, and provides a contemporary survey of each topic; presents a simple simulator, developed to run distributed algorithms; provides practical exercises at the end of each chapter.

Author : Jonathan L. Gross,Jay Yellen,Ping Zhang
Publisher : CRC Press
Page : 1634 pages
File Size : 40,5 Mb
Release : 2013-12-17
Category : Mathematics
ISBN : 9781439880180

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Handbook of Graph Theory, Second Edition by Jonathan L. Gross,Jay Yellen,Ping Zhang Pdf

In the ten years since the publication of the best-selling first edition, more than 1,000 graph theory papers have been published each year. Reflecting these advances, Handbook of Graph Theory, Second Edition provides comprehensive coverage of the main topics in pure and applied graph theory. This second edition—over 400 pages longer than its predecessor—incorporates 14 new sections. Each chapter includes lists of essential definitions and facts, accompanied by examples, tables, remarks, and, in some cases, conjectures and open problems. A bibliography at the end of each chapter provides an extensive guide to the research literature and pointers to monographs. In addition, a glossary is included in each chapter as well as at the end of each section. This edition also contains notes regarding terminology and notation. With 34 new contributors, this handbook is the most comprehensive single-source guide to graph theory. It emphasizes quick accessibility to topics for non-experts and enables easy cross-referencing among chapters.

Author : James A. McHugh
Publisher : Prentice Hall
Page : 327 pages
File Size : 46,5 Mb
Release : 1990
Category : Graph theory
ISBN : 0130190926

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Algorithmic Graph Theory by James A. McHugh Pdf

Author : Jaroslav Nešetřil,Patrice Ossona de Mendez
Publisher : Springer Science & Business Media
Page : 472 pages
File Size : 49,8 Mb
Release : 2012-04-24
Category : Mathematics
ISBN : 9783642278754

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Sparsity by Jaroslav Nešetřil,Patrice Ossona de Mendez Pdf

This is the first book devoted to the systematic study of sparse graphs and sparse finite structures. Although the notion of sparsity appears in various contexts and is a typical example of a hard to define notion, the authors devised an unifying classification of general classes of structures. This approach is very robust and it has many remarkable properties. For example the classification is expressible in many different ways involving most extremal combinatorial invariants. This study of sparse structures found applications in such diverse areas as algorithmic graph theory, complexity of algorithms, property testing, descriptive complexity and mathematical logic (homomorphism preservation,fixed parameter tractability and constraint satisfaction problems). It should be stressed that despite of its generality this approach leads to linear (and nearly linear) algorithms. Jaroslav Nešetřil is a professor at Charles University, Prague; Patrice Ossona de Mendez is a CNRS researcher et EHESS, Paris. This book is related to the material presented by the first author at ICM 2010.