Graph Theory For Programmers

Author : Victor N. Kasyanov,Vladimir Anatolʹevich Evstigneev
Publisher : Springer Science & Business Media
Page : 460 pages
File Size : 45,9 Mb
Release : 2000-08-31
Category : Business & Economics
ISBN : 0792364287

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Graph Theory for Programmers by Victor N. Kasyanov,Vladimir Anatolʹevich Evstigneev Pdf

This introductory book treats algorithmic graph theory specifically for programmers. It explores some key ideas and basic algorithms in this large and rapidly growing field, and contains high-level and language-independent descriptions of methods and algorithms on trees, the most important type of graphs in programming and informatics. Readers are assumed to be familiar with the basics of graph theory, and programming. Audience: This volume will be of interest to researchers and specialists in programming, software engineering, data structure and information retrieval, and to mathematicians whose work involves algorithms, combinatorics, graph theory, operations research, and discrete optimization. The book can also be recommended as a text for graduate courses in computer science, electronics, telecommunications, and control engineering.

Author : P. J. Cameron,J. H. van Lint
Publisher : Cambridge University Press
Page : 125 pages
File Size : 40,9 Mb
Release : 1975-09-18
Category : Mathematics
ISBN : 9780521207423

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Graph Theory, Coding Theory and Block Designs by P. J. Cameron,J. H. van Lint Pdf

These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.

Author : Gary Chartrand,Ping Zhang
Publisher : Courier Corporation
Page : 464 pages
File Size : 41,5 Mb
Release : 2013-05-20
Category : Mathematics
ISBN : 9780486297309

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A First Course in Graph Theory by Gary Chartrand,Ping Zhang Pdf

Written by two prominent figures in the field, this comprehensive text provides a remarkably student-friendly approach. Its sound yet accessible treatment emphasizes the history of graph theory and offers unique examples and lucid proofs. 2004 edition.

Author : Narsingh Deo
Publisher : PHI Learning Pvt. Ltd.
Page : 478 pages
File Size : 46,7 Mb
Release : 1974
Category : Graph theory
ISBN : 8120301455

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Graph Theory with Applications to Engineering and Computer Science by Narsingh Deo Pdf

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.

Author : Koh Khee Meng,Dong Fengming,Tay Eng Guan
Publisher : World Scientific Publishing Company
Page : 244 pages
File Size : 53,9 Mb
Release : 2007-03-15
Category : Mathematics
ISBN : 9789813101630

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Introduction to Graph Theory by Koh Khee Meng,Dong Fengming,Tay Eng Guan Pdf

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.

Author : William Kocay,Donald L. Kreher
Publisher : CRC Press
Page : 504 pages
File Size : 41,7 Mb
Release : 2017-09-20
Category : Mathematics
ISBN : 9781351989121

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Graphs, Algorithms, and Optimization by William Kocay,Donald L. Kreher Pdf

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.

Author : James. W. Stelly
Publisher : No Starch Press
Page : 362 pages
File Size : 45,6 Mb
Release : 2021-01-12
Category : Computers
ISBN : 9781718500839

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Racket Programming the Fun Way by James. W. Stelly Pdf

An introduction to the Racket functional programming language and DrRacket development environment to explore topics in mathematics (mostly recreational) and computer science. At last, a lively guided tour through all the features, functions, and applications of the Racket programming language. You'll learn a variety of coding paradigms, including iterative, object oriented, and logic programming; create interactive graphics, draw diagrams, and solve puzzles as you explore Racket through fun computer science topics--from statistical analysis to search algorithms, the Turing machine, and more. Early chapters cover basic Racket concepts like data types, syntax, variables, strings, and formatted output. You'll learn how to perform math in Racket's rich numerical environment, and use programming constructs in different problem domains (like coding solutions to the Tower of Hanoi puzzle). Later, you'll play with plotting, grapple with graphics, and visualize data. Then, you'll escape the confines of the command line to produce animations, interactive games, and a card trick program that'll dazzle your friends. You'll learn how to: Use DrRacket, an interactive development environment (IDE) for writing programs Compute classical math problems, like the Fibonacci sequence Generate two-dimensional function plots and create drawings using graphics primitives Import and export data to and from Racket using ports, then visually analyze it Build simple computing devices (pushdown automaton, Turing machine, and so on) that perform tasks Leverage Racket's built-in libraries to develop a command line algebraic calculator Racket Programming the Fun Way is just like the language itself--an embodiment of everything that makes programming interesting and worthwhile, and that makes you a better programmer.

Author : Alan Gibbons
Publisher : Cambridge University Press
Page : 280 pages
File Size : 45,7 Mb
Release : 1985-06-27
Category : Computers
ISBN : 0521288819

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Algorithmic Graph Theory by Alan Gibbons Pdf

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

Author : John Adrian Bondy,U. S. R. Murty
Publisher : London : Macmillan Press
Page : 290 pages
File Size : 41,9 Mb
Release : 1976
Category : Grafs, Teoria de
ISBN : UCSD:31822011897709

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Graph Theory with Applications by John Adrian Bondy,U. S. R. Murty Pdf

Author : William Kocay,Donald L. Kreher
Publisher : CRC Press
Page : 543 pages
File Size : 51,8 Mb
Release : 2016-11-03
Category : Mathematics
ISBN : 9781482251258

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Graphs, Algorithms, and Optimization, Second Edition by William Kocay,Donald L. Kreher Pdf

The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs. ?

Author : Edward R. Scheinerman,Daniel H. Ullman
Publisher : Courier Corporation
Page : 240 pages
File Size : 50,5 Mb
Release : 2013-04-29
Category : Mathematics
ISBN : 9780486292137

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Fractional Graph Theory by Edward R. Scheinerman,Daniel H. Ullman Pdf

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.

Author : Richard J. Trudeau
Publisher : Courier Corporation
Page : 224 pages
File Size : 41,9 Mb
Release : 2013-04-15
Category : Mathematics
ISBN : 9780486318660

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Introduction to Graph Theory by Richard J. Trudeau Pdf

Aimed at "the mathematically traumatized," this text offers nontechnical coverage of graph theory, with exercises. Discusses planar graphs, Euler's formula, Platonic graphs, coloring, the genus of a graph, Euler walks, Hamilton walks, more. 1976 edition.

Author : Sriraman Sridharan,R. Balakrishnan
Publisher : CRC Press
Page : 320 pages
File Size : 45,7 Mb
Release : 2019-07-30
Category : Mathematics
ISBN : 9780429942624

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Discrete Mathematics by Sriraman Sridharan,R. Balakrishnan Pdf

Conveying ideas in a user-friendly style, this book has been designed for a course in Applied Algebra. The book covers graph algorithms, basic algebraic structures, coding theory and cryptography. It will be most suited for senior undergraduates and beginning graduate students in mathematics and computer science as also to individuals who want to have a knowledge of the below-mentioned topics. Provides a complete discussion on several graph algorithms such as Prims algorithm and Kruskals algorithm for sending a minimum cost spanning tree in a weighted graph, Dijkstras single source shortest path algorithm, Floyds algorithm, Warshalls algorithm, Kuhn-Munkres Algorithm. In addition to DFS and BFS search, several applications of DFS and BFS are also discussed. Presents a good introduction to the basic algebraic structures, namely, matrices, groups, rings, fields including finite fields as also a discussion on vector spaces and linear equations and their solutions. Provides an introduction to linear codes including cyclic codes. Presents a description of private key cryptosystems as also a discussion on public key cryptosystems such as RSA, ElGamal and Miller-Rabin. Finally, the Agrawal-KayalSaxena algorithm (AKS Algorithm) for testing if a given positive integer is prime or not in polynomial time is presented- the first time in a textbook. Two distinguished features of the book are: Illustrative examples have been presented throughout the book to make the readers appreciate the concepts described. Answers to all even-numbered exercises in all the chapters are given.

Author : Stasys Jukna
Publisher : Springer Science & Business Media
Page : 389 pages
File Size : 43,9 Mb
Release : 2013-03-09
Category : Computers
ISBN : 9783662046500

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Extremal Combinatorics by Stasys Jukna Pdf

This is a concise, up-to-date introduction to extremal combinatorics for non-specialists. Strong emphasis is made on theorems with particularly elegant and informative proofs which may be called the gems of the theory. A wide spectrum of the most powerful combinatorial tools is presented, including methods of extremal set theory, the linear algebra method, the probabilistic method and fragments of Ramsey theory. A thorough discussion of recent applications to computer science illustrates the inherent usefulness of these methods.

Author : David Avis,Alain Hertz,Odile Marcotte
Publisher : Springer Science & Business Media
Page : 273 pages
File Size : 44,9 Mb
Release : 2005-12-06
Category : Business & Economics
ISBN : 9780387255927

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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.