Graph Theory In Operations Research

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Graph Theory for Operations Research and Management: Applications in Industrial Engineering

Author : Farahani, Reza Zanjirani
Publisher : IGI Global
ISBN 13 : 1466626925
Total Pages : 367 pages
Book Rating : 4.4/5 (666 download)

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Book Synopsis Graph Theory for Operations Research and Management: Applications in Industrial Engineering by : Farahani, Reza Zanjirani

Download or read book Graph Theory for Operations Research and Management: Applications in Industrial Engineering written by Farahani, Reza Zanjirani and published by IGI Global. This book was released on 2012-12-31 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: While typically many approaches have been mainly mathematics focused, graph theory has become a tool used by scientists, researchers, and engineers in using modeling techniques to solve real-world problems. Graph Theory for Operations Research and Management: Applications in Industrial Engineering presents traditional and contemporary applications of graph theory in the areas of industrial engineering, management science, and applied operations research. This comprehensive collection of research introduces the useful basic concepts of graph theory in real world applications.

Graph Theory in Operations Research

Author : T. B. Boffey
Publisher : Scholium International
ISBN 13 :
Total Pages : 320 pages
Book Rating : 4.:/5 (43 download)

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Book Synopsis Graph Theory in Operations Research by : T. B. Boffey

Download or read book Graph Theory in Operations Research written by T. B. Boffey and published by Scholium International. This book was released on 1982 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: Textbook on network analysis and graph theory in operational research - intended for advanced students of computer science and transport studies, covers methodologys for solving shortest route and location problems, flow in distribution networks, heuristic mathematical models, linear programming, etc. Bibliography pp. 288 to 297 and illustrations.

Graph Theory Applications

Author : L.R. Foulds
Publisher : Springer Science & Business Media
ISBN 13 : 1461209331
Total Pages : 389 pages
Book Rating : 4.4/5 (612 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 Springer Science & Business Media. This book was released on 2012-12-06 with total page 389 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first part of this text covers the main graph theoretic topics: connectivity, trees, traversability, planarity, colouring, covering, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. These concepts are then applied in the second part to problems in engineering, operations research, and science as well as to an interesting set of miscellaneous problems, thus illustrating their broad applicability. Every effort has been made to present applications that use not merely the notation and terminology of graph theory, but also 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, this book is suitable for students of mathematics, engineering, operations research, computer science, and physical sciences as well as for researchers and practitioners with an interest in graph theoretic modelling.

Introduction to the Mathematics of Operations Research with Mathematica®

Author : Kevin J. Hastings
Publisher : CRC Press
ISBN 13 : 142001739X
Total Pages : 588 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Introduction to the Mathematics of Operations Research with Mathematica® by : Kevin J. Hastings

Download or read book Introduction to the Mathematics of Operations Research with Mathematica® written by Kevin J. Hastings and published by CRC Press. This book was released on 2018-10-24 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: The breadth of information about operations research and the overwhelming size of previous sources on the subject make it a difficult topic for non-specialists to grasp. Fortunately, Introduction to the Mathematics of Operations Research with Mathematica®, Second Edition delivers a concise analysis that benefits professionals in operations research and related fields in statistics, management, applied mathematics, and finance. The second edition retains the character of the earlier version, while incorporating developments in the sphere of operations research, technology, and mathematics pedagogy. Covering the topics crucial to applied mathematics, it examines graph theory, linear programming, stochastic processes, and dynamic programming. This self-contained text includes an accompanying electronic version and a package of useful commands. The electronic version is in the form of Mathematica notebooks, enabling you to devise, edit, and execute/reexecute commands, increasing your level of comprehension and problem-solving. Mathematica sharpens the impact of this book by allowing you to conveniently carry out graph algorithms, experiment with large powers of adjacency matrices in order to check the path counting theorem and Markov chains, construct feasible regions of linear programming problems, and use the "dictionary" method to solve these problems. You can also create simulators for Markov chains, Poisson processes, and Brownian motions in Mathematica, increasing your understanding of the defining conditions of these processes. Among many other benefits, Mathematica also promotes recursive solutions for problems related to first passage times and absorption probabilities.

Graphs, Dioids and Semirings

Author : Michel Gondran
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.

Introduction to Graph Theory

Author : Koh Khee Meng
Publisher : World Scientific Publishing Company
ISBN 13 : 9813101636
Total Pages : 244 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Introduction to Graph Theory by : Koh Khee Meng

Download or read book Introduction to Graph Theory written by Koh Khee Meng and published by World Scientific Publishing Company. This book was released on 2007-03-15 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is an area in discrete mathematics which studies configurations (called graphs) involving a set of vertices interconnected by edges. This book is intended as a general introduction to graph theory and, in particular, as a resource book for junior college students and teachers reading and teaching the subject at H3 Level in the new Singapore mathematics curriculum for junior college. The book builds on the verity that graph theory at this level is a subject that lends itself well to the development of mathematical reasoning and proof.

Graph Theory and Combinatorial Optimization

Author : David Avis
Publisher : Springer Science & Business Media
ISBN 13 : 0387255923
Total Pages : 273 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Graph Theory and Combinatorial Optimization by : David Avis

Download or read book Graph Theory and Combinatorial Optimization written by David Avis and published by Springer Science & Business Media. This book was released on 2005-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.

Graph Theory, Combinatorics and Algorithms

Author : Martin Charles Golumbic
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.

Applications of Graph Theory

Author : Ashay Dharwadker
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.

Algebraic and Combinatorial Methods in Operations Research

Author : R.E. Burkard
Publisher : Elsevier
ISBN 13 : 9780080872063
Total Pages : 380 pages
Book Rating : 4.8/5 (72 download)

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Book Synopsis Algebraic and Combinatorial Methods in Operations Research by : R.E. Burkard

Download or read book Algebraic and Combinatorial Methods in Operations Research written by R.E. Burkard and published by Elsevier. This book was released on 1984-01-01 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the first time, this book unites different algebraic approaches for discrete optimization and operations research. The presentation of some fundamental directions of this new fast developing area shows the wide range of its applicability. Specifically, the book contains contributions in the following fields: semigroup and semiring theory applied to combinatorial and integer programming, network flow theory in ordered algebraic structures, extremal optimization problems, decomposition principles for discrete structures, Boolean methods in graph theory and applications.

Graph Theory and Its Applications, Second Edition

Author : Jonathan L. Gross
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.

Graph Theory and Combinatorial Optimization

Author : David Avis
Publisher : Springer Science & Business Media
ISBN 13 : 9780387255910
Total Pages : 286 pages
Book Rating : 4.2/5 (559 download)

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Book Synopsis Graph Theory and Combinatorial Optimization by : David Avis

Download or read book Graph Theory and Combinatorial Optimization written by David Avis and published by Springer Science & Business Media. This book was released on 2005-04-28 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graph theory is very much tied to the geometric properties of optimization and combinatorial optimization. Moreover, graph theory's geometric properties are at the core of many research interests in operations research and applied mathematics. Its techniques have been used in solving many classical problems including maximum flow problems, independent set problems, and the traveling salesman problem. Graph Theory and Combinatorial Optimization explores the field's classical foundations and its developing theories, ideas and applications to new problems. The book examines the geometric properties of graph theory and its widening uses in combinatorial optimization theory and application. The field's leading researchers have contributed chapters in their areas of expertise.

Mathematical Optimization Theory and Operations Research

Author : Panos Pardalos
Publisher : Springer Nature
ISBN 13 : 3030778762
Total Pages : 510 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Mathematical Optimization Theory and Operations Research by : Panos Pardalos

Download or read book Mathematical Optimization Theory and Operations Research written by Panos Pardalos and published by Springer Nature. This book was released on 2021-06-14 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 20th International Conference on Mathematical Optimization Theory and Operations Research, MOTOR 2021, held in Irkutsk, Russia, in July 2021. The 29 full papers and 1 short paper presented in this volume were carefully reviewed and selected from 102 submissions. Additionally, 2 full invited papers are presented in the volume. The papers are grouped in the following topical sections: combinatorial optimization; mathematical programming; bilevel optimization; scheduling problems; game theory and optimal control; operational research and mathematical economics; data analysis.

Graph Theory with Algorithms and its Applications

Author : Santanu Saha Ray
Publisher : Springer Science & Business Media
ISBN 13 : 8132207505
Total Pages : 223 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Graph Theory with Algorithms and its Applications by : Santanu Saha Ray

Download or read book Graph Theory with Algorithms and its Applications written by Santanu Saha Ray and published by Springer Science & Business Media. This book was released on 2012-11-02 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book has many important features which make it suitable for both undergraduate and postgraduate students in various branches of engineering and general and applied sciences. The important topics interrelating Mathematics & Computer Science are also covered briefly. The book is useful to readers with a wide range of backgrounds including Mathematics, Computer Science/Computer Applications and Operational Research. While dealing with theorems and algorithms, emphasis is laid on constructions which consist of formal proofs, examples with applications. Uptill, there is scarcity of books in the open literature which cover all the things including most importantly various algorithms and applications with examples.

Applied Graph Theory

Author : Clifford W. Marshall
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 346 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Applied Graph Theory by : Clifford W. Marshall

Download or read book Applied Graph Theory written by Clifford W. Marshall and published by John Wiley & Sons. This book was released on 1971 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic concepts. Basic definitions of linear graphs. Edge sequenses and conectedness. Matrix representation of graphs. special graphs and subgraphs. Connectivity and independence in graphs. Planar graphs. Definitions and concepts of planar graphs. Straight line representation of planar graphs. Criteria for planar graphs. Determination of planarity. Hamilton graphs. Definitions and basic concepts. Cubical graphs. Additional results on Hamilton graphs. Graph coloring. Combinatorial theory. Radom graphs. Application in operations research. Applications in social science and psychology. Applications in physics.

Research Topics in Graph Theory and Its Applications

Author : Vadim Zverovich
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527536289
Total Pages : 309 pages
Book Rating : 4.5/5 (275 download)

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Book Synopsis Research Topics in Graph Theory and Its Applications by : Vadim Zverovich

Download or read book Research Topics in Graph Theory and Its Applications written by Vadim Zverovich and published by Cambridge Scholars Publishing. This book was released on 2019-06-24 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.

Topics in Graph Theory

Author : Jonathan L Gross
Publisher : CRC Press
ISBN 13 : 1000884082
Total Pages : 904 pages
Book Rating : 4.0/5 (8 download)

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Book Synopsis Topics in Graph Theory by : Jonathan L Gross

Download or read book Topics in Graph Theory written by Jonathan L Gross and published by CRC Press. This book was released on 2023-05-24 with total page 904 pages. Available in PDF, EPUB and Kindle. Book excerpt: The interplay continues to grow between graph theory and a wide variety of models and applications in mathematics, computer science, operations research, and the natural and social sciences. Topics in Graph Theory is geared toward the more mathematically mature student. The first three chapters provide the basic definitions and theorems of graph theory and the remaining chapters introduce a variety of topics and directions for research. These topics draw on numerous areas of theoretical and applied mathematics, including combinatorics, probability, linear algebra, group theory, topology, operations research, and computer science. This makes the book appropriate for a first course at the graduate level or as a second course at the undergraduate level. The authors build upon material previously published in Graph Theory and Its Applications, Third Edition, by the same authors. That text covers material for both an undergraduate and graduate course, while this book builds on and expands the graduate-level material. Features Extensive exercises and applications. Flexibility: appropriate for either a first course at the graduate level or an advanced course at the undergraduate level. Opens avenues to a variety of research areas in graph theory. Emphasis on topological and algebraic graph theory.