Graph Theory And Combinatorics

Author : John Harris,Jeffry L. Hirst,Michael Mossinghoff
Publisher : Springer Science & Business Media
Page : 392 pages
File Size : 43,9 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 : Michel Rigo
Publisher : John Wiley & Sons
Page : 290 pages
File Size : 47,7 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 : Martin Charles Golumbic,Irith Ben-Arroyo Hartman
Publisher : Springer Science & Business Media
Page : 296 pages
File Size : 42,5 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9780387250366

Get Book

Graph Theory, Combinatorics and Algorithms by Martin Charles Golumbic,Irith Ben-Arroyo Hartman Pdf

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.

Author : Sebastian M. Cioabă,M. Ram Murty
Publisher : Springer Nature
Page : 232 pages
File Size : 49,6 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 : 44,8 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015019449035

Get Book

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

Author : B. Bollobás
Publisher : Elsevier
Page : 409 pages
File Size : 53,7 Mb
Release : 1989-07-01
Category : Mathematics
ISBN : 0080867839

Get Book

Graph Theory and Combinatorics 1988 by B. Bollobás Pdf

Combinatorics has not been an established branch of mathematics for very long: the last quarter of a century has seen an explosive growth in the subject. This growth has been largely due to the doyen of combinatorialists, Paul Erdős, whose penetrating insight and insatiable curiosity has provided a huge stimulus for workers in the field. There is hardly any branch of combinatorics that has not been greatly enriched by his ideas. This volume is dedicated to Paul Erdős on the occasion of his seventy-fifth birthday.

Author : John M. Harris,Jeffry L. Hirst,Michael J. Mossinghoff
Publisher : Springer Science & Business Media
Page : 237 pages
File Size : 54,8 Mb
Release : 2013-04-18
Category : Mathematics
ISBN : 9781475748031

Get Book

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

This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matchings, and Ramsey theory. Chapter 2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, Pólya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, König's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set theory. The text is written in an enthusiastic and lively style. It includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest.

Author : George Polya,Robert E. Tarjan,Donald R. Woods
Publisher : Springer Science & Business Media
Page : 202 pages
File Size : 48,6 Mb
Release : 2013-11-27
Category : Science
ISBN : 9781475711011

Get Book

Notes on Introductory Combinatorics by George Polya,Robert E. Tarjan,Donald R. Woods Pdf

In the winter of 1978, Professor George P61ya and I jointly taught Stanford University's introductory combinatorics course. This was a great opportunity for me, as I had known of Professor P61ya since having read his classic book, How to Solve It, as a teenager. Working with P6lya, who ·was over ninety years old at the time, was every bit as rewarding as I had hoped it would be. His creativity, intelligence, warmth and generosity of spirit, and wonderful gift for teaching continue to be an inspiration to me. Combinatorics is one of the branches of mathematics that play a crucial role in computer sCience, since digital computers manipulate discrete, finite objects. Combinatorics impinges on computing in two ways. First, the properties of graphs and other combinatorial objects lead directly to algorithms for solving graph-theoretic problems, which have widespread application in non-numerical as well as in numerical computing. Second, combinatorial methods provide many analytical tools that can be used for determining the worst-case and expected performance of computer algorithms. A knowledge of combinatorics will serve the computer scientist well. Combinatorics can be classified into three types: enumerative, eXistential, and constructive. Enumerative combinatorics deals with the counting of combinatorial objects. Existential combinatorics studies the existence or nonexistence of combinatorial configurations.

Author : Mikl¢s B¢na
Publisher : World Scientific
Page : 492 pages
File Size : 42,9 Mb
Release : 2006
Category : Mathematics
ISBN : 9789812568854

Get Book

A Walk Through Combinatorics by Mikl¢s B¢na Pdf

This is a textbook for an introductory combinatorics course that can take up one or two semesters. An extensive list of problems, ranging from routine exercises to research questions, is included. In each section, there are also exercises that contain material not explicitly discussed in the preceding text, so as to provide instructors with extra choices if they want to shift the emphasis of their course. Just as with the first edition, the new edition walks the reader through the classic parts of combinatorial enumeration and graph theory, while also discussing some recent progress in the area: on the one hand, providing material that will help students learn the basic techniques, and on the other hand, showing that some questions at the forefront of research are comprehensible and accessible for the talented and hard-working undergraduate. The basic topics discussed are: the twelvefold way, cycles in permutations, the formula of inclusion and exclusion, the notion of graphs and trees, matchings and Eulerian and Hamiltonian cycles. The selected advanced topics are: Ramsey theory, pattern avoidance, the probabilistic method, partially ordered sets, and algorithms and complexity. As the goal of the book is to encourage students to learn more combinatorics, every effort has been made to provide them with a not only useful, but also enjoyable and engaging reading.

Author : Ioan Tomescu
Publisher : Wiley-Interscience
Page : 362 pages
File Size : 48,6 Mb
Release : 1985-04-30
Category : Mathematics
ISBN : UOM:39015039010262

Get Book

Problems in Combinatorics and Graph Theory by Ioan Tomescu Pdf

Covers the most important combinatorial structures and techniques. This is a book of problems and solutions which range in difficulty and scope from the elementary/student-oriented to open questions at the research level. Each problem is accompanied by a complete and detailed solution together with appropriate references to the mathematical literature, helping the reader not only to learn but to apply the relevant discrete methods. The text is unique in its range and variety -- some problems include straightforward manipulations while others are more complicated and require insights and a solid foundation of combinatorics and/or graph theory. Includes a dictionary of terms that makes many of the challenging problems accessible to those whose mathematical education is limited to highschool algebra.

Author : Alan Gibbons
Publisher : Cambridge University Press
Page : 280 pages
File Size : 46,7 Mb
Release : 1985-06-27
Category : Computers
ISBN : 0521288819

Get Book

Algorithmic Graph Theory by Alan Gibbons Pdf

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

Author : Y. Alavi
Publisher : Unknown
Page : 656 pages
File Size : 48,7 Mb
Release : 1991
Category : Mathematics
ISBN : UOM:39015029581538

Get Book

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

The Conference participants included research mathematicians and computer scientists from colleges, universities, and industry, representing various countries. China, which hosted the First International Conference in 1986, is particularly well-represented. The 58 contributions to this proceedings v

Author : Sriram Pemmaraju,Steven Skiena
Publisher : Cambridge University Press
Page : 615 pages
File Size : 43,9 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 : David Avis,Alain Hertz,Odile Marcotte
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 48,6 Mb
Release : 2005-12-06
Category : Business & Economics
ISBN : 9780387255927

Get Book

Graph Theory and Combinatorial Optimization by David Avis,Alain Hertz,Odile Marcotte Pdf

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.

Author : Fred Roberts,Barry Tesman
Publisher : CRC Press
Page : 889 pages
File Size : 40,6 Mb
Release : 2009-06-03
Category : Computers
ISBN : 9781420099836

Get Book

Applied Combinatorics by Fred Roberts,Barry Tesman Pdf

Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.After introducing fundamental counting