Basic Graph Theory

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Basic Graph Theory

Author : Md. Saidur Rahman
Publisher : Springer
ISBN 13 : 3319494759
Total Pages : 169 pages
Book Rating : 4.3/5 (194 download)

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Book Synopsis Basic Graph Theory by : Md. Saidur Rahman

Download or read book Basic Graph Theory written by Md. Saidur Rahman and published by Springer. This book was released on 2017-05-02 with total page 169 pages. Available in PDF, EPUB and Kindle. Book excerpt: This undergraduate textbook provides an introduction to graph theory, which has numerous applications in modeling problems in science and technology, and has become a vital component to computer science, computer science and engineering, and mathematics curricula of universities all over the world. The author follows a methodical and easy to understand approach. Beginning with the historical background, motivation and applications of graph theory, the author first explains basic graph theoretic terminologies. From this firm foundation, the author goes on to present paths, cycles, connectivity, trees, matchings, coverings, planar graphs, graph coloring and digraphs as well as some special classes of graphs together with some research topics for advanced study. Filled with exercises and illustrations, Basic Graph Theory is a valuable resource for any undergraduate student to understand and gain confidence in graph theory and its applications to scientific research, algorithms and problem solving.

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, 1736-1936

Author : Norman Biggs
Publisher : Oxford University Press
ISBN 13 : 9780198539162
Total Pages : 260 pages
Book Rating : 4.5/5 (391 download)

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Book Synopsis Graph Theory, 1736-1936 by : Norman Biggs

Download or read book Graph Theory, 1736-1936 written by Norman Biggs and published by Oxford University Press. This book was released on 1986 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: First published in 1976, this book has been widely acclaimed as a major and enlivening contribution to the history of mathematics. The updated and corrected paperback contains extracts from the original writings of mathematicians who contributed to the foundations of graph theory. The author's commentary links each piece historically and frames the whole with explanations of the relevant mathematical terminology and notation.

Graph Theory

Author : Karin R Saoub
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 Theory with Applications to Engineering and Computer Science

Author : Narsingh Deo
Publisher : PHI Learning Pvt. Ltd.
ISBN 13 : 9788120301450
Total Pages : 478 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis Graph Theory with Applications to Engineering and Computer Science by : Narsingh Deo

Download or read book Graph Theory with Applications to Engineering and Computer Science written by Narsingh Deo and published by PHI Learning Pvt. Ltd.. This book was released on 1974 with total page 478 pages. Available in PDF, EPUB and Kindle. Book excerpt: Because of its inherent simplicity, graph theory has a wide range of applications in engineering, and in physical sciences. It has of course uses in social sciences, in linguistics and in numerous other areas. In fact, a graph can be used to represent almost any physical situation involving discrete objects and the relationship among them. Now with the solutions to engineering and other problems becoming so complex leading to larger graphs, it is virtually difficult to analyze without the use of computers. This book is recommended in IIT Kharagpur, West Bengal for B.Tech Computer Science, NIT Arunachal Pradesh, NIT Nagaland, NIT Agartala, NIT Silchar, Gauhati University, Dibrugarh University, North Eastern Regional Institute of Management, Assam Engineering College, West Bengal Univerity of Technology (WBUT) for B.Tech, M.Tech Computer Science, University of Burdwan, West Bengal for B.Tech. Computer Science, Jadavpur University, West Bengal for M.Sc. Computer Science, Kalyani College of Engineering, West Bengal for B.Tech. Computer Science. Key Features: This book provides a rigorous yet informal treatment of graph theory with an emphasis on computational aspects of graph theory and graph-theoretic algorithms. Numerous applications to actual engineering problems are incorpo-rated with software design and optimization topics.

Algorithmic Graph Theory and Perfect Graphs

Author : Martin Charles Golumbic
Publisher : Elsevier
ISBN 13 : 1483271978
Total Pages : 306 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Algorithmic Graph Theory and Perfect Graphs by : Martin Charles Golumbic

Download or read book Algorithmic Graph Theory and Perfect Graphs written by Martin Charles Golumbic and published by Elsevier. This book was released on 2014-05-10 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

A Tour through Graph Theory

Author : Karin R Saoub
Publisher : CRC Press
ISBN 13 : 1138197815
Total Pages : 321 pages
Book Rating : 4.1/5 (381 download)

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Book Synopsis A Tour through Graph Theory by : Karin R Saoub

Download or read book A Tour through Graph Theory written by Karin R Saoub and published by CRC Press. This book was released on 2017-11-02 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Tour Through Graph Theory introduces graph theory to students who are not mathematics majors. Rather than featuring formal mathematical proofs, the book focuses on explanations and logical reasoning. It also includes thoughtful discussions of historical problems and modern questions. The book inspires readers to learn by working through examples, drawing graphs and exploring concepts. This book distinguishes itself from others covering the same topic. It strikes a balance of focusing on accessible problems for non-mathematical students while providing enough material for a semester-long course. Employs graph theory to teach mathematical reasoning Expressly written for non-mathematical students Promotes critical thinking and problem solving Provides rich examples and clear explanations without using proofs

Graph Theory

Author : Frank Harary
Publisher :
ISBN 13 :
Total Pages : 286 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis Graph Theory by : Frank Harary

Download or read book Graph Theory written by Frank Harary and published by . This book was released on 1969 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fractional Graph Theory

Author : Edward R. Scheinerman
Publisher : Courier Corporation
ISBN 13 : 0486292134
Total Pages : 240 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Fractional Graph Theory by : Edward R. Scheinerman

Download or read book Fractional Graph Theory written by Edward R. Scheinerman and published by Courier Corporation. This book was released on 2013-04-29 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume explains the general theory of hypergraphs and presents in-depth coverage of fundamental and advanced topics: fractional matching, fractional coloring, fractional edge coloring, fractional arboricity via matroid methods, fractional isomorphism, and more. 1997 edition.

Graph Theory with Applications

Author : John Adrian Bondy
Publisher : London : Macmillan Press
ISBN 13 :
Total Pages : 290 pages
Book Rating : 4.:/5 (318 download)

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Book Synopsis Graph Theory with Applications by : John Adrian Bondy

Download or read book Graph Theory with Applications written by John Adrian Bondy and published by London : Macmillan Press. This book was released on 1976 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Adventures in Graph Theory

Author : W. David Joyner
Publisher : Birkhäuser
ISBN 13 : 3319683837
Total Pages : 327 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Adventures in Graph Theory by : W. David Joyner

Download or read book Adventures in Graph Theory written by W. David Joyner and published by Birkhäuser. This book was released on 2017-12-28 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader’s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book’s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.

Pearls in Graph Theory

Author : Nora Hartsfield
Publisher : Courier Corporation
ISBN 13 : 0486315525
Total Pages : 272 pages
Book Rating : 4.4/5 (863 download)

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Book Synopsis Pearls in Graph Theory by : Nora Hartsfield

Download or read book Pearls in Graph Theory written by Nora Hartsfield and published by Courier Corporation. This book was released on 2013-04-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Stimulating and accessible, this undergraduate-level text covers basic graph theory, colorings of graphs, circuits and cycles, labeling graphs, drawings of graphs, measurements of closeness to planarity, graphs on surfaces, and applications and algorithms. 1994 edition.

Basic Graph Theory with Applications

Author : Dr. A. Rahim Basha
Publisher : Sri Hariganesh Publications LLP
ISBN 13 : 8193199561
Total Pages : 592 pages
Book Rating : 4.1/5 (931 download)

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Book Synopsis Basic Graph Theory with Applications by : Dr. A. Rahim Basha

Download or read book Basic Graph Theory with Applications written by Dr. A. Rahim Basha and published by Sri Hariganesh Publications LLP. This book was released on 2019-04-04 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Suitable for both U.G and P.G students of mathematics

Modern Graph Theory

Author : Bela Bollobas
Publisher : Springer Science & Business Media
ISBN 13 : 1461206197
Total Pages : 408 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Modern Graph Theory by : Bela Bollobas

Download or read book Modern Graph Theory written by Bela Bollobas and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: An in-depth account of graph theory, written for serious students of mathematics and computer science. It reflects the current state of the subject and emphasises connections with other branches of pure mathematics. Recognising that graph theory is one of several courses competing for the attention of a student, the book contains extensive descriptive passages designed to convey the flavour of the subject and to arouse interest. In addition to a modern treatment of the classical areas of graph theory, the book presents a detailed account of newer topics, including Szemerédis Regularity Lemma and its use, Shelahs extension of the Hales-Jewett Theorem, the precise nature of the phase transition in a random graph process, the connection between electrical networks and random walks on graphs, and the Tutte polynomial and its cousins in knot theory. Moreover, the book contains over 600 well thought-out exercises: although some are straightforward, most are substantial, and some will stretch even the most able reader.

Graph Theory and Complex Networks

Author : Maarten van Steen
Publisher : Maarten Van Steen
ISBN 13 : 9789081540612
Total Pages : 285 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Graph Theory and Complex Networks by : Maarten van Steen

Download or read book Graph Theory and Complex Networks written by Maarten van Steen and published by Maarten Van Steen. This book was released on 2010 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book aims to explain the basics of graph theory that are needed at an introductory level for students in computer or information sciences. To motivate students and to show that even these basic notions can be extremely useful, the book also aims to provide an introduction to the modern field of network science. Mathematics is often unnecessarily difficult for students, at times even intimidating. For this reason, explicit attention is paid in the first chapters to mathematical notations and proof techniques, emphasizing that the notations form the biggest obstacle, not the mathematical concepts themselves. This approach allows to gradually prepare students for using tools that are necessary to put graph theory to work: complex networks. In the second part of the book the student learns about random networks, small worlds, the structure of the Internet and the Web, peer-to-peer systems, and social networks. Again, everything is discussed at an elementary level, but such that in the end students indeed have the feeling that they: 1.Have learned how to read and understand the basic mathematics related to graph theory. 2.Understand how basic graph theory can be applied to optimization problems such as routing in communication networks. 3.Know a bit more about this sometimes mystical field of small worlds and random networks. There is an accompanying web site www.distributed-systems.net/gtcn from where supplementary material can be obtained, including exercises, Mathematica notebooks, data for analyzing graphs, and generators for various complex networks.

The Theory of Graphs

Author : Claude Berge
Publisher : Courier Corporation
ISBN 13 : 9780486419756
Total Pages : 276 pages
Book Rating : 4.4/5 (197 download)

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Book Synopsis The Theory of Graphs by : Claude Berge

Download or read book The Theory of Graphs written by Claude Berge and published by Courier Corporation. This book was released on 2001-01-01 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise, well-written text illustrates development of graph theory and application of its principles in methods both formal and abstract. Practical examples explain theory's broad range, from behavioral sciences, information theory, cybernetics, and other areas, to mathematical disciplines such as set and matrix theory. 1966 edition. Includes 109 black-and-white illustrations.

Graph Theory As I Have Known It

Author : W. T. Tutte
Publisher : Clarendon Press
ISBN 13 : 0191637785
Total Pages : 164 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Graph Theory As I Have Known It by : W. T. Tutte

Download or read book Graph Theory As I Have Known It written by W. T. Tutte and published by Clarendon Press. This book was released on 2012-05-24 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.