Graph Theory: Modeling, Applications And Algorithms

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Publisher : Pearson Education India
ISBN 13 : 9788131717288
Total Pages : 468 pages
Book Rating : 4.7/5 (172 download)

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Book Synopsis Graph Theory: Modeling, Applications And Algorithms by : Agnarsson

Download or read book Graph Theory: Modeling, Applications And Algorithms written by Agnarsson and published by Pearson Education India. This book was released on 2008-09 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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; Covers 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.

Graph Theory

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Publisher : Prentice Hall
ISBN 13 : 9780131565364
Total Pages : 446 pages
Book Rating : 4.5/5 (653 download)

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Book Synopsis Graph Theory by : Geir Agnarsson

Download or read book Graph Theory written by Geir Agnarsson and published by Prentice Hall. This book was released on 2007 with total page 446 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graph Theory

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Publisher : CRC Press
ISBN 13 : 0429779887
Total Pages : 421 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Graph Theory by : Karin R Saoub

Download or read book Graph Theory written by Karin R Saoub and published by CRC Press. This book was released on 2021-03-17 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory: An Introduction to Proofs, Algorithms, and Applications Graph theory is the study of interactions, conflicts, and connections. The relationship between collections of discrete objects can inform us about the overall network in which they reside, and graph theory can provide an avenue for analysis. This text, for the first undergraduate course, will explore major topics in graph theory from both a theoretical and applied viewpoint. Topics will progress from understanding basic terminology, to addressing computational questions, and finally ending with broad theoretical results. Examples and exercises will guide the reader through this progression, with particular care in strengthening proof techniques and written mathematical explanations. Current applications and exploratory exercises are provided to further the reader’s mathematical reasoning and understanding of the relevance of graph theory to the modern world. Features The first chapter introduces graph terminology, mathematical modeling using graphs, and a review of proof techniques featured throughout the book The second chapter investigates three major route problems: eulerian circuits, hamiltonian cycles, and shortest paths. The third chapter focuses entirely on trees – terminology, applications, and theory. Four additional chapters focus around a major graph concept: connectivity, matching, coloring, and planarity. Each chapter brings in a modern application or approach. Hints and Solutions to selected exercises provided at the back of the book. Author Karin R. Saoub is an Associate Professor of Mathematics at Roanoke College in Salem, Virginia. She earned her PhD in mathematics from Arizona State University and BA from Wellesley College. Her research focuses on graph coloring and on-line algorithms applied to tolerance graphs. She is also the author of A Tour Through Graph Theory, published by CRC Press.

Graph Algorithms and Applications 3

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Publisher : World Scientific
ISBN 13 : 9789812796608
Total Pages : 418 pages
Book Rating : 4.7/5 (966 download)

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Book Synopsis Graph Algorithms and Applications 3 by : Giuseppe Liotta

Download or read book Graph Algorithms and Applications 3 written by Giuseppe Liotta and published by World Scientific. This book was released on 2004-01-01 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA) . JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design. Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications. Contents: Triangle-Free Planar Graphs and Segment Intersection Graphs (N de Castro et al.); Traversing Directed Eulerian Mazes (S Bhatt et al.); A Fast Multi-Scale Method for Drawing Large Graphs (D Harel & Y Koren); GRIP: Graph Drawing with Intelligent Placement (P Gajer & S G Kobourov); Graph Drawing in Motion (C Friedrich & P Eades); A 6-Regular Torus Graph Family with Applications to Cellular and Interconnection Networks (M Iridon & D W Matula); and other papers. Readership: Researchers and practitioners in theoretical computer science, computer engineering, and combinatorics and graph theory.

Graph Theory

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Publisher : BoD – Books on Demand
ISBN 13 : 9535137727
Total Pages : 196 pages
Book Rating : 4.5/5 (351 download)

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Book Synopsis Graph Theory by : Beril Sirmacek

Download or read book Graph Theory written by Beril Sirmacek and published by BoD – Books on Demand. This book was released on 2018-01-31 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is prepared as a combination of the manuscripts submitted by respected mathematicians and scientists around the world. As an editor, I truly enjoyed reading each manuscript. Not only will the methods and explanations help you to understand more about graph theory, but I also hope you will find it joyful to discover ways that you can apply graph theory in your scientific field. I believe the book can be read from the beginning to the end at once. However, the book can also be used as a reference guide in order to turn back to it when it is needed. I have to mention that this book assumes the reader to have a basic knowledge about graph theory. The very basics of the theory and terms are not explained at the beginner level. I hope this book will support many applied and research scientists from different scientific fields.

Graph Theory, Combinatorics and Algorithms

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Publisher : Springer Science & Business Media
ISBN 13 : 0387250360
Total Pages : 296 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Graph Theory, Combinatorics and Algorithms by : Martin Charles Golumbic

Download or read book Graph Theory, Combinatorics and Algorithms written by Martin Charles Golumbic and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 with Applications to Algorithms and

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (234 download)

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Book Synopsis Graph Theory with Applications to Algorithms and by : Y. Alavi

Download or read book Graph Theory with Applications to Algorithms and written by Y. Alavi and published by . This book was released on 1985 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Applications of Graph Theory

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Publisher : Institute of Mathematics
ISBN 13 : 1466397098
Total Pages : 34 pages
Book Rating : 4.4/5 (663 download)

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Book Synopsis Applications of Graph Theory by : Ashay Dharwadker

Download or read book Applications of Graph Theory written by Ashay Dharwadker and published by Institute of Mathematics. This book was released on 2007-08-07 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is becoming increasingly significant as it is applied to other areas of mathematics, science and technology. It is being actively used in fields as varied as biochemistry (genomics), electrical engineering (communication networks and coding theory), computer science (algorithms and computation) and operations research (scheduling). The powerful combinatorial methods found in graph theory have also been used to prove fundamental results in other areas of pure mathematics. This book, besides giving a general outlook of these facts, includes new graph theoretical proofs of Fermat’s Little Theorem and the Nielson-Schreier Theorem. New applications to DNA sequencing (the SNP assembly problem) and computer network security (worm propagation) using minimum vertex covers in graphs are discussed. We also show how to apply edge coloring and matching in graphs for scheduling (the timetabling problem) and vertex coloring in graphs for map coloring and the assignment of frequencies in GSM mobile phone networks. Finally, we revisit the classical problem of finding re-entrant knight’s tours on a chessboard using Hamiltonian circuits in graphs.

Graph Theory Applications

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Publisher :
ISBN 13 :
Total Pages : 416 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Graph Theory Applications by : L. R. Foulds

Download or read book Graph Theory Applications written by L. R. Foulds and published by . This book was released on 1992 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text offers an introduction to the theory of graphs and its application in engineering and science. The first part covers the main graph theoretic topics: connectivity, trees, traversability, planarity, coloring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. In the second part, these concepts are applied to problems in engineering, operations reserach, and science as well as to an interesting set of miscellaneous problems, thus iluustrating their broad applicability. Some effort has been made to present applications that use not merely the notation and terminology of graph theory, but its actual mathematical results. Some of the applications, such as in molecular evolution, facilities layout, and graffic network design, have never appeared before in book form. Written at an advanced undergraduate to beginning graduate level, the book is suitable for students of mathematics, engineering, operations resrach, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Handbook of Graph Theory

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Publisher : CRC Press
ISBN 13 : 9780203490204
Total Pages : 1200 pages
Book Rating : 4.4/5 (92 download)

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Book Synopsis Handbook of Graph Theory by : Jonathan L. Gross

Download or read book Handbook of Graph Theory written by Jonathan L. Gross and published by CRC Press. This book was released on 2003-12-29 with total page 1200 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Graphs, Algorithms, and Optimization

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Publisher : CRC Press
ISBN 13 : 135198912X
Total Pages : 504 pages
Book Rating : 4.3/5 (519 download)

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Book Synopsis Graphs, Algorithms, and Optimization by : William Kocay

Download or read book Graphs, Algorithms, and Optimization written by William Kocay and published by CRC Press. This book was released on 2017-09-20 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Graphs, Dioids and Semirings

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Publisher : Springer Science & Business Media
ISBN 13 : 0387754504
Total Pages : 401 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Graphs, Dioids and Semirings by : Michel Gondran

Download or read book Graphs, Dioids and Semirings written by Michel Gondran and published by Springer Science & Business Media. This book was released on 2008-05-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The primary objective of this essential text is to emphasize the deep relations existing between the semiring and dioïd structures with graphs and their combinatorial properties. It does so at the same time as demonstrating the modeling and problem-solving flexibility of these structures. In addition the book provides an extensive overview of the mathematical properties employed by "nonclassical" algebraic structures which either extend usual algebra or form a new branch of it.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

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Publisher : CRC Press
ISBN 13 : 1420011073
Total Pages : 1217 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by : Krishnaiyan "KT" Thulasiraman

Download or read book Handbook of Graph Theory, Combinatorial Optimization, and Algorithms written by Krishnaiyan "KT" Thulasiraman and published by CRC Press. This book was released on 2016-01-05 with total page 1217 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fusion between graph theory and combinatorial optimization has led to theoretically profound and practically useful algorithms, yet there is no book that currently covers both areas together. Handbook of Graph Theory, Combinatorial Optimization, and Algorithms is the first to present a unified, comprehensive treatment of both graph theory and c

Graph Theory and Its Applications

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Publisher : CRC Press
ISBN 13 : 0429757093
Total Pages : 577 pages
Book Rating : 4.4/5 (297 download)

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Book Synopsis Graph Theory and Its Applications by : Jonathan L. Gross

Download or read book Graph Theory and Its Applications written by Jonathan L. Gross and published by CRC Press. This book was released on 2018-11-05 with total page 577 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph Theory and Its Applications, Third Edition is the latest edition of the international, bestselling textbook for undergraduate courses in graph theory, yet it is expansive enough to be used for graduate courses as well. The textbook takes a comprehensive, accessible approach to graph theory, integrating careful exposition of classical developments with emerging methods, models, and practical needs. The authors’ unparalleled treatment is an ideal text for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology. Features of the Third Edition Expanded coverage on several topics (e.g., applications of graph coloring and tree-decompositions) Provides better coverage of algorithms and algebraic and topological graph theory than any other text Incorporates several levels of carefully designed exercises that promote student retention and develop and sharpen problem-solving skills Includes supplementary exercises to develop problem-solving skills, solutions and hints, and a detailed appendix, which reviews the textbook’s topics About the Authors Jonathan L. Gross is a professor of computer science at Columbia University. His research interests include topology and graph theory. Jay Yellen is a professor of mathematics at Rollins College. His current areas of research include graph theory, combinatorics, and algorithms. Mark Anderson is also a mathematics professor at Rollins College. His research interest in graph theory centers on the topological or algebraic side.

Graph Theory and Its Applications, Second Edition

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Publisher : CRC Press
ISBN 13 : 158488505X
Total Pages : 799 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Graph Theory and Its Applications, Second Edition by : Jonathan L. Gross

Download or read book Graph Theory and Its Applications, Second Edition written by Jonathan L. Gross and published by CRC Press. This book was released on 2005-09-22 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.

Recent Applications in Graph Theory

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Publisher : BoD – Books on Demand
ISBN 13 : 1839695269
Total Pages : 113 pages
Book Rating : 4.8/5 (396 download)

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Book Synopsis Recent Applications in Graph Theory by : Harun Pirim

Download or read book Recent Applications in Graph Theory written by Harun Pirim and published by BoD – Books on Demand. This book was released on 2022-05-18 with total page 113 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory, being a rigorously investigated field of combinatorial mathematics, is adopted by a wide variety of disciplines addressing a plethora of real-world applications. Advances in graph algorithms and software implementations have made graph theory accessible to a larger community of interest. Ever-increasing interest in machine learning and model deployments for network data demands a coherent selection of topics rewarding a fresh, up-to-date summary of the theory and fruitful applications to probe further. This volume is a small yet unique contribution to graph theory applications and modeling with graphs. The subjects discussed include information hiding using graphs, dynamic graph-based systems to model and control cyber-physical systems, graph reconstruction, average distance neighborhood graphs, and pure and mixed-integer linear programming formulations to cluster networks.

Applications of Graph Theory Algorithms

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Publisher :
ISBN 13 :
Total Pages : 395 pages
Book Rating : 4.:/5 (316 download)

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Book Synopsis Applications of Graph Theory Algorithms by : Vinod Chachra

Download or read book Applications of Graph Theory Algorithms written by Vinod Chachra and published by . This book was released on 1977 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: