Algorithmic Graph Theory and Perfect Graphs

Algorithmic Graph Theory and Perfect Graphs
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

Algorithmic Graph Theory and Perfect Graphs

Algorithmic Graph Theory and Perfect Graphs
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.

Topics in Algorithmic Graph Theory

Topics in Algorithmic Graph Theory
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.

Recent Advances in Algorithms and Combinatorics

Recent Advances in Algorithms and Combinatorics
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

Graphs

Graphs
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.

Topics on Perfect Graphs

Topics on Perfect Graphs
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.

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms

Handbook of Graph Theory, Combinatorial Optimization, and Algorithms
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

Applied and Algorithmic Graph Theory

Applied and Algorithmic Graph Theory
Author: Gary Chartrand
Publisher: McGraw-Hill Companies
Total Pages: 424
Release: 1993
Genre: Mathematics
ISBN:

Designed as a bridge to cross the gap between mathematics and computer science, and planned as the mathematics base for computer science students, this maths text is designed to help the student develop an understanding of the concept of an efficient algorithm.