Advanced Graph Theory And Combinatorics

Author : Michel Rigo
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 53,7 Mb
Release : 2016-12-27
Category : Computers
ISBN : 9781848216167

Get Book

Advanced Graph Theory and Combinatorics by Michel Rigo Pdf

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

Author : Sebastian M. Cioabă,M. Ram Murty
Publisher : Springer Nature
Page : 232 pages
File Size : 55,8 Mb
Release : 2022-07-07
Category : Mathematics
ISBN : 9789811909573

Get Book

A First Course in Graph Theory and Combinatorics by Sebastian M. Cioabă,M. Ram Murty Pdf

This book discusses the origin of graph theory from its humble beginnings in recreational mathematics to its modern setting or modeling communication networks, as is evidenced by the World Wide Web graph used by many Internet search engines. The second edition of the book includes recent developments in the theory of signed adjacency matrices involving the proof of sensitivity conjecture and the theory of Ramanujan graphs. In addition, the book discusses topics such as Pick’s theorem on areas of lattice polygons and Graham–Pollak’s work on addressing of graphs. The concept of graph is fundamental in mathematics and engineering, as it conveniently encodes diverse relations and facilitates combinatorial analysis of many theoretical and practical problems. The text is ideal for a one-semester course at the advanced undergraduate level or beginning graduate level.

Author : Y. Alavi
Publisher : Wiley-Interscience
Page : 600 pages
File Size : 45,9 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015019449035

Get Book

Graph Theory, Combinatorics, and Applications by Y. Alavi Pdf

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 46,9 Mb
Release : 2009-04-03
Category : Mathematics
ISBN : 9780387797113

Get Book

Combinatorics and Graph Theory by John Harris,Jeffry L. Hirst,Michael Mossinghoff Pdf

These notes were first used in an introductory course team taught by the authors at Appalachian State University to advanced undergraduates and beginning graduates. The text was written with four pedagogical goals in mind: offer a variety of topics in one course, get to the main themes and tools as efficiently as possible, show the relationships between the different topics, and include recent results to convince students that mathematics is a living discipline.

Author : Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki
Publisher : CRC Press
Page : 1217 pages
File Size : 51,7 Mb
Release : 2016-01-05
Category : Computers
ISBN : 9781420011074

Get Book

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms by Krishnaiyan "KT" Thulasiraman,Subramanian Arumugam,Andreas Brandstädt,Takao Nishizeki Pdf

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

Author : Michel Rigo
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 41,8 Mb
Release : 2016-11-22
Category : Computers
ISBN : 9781119058649

Get Book

Advanced Graph Theory and Combinatorics by Michel Rigo Pdf

Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.

Author : Santosh Kumar Yadav
Publisher : Springer Nature
Page : 294 pages
File Size : 43,8 Mb
Release : 2023-07-18
Category : Mathematics
ISBN : 9783031225628

Get Book

Advanced Graph Theory by Santosh Kumar Yadav Pdf

The present book is based on the curriculum of undergraduate and postgraduate courses of universities in India and abroad. Every effort is made to present the various topics in the theory of graphs in a logical manner with adequate historical background and include suitable figures to illustrate concepts and results ideally. The formidable exercises, neither easy nor straightforward, are bold faced and highlighted. The theory portion of each chapter is studied thoroughly as it helps solve many of the problems with comparative ease. Selected material from this book is used for a semester course on graph theory, while the entire book serves for a whole session course.

Author : Sriram Pemmaraju,Steven Skiena
Publisher : Cambridge University Press
Page : 615 pages
File Size : 43,6 Mb
Release : 2009-10-15
Category : Computers
ISBN : 9781107268715

Get Book

Computational Discrete Mathematics by Sriram Pemmaraju,Steven Skiena Pdf

This book was first published in 2003. Combinatorica, an extension to the popular computer algebra system Mathematica®, is the most comprehensive software available for teaching and research applications of discrete mathematics, particularly combinatorics and graph theory. This book is the definitive reference/user's guide to Combinatorica, with examples of all 450 Combinatorica functions in action, along with the associated mathematical and algorithmic theory. The authors cover classical and advanced topics on the most important combinatorial objects: permutations, subsets, partitions, and Young tableaux, as well as all important areas of graph theory: graph construction operations, invariants, embeddings, and algorithmic graph theory. In addition to being a research tool, Combinatorica makes discrete mathematics accessible in new and exciting ways to a wide variety of people, by encouraging computational experimentation and visualization. The book contains no formal proofs, but enough discussion to understand and appreciate all the algorithms and theorems it contains.

Author : Miklos Bona
Publisher : World Scientific
Page : 636 pages
File Size : 53,9 Mb
Release : 2023-08-08
Category : Mathematics
ISBN : 9789811277863

Get Book

Walk Through Combinatorics, A: An Introduction To Enumeration, Graph Theory, And Selected Other Topics (Fifth Edition) by Miklos Bona Pdf

The first half of the book walks the reader through methods of counting, both direct elementary methods and the more advanced method of generating functions. Then, in the second half of the book, the reader learns how to apply these methods to fascinating objects, such as graphs, designs, random variables, partially ordered sets, and algorithms. In short, the first half emphasizes depth by discussing counting methods at length; the second half aims for breadth, by showing how numerous the applications of our methods are.New to this fifth edition of A Walk Through Combinatorics is the addition of Instant Check exercises — more than a hundred in total — which are located at the end of most subsections. As was the case for all previous editions, the exercises sometimes contain new material that was not discussed in the text, allowing instructors to spend more time on a given topic if they wish to do so. With a thorough introduction into enumeration and graph theory, as well as a chapter on permutation patterns (not often covered in other textbooks), this book is well suited for any undergraduate introductory combinatorics class.

Author : SARKAR,BIKASH KANTI,CHAKRABORTY,SWAPAN KUMAR
Publisher : PHI Learning Pvt. Ltd.
Page : 536 pages
File Size : 43,6 Mb
Release : 2016-06-17
Category : Computers
ISBN : 9788120351738

Get Book

COMBINATORICS AND GRAPH THEORY by SARKAR,BIKASH KANTI,CHAKRABORTY,SWAPAN KUMAR Pdf

Combinatorics and Graph Theory is designed as a textbook for undergraduate students of computer science and engineering and postgraduate students of computer applications. The book seeks to introduce students to the mathematical concepts needed to develop abstract thinking and problem solving—important prerequisites for the study of computer science. The book provides an exhaustive coverage of various concepts and remarkable introduction of several topics of combinatorics and graph theory. The book presents an informative exposure for beginners and acts as a reference for advanced students. It highlights comprehensive and rigorous views of combinatorics and graphs. The text shows simplicity and step-by-step concepts throughout and is profusely illustrated with diagrams. The real-world applications corresponding to the topics are appropriately highlighted. The chapters have also been interspersed throughout with numerous interesting and instructional notes. Written in a lucid style, the book helps students apply the mathematical tools to computer-related concepts and consists of around 600 worked-out examples which motivate students as a self-learning mode.KEY FEATURES Contains various exercises with their answers or hints. Lays emphasis on the applicability of mathematical structures to computer science. Includes competitive examinations’ questions asked in GATE, NET, SET, etc

Author : Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West
Publisher : CRC Press
Page : 443 pages
File Size : 47,5 Mb
Release : 2019-11-15
Category : Mathematics
ISBN : 9781000751833

Get Book

50 years of Combinatorics, Graph Theory, and Computing by Fan Chung,Ron Graham,Frederick Hoffman,Ronald C. Mullin,Leslie Hogben,Douglas B. West Pdf

50 Years of Combinatorics, Graph Theory, and Computing advances research in discrete mathematics by providing current research surveys, each written by experts in their subjects. The book also celebrates outstanding mathematics from 50 years at the Southeastern International Conference on Combinatorics, Graph Theory & Computing (SEICCGTC). The conference is noted for the dissemination and stimulation of research, while fostering collaborations among mathematical scientists at all stages of their careers. The authors of the chapters highlight open questions. The sections of the book include: Combinatorics; Graph Theory; Combinatorial Matrix Theory; Designs, Geometry, Packing and Covering. Readers will discover the breadth and depth of the presentations at the SEICCGTC, as well as current research in combinatorics, graph theory and computer science. Features: Commemorates 50 years of the Southeastern International Conference on Combinatorics, Graph Theory & Computing with research surveys Surveys highlight open questions to inspire further research Chapters are written by experts in their fields Extensive bibliographies are provided at the end of each chapter

Author : Y. Alavi,Allen Schwenk
Publisher : Unknown
Page : 426 pages
File Size : 54,7 Mb
Release : 1995
Category : Algorithms
ISBN : UOM:39015035021636

Get Book

Graph Theory, Combinatorics, and Algorithms by Y. Alavi,Allen Schwenk Pdf

Author : Wilfried Imrich,Sandi Klavzar,Douglas F Rall
Publisher : A K Peters/CRC Press
Page : 0 pages
File Size : 49,9 Mb
Release : 2008-10-27
Category : Mathematics
ISBN : 1568814291

Get Book

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, this book can be used for personal study in advanced applications of graph theory or for an advanced graph theory course.

Author : Reinhard Diestel
Publisher : Springer-Verlag, © Reinhard Diestel
Page : 447 pages
File Size : 46,6 Mb
Release : 2017-02-01
Category : Electronic
ISBN : 9783961340057

Get Book

Graph Theory by Reinhard Diestel Pdf

Professional electronic edition available from http://diestel-graph-theory.com/professional.html This standard textbook of modern graph theory, now in its fifth edition, combines the authority of a classic with the engaging freshness of style that is the hallmark of active mathematics. It covers the core material of the subject with concise yet reliably complete proofs, while offering glimpses of more advanced methods in each field by one or two deeper results, again with proofs given in full detail. The book can be used as a reliable text for an introductory course, as a graduate text, and for self-study. New in this 5th edition: Sections on tangles and tree-width, on tree packing and covering, and on topological spaces as inverse limits of finite graphs. Several new proofs of classical theorems. Many new exercises. From the reviews: “This outstanding book cannot be substituted with any other book on the present textbook market. It has every chance of becoming the standard textbook for graph theory.” Acta Scientiarum Mathematicarum "Deep, clear, wonderful. This is a serious book about the heart of graph theory. It has depth and integrity." Persi Diaconis & Ron Graham, SIAM Review “The book has received a very enthusiastic reception, which it amply deserves. A masterly elucidation of modern graph theory.” Bulletin of the Institute of Combinatorics and its Applications “Succeeds dramatically… a hell of a good book.” MAA Reviews “A highlight of the book is what is by far the best account in print of the Seymour-Robertson theory of graph minors.” Mathematika “…like listening to someone explain mathematics.” Bulletin of the AMS

Author : L. R. Foulds
Publisher : Unknown
Page : 416 pages
File Size : 40,7 Mb
Release : 1992
Category : Combinatorics
ISBN : UCSD:31822007982846

Get Book

Graph Theory Applications by L. R. Foulds Pdf

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.