Algorithmic Graph Theory

Algorithmic Graph Theory
Title Algorithmic Graph Theory PDF eBook
Author Alan Gibbons
Publisher Cambridge University Press
Pages 280
Release 1985-06-27
Genre Computers
ISBN 9780521288811

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

Applied and Algorithmic Graph Theory

Applied and Algorithmic Graph Theory
Title Applied and Algorithmic Graph Theory PDF eBook
Author Gary Chartrand
Publisher McGraw-Hill Companies
Pages 424
Release 1993
Genre Mathematics
ISBN

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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.

Algorithmic Graph Theory and Perfect Graphs

Algorithmic Graph Theory and Perfect Graphs
Title Algorithmic Graph Theory and Perfect Graphs PDF eBook
Author Martin Charles Golumbic
Publisher Elsevier
Pages 307
Release 2014-05-10
Genre Mathematics
ISBN 1483271978

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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.

Topics in Algorithmic Graph Theory

Topics in Algorithmic Graph Theory
Title Topics in Algorithmic Graph Theory PDF eBook
Author Lowell W. Beineke
Publisher Cambridge University Press
Pages 400
Release 2021-06-03
Genre Mathematics
ISBN 1108671071

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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.

Graph Theory, Combinatorics and Algorithms

Graph Theory, Combinatorics and Algorithms
Title Graph Theory, Combinatorics and Algorithms PDF eBook
Author Martin Charles Golumbic
Publisher Springer Science & Business Media
Pages 296
Release 2006-03-30
Genre Mathematics
ISBN 0387250360

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Graph Theory, Combinatorics and Algorithms: Interdisciplinary Applications focuses on discrete mathematics and combinatorial algorithms interacting with real world problems in computer science, operations research, applied mathematics and engineering. The book contains eleven chapters written by experts in their respective fields, and covers a wide spectrum of high-interest problems across these discipline domains. Among the contributing authors are Richard Karp of UC Berkeley and Robert Tarjan of Princeton; both are at the pinnacle of research scholarship in Graph Theory and Combinatorics. The chapters from the contributing authors focus on "real world" applications, all of which will be of considerable interest across the areas of Operations Research, Computer Science, Applied Mathematics, and Engineering. These problems include Internet congestion control, high-speed communication networks, multi-object auctions, resource allocation, software testing, data structures, etc. In sum, this is a book focused on major, contemporary problems, written by the top research scholars in the field, using cutting-edge mathematical and computational techniques.

Graph Theory

Graph Theory
Title Graph Theory PDF eBook
Author Geir Agnarsson
Publisher Pearson
Pages 472
Release 2007
Genre Mathematics
ISBN

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For junior- to senior-level courses in Graph Theory taken by majors in Mathematics, Computer Science, or Engineering or for beginning-level graduate courses. Once considered an "unimportant" branch of topology, graph theory has come into its own through many important contributions to a wide range of fields -- and is now one of the fastest-growing areas in discrete mathematics and computer science. This new text introduces basic concepts, definitions, theorems, and examples from graph theory. The authors present a collection of interesting results from mathematics that involve key concepts and proof techniques; cover design and analysis of computer algorithms for solving problems in graph theory; and discuss applications of graph theory to the sciences. It is mathematically rigorous, but also practical, intuitive, and algorithmic.

Graphs, Networks and Algorithms

Graphs, Networks and Algorithms
Title Graphs, Networks and Algorithms PDF eBook
Author Dieter Jungnickel
Publisher Springer Science & Business Media
Pages 597
Release 2013-06-29
Genre Mathematics
ISBN 3662038226

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Revised throughout Includes new chapters on the network simplex algorithm and a section on the five color theorem Recent developments are discussed