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| 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 | : Vadim Zverovich |
| Publisher | : Cambridge Scholars Publishing |
| Total Pages | : 309 |
| Release | : 2019-06-24 |
| Genre | : Mathematics |
| ISBN | : 1527536289 |
This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.
| Author | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 416 |
| Release | : 2015-05-07 |
| Genre | : Mathematics |
| ISBN | : 1316239853 |
Chromatic graph theory is a thriving area that uses various ideas of 'colouring' (of vertices, edges, and so on) to explore aspects of graph theory. It has links with other areas of mathematics, including topology, algebra and geometry, and is increasingly used in such areas as computer networks, where colouring algorithms form an important feature. While other books cover portions of the material, no other title has such a wide scope as this one, in which acknowledged international experts in the field provide a broad survey of the subject. All fifteen chapters have been carefully edited, with uniform notation and terminology applied throughout. Bjarne Toft (Odense, Denmark), widely recognized for his substantial contributions to the area, acted as academic consultant. The book serves as a valuable reference for researchers and graduate students in graph theory and combinatorics and as a useful introduction to the topic for mathematicians in related fields.
| 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.
| Author | : N.V.R. Mahadev |
| Publisher | : Elsevier |
| Total Pages | : 559 |
| Release | : 1995-09-13 |
| Genre | : Mathematics |
| ISBN | : 0080543006 |
Threshold graphs have a beautiful structure and possess many important mathematical properties. They have applications in many areas including computer science and psychology. Over the last 20 years the interest in threshold graphs has increased significantly, and the subject continues to attract much attention.The book contains many open problems and research ideas which will appeal to graduate students and researchers interested in graph theory. But above all Threshold Graphs and Related Topics provides a valuable source of information for all those working in this field.
| 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 | : 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 | : Lowell W. Beineke |
| Publisher | : Cambridge University Press |
| Total Pages | : 302 |
| Release | : 2004-10-04 |
| Genre | : Mathematics |
| ISBN | : 9780521801973 |
There is no other book with such a wide scope of both areas of algebraic graph theory.
| Author | : Adrian Bondy |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 387 |
| Release | : 2006-12-22 |
| Genre | : Mathematics |
| ISBN | : 3764374004 |
In July 2004, a conference on graph theory was held in Paris in memory of Claude Berge, one of the pioneers of the field. The event brought together many prominent specialists on topics such as perfect graphs and matching theory, upon which Claude Berge's work has had a major impact. This volume includes contributions to these and other topics from many of the participants.
| Author | : S.T. Hedetniemi |
| Publisher | : Elsevier |
| Total Pages | : 287 |
| Release | : 1991-02-01 |
| Genre | : Mathematics |
| ISBN | : 008086788X |
The contributions in this volume are divided into three sections: theoretical, new models and algorithmic. The first section focuses on properties of the standard domination number &ggr;(G), the second section is concerned with new variations on the domination theme, and the third is primarily concerned with finding classes of graphs for which the domination number (and several other domination-related parameters) can be computed in polynomial time.
