Algorithmic Graph Theory And Perfect Graphs
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| Author | : Martin Charles Golumbic |
| Publisher | : Elsevier |
| Total Pages | : 341 |
| Release | : 2004-02-04 |
| Genre | : Mathematics |
| ISBN | : 0080526969 |
Algorithmic Graph Theory and Perfect Graphs, first published in 1980, has become the classic introduction to the field. This new Annals edition continues to convey the message that intersection graph models are a necessary and important tool for solving real-world problems. It remains a stepping stone from which the reader may embark on one of many fascinating research trails. The past twenty years have been an amazingly fruitful period of research in algorithmic graph theory and structured families of graphs. Especially important have been the theory and applications of new intersection graph models such as generalizations of permutation graphs and interval graphs. These have lead to new families of perfect graphs and many algorithmic results. These are surveyed in the new Epilogue chapter in this second edition. - New edition of the "Classic" book on the topic - Wonderful introduction to a rich research area - Leading author in the field of algorithmic graph theory - Beautifully written for the new mathematician or computer scientist - Comprehensive treatment
| Author | : Martin Charles Golumbic |
| Publisher | : Elsevier |
| Total Pages | : 307 |
| Release | : 2014-05-10 |
| Genre | : Mathematics |
| ISBN | : 1483271978 |
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.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 400 |
| Release | : 2021-06-03 |
| Genre | : Mathematics |
| ISBN | : 1108671071 |
Algorithmic graph theory has been expanding at an extremely rapid rate since the middle of the twentieth century, in parallel with the growth of computer science and the accompanying utilization of computers, where efficient algorithms have been a prime goal. This book presents material on developments on graph algorithms and related concepts that will be of value to both mathematicians and computer scientists, at a level suitable for graduate students, researchers and instructors. The fifteen expository chapters, written by acknowledged international experts on their subjects, focus on the application of algorithms to solve particular problems. All chapters were carefully edited to enhance readability and standardize the chapter structure as well as the terminology and notation. The editors provide basic background material in graph theory, and a chapter written by the book's Academic Consultant, Martin Charles Golumbic (University of Haifa, Israel), provides background material on algorithms as connected with graph theory.
| Author | : K. Thulasiraman |
| Publisher | : John Wiley & Sons |
| Total Pages | : 480 |
| Release | : 2011-03-29 |
| Genre | : Mathematics |
| ISBN | : 1118030257 |
This adaptation of an earlier work by the authors is a graduate text and professional reference on the fundamentals of graph theory. It covers the theory of graphs, its applications to computer networks and the theory of graph algorithms. Also includes exercises and an updated bibliography.
| Author | : Bruce A. Reed |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 357 |
| Release | : 2006-05-17 |
| Genre | : Mathematics |
| ISBN | : 0387224440 |
Excellent authors, such as Lovasz, one of the five best combinatorialists in the world; Thematic linking that makes it a coherent collection; Will appeal to a variety of communities, such as mathematics, computer science and operations research
| Author | : Martin C. Golumbic |
| Publisher | : |
| Total Pages | : 284 |
| Release | : 1988 |
| Genre | : |
| ISBN | : |
| Author | : V. Chvátal |
| Publisher | : Elsevier |
| Total Pages | : 385 |
| Release | : 1984-11-01 |
| Genre | : Mathematics |
| ISBN | : 0080871992 |
The purpose of this book is to present selected results on perfect graphs in a single volume. These take the form of reprinted classical papers, survey papers or new results.
| Author | : Krishnaiyan "KT" Thulasiraman |
| Publisher | : CRC Press |
| Total Pages | : 1217 |
| Release | : 2016-01-05 |
| Genre | : Computers |
| ISBN | : 1420011073 |
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 | : Jorgen Bang-Jensen |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 769 |
| Release | : 2013-06-29 |
| Genre | : Mathematics |
| ISBN | : 1447138864 |
The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.
| Author | : Andreas Brandstadt |
| Publisher | : SIAM |
| Total Pages | : 315 |
| Release | : 1999-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780898719796 |
This well-organized reference is a definitive encyclopedia for the literature on graph classes. It contains a survey of more than 200 classes of graphs, organized by types of properties used to define and characterize the classes, citing key theorems and literature references for each. The authors state results without proof, providing readers with easy access to far more key theorems than are commonly found in other mathematical texts. Interconnections between graph classes are also provided to make the book useful to a variety of readers.
