Graph Structure Theory
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Author | : Bruno Courcelle |
Publisher | : Cambridge University Press |
Total Pages | : 743 |
Release | : 2012-06-14 |
Genre | : Mathematics |
ISBN | : 1139644009 |
The study of graph structure has advanced in recent years with great strides: finite graphs can be described algebraically, enabling them to be constructed out of more basic elements. Separately the properties of graphs can be studied in a logical language called monadic second-order logic. In this book, these two features of graph structure are brought together for the first time in a presentation that unifies and synthesizes research over the last 25 years. The authors not only provide a thorough description of the theory, but also detail its applications, on the one hand to the construction of graph algorithms, and, on the other to the extension of formal language theory to finite graphs. Consequently the book will be of interest to graduate students and researchers in graph theory, finite model theory, formal language theory, and complexity theory.
Author | : Martin Grohe |
Publisher | : Cambridge University Press |
Total Pages | : 554 |
Release | : 2017-08-17 |
Genre | : Computers |
ISBN | : 1107014522 |
This groundbreaking, yet accessible book explores the interaction between graph theory and computational complexity using methods from finite model theory.
Author | : Lowell W. Beineke |
Publisher | : Cambridge University Press |
Total Pages | : 346 |
Release | : 2012-11-08 |
Genre | : Mathematics |
ISBN | : 1107244307 |
The rapidly expanding area of structural graph theory uses ideas of connectivity to explore various aspects of graph theory and vice versa. It has links with other areas of mathematics, such as design theory and is increasingly used in such areas as computer networks where connectivity algorithms are an important feature. Although other books cover parts of this material, none has a similarly wide scope. Ortrud R. Oellermann (Winnipeg), internationally recognised for her substantial contributions to structural graph theory, acted as academic consultant for this volume, helping shape its coverage of key topics. The result is a collection of thirteen expository chapters, each written by acknowledged experts. These contributions have been carefully edited to enhance readability and to standardise the chapter structure, terminology and notation throughout. An introductory chapter details the background material in graph theory and network flows and each chapter concludes with an extensive list of references.
Author | : Jan de Gier |
Publisher | : Springer Nature |
Total Pages | : 798 |
Release | : 2021-02-10 |
Genre | : Mathematics |
ISBN | : 3030624978 |
MATRIX is Australia’s international and residential mathematical research institute. It facilitates new collaborations and mathematical advances through intensive residential research programs, each 1-4 weeks in duration. This book is a scientific record of the ten programs held at MATRIX in 2019 and the two programs held in January 2020: · Topology of Manifolds: Interactions Between High and Low Dimensions · Australian-German Workshop on Differential Geometry in the Large · Aperiodic Order meets Number Theory · Ergodic Theory, Diophantine Approximation and Related Topics · Influencing Public Health Policy with Data-informed Mathematical Models of Infectious Diseases · International Workshop on Spatial Statistics · Mathematics of Physiological Rhythms · Conservation Laws, Interfaces and Mixing · Structural Graph Theory Downunder · Tropical Geometry and Mirror Symmetry · Early Career Researchers Workshop on Geometric Analysis and PDEs · Harmonic Analysis and Dispersive PDEs: Problems and Progress The articles are grouped into peer-reviewed contributions and other contributions. The peer-reviewed articles present original results or reviews on a topic related to the MATRIX program; the remaining contributions are predominantly lecture notes or short articles based on talks or activities at MATRIX.
Author | : Neil Robertson |
Publisher | : American Mathematical Soc. |
Total Pages | : 706 |
Release | : 1993-06-14 |
Genre | : Mathematics |
ISBN | : 0821851608 |
This volume contains the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Graph Minors, held at the University of Washington in Seattle in the summer of 1991. Among the topics covered are: algorithms on tree-structured graphs, well-quasi-ordering, logic, infinite graphs, disjoint path problems, surface embeddings, knot theory, graph polynomials, matroid theory, and combinatorial optimization.
Author | : Mark R.T. Dale |
Publisher | : Cambridge University Press |
Total Pages | : 355 |
Release | : 2017-11-09 |
Genre | : Mathematics |
ISBN | : 110708931X |
This book clearly describes the many applications of graph theory to ecological questions, providing instruction and encouragement to researchers.
Author | : Jonathan L. Gross |
Publisher | : CRC Press |
Total Pages | : 799 |
Release | : 2005-09-22 |
Genre | : Mathematics |
ISBN | : 158488505X |
Already an international bestseller, with the release of this greatly enhanced second edition, Graph Theory and Its Applications is now an even better choice as a textbook for a variety of courses -- a textbook that will continue to serve your students as a reference for years to come. The superior explanations, broad coverage, and abundance of illustrations and exercises that positioned this as the premier graph theory text remain, but are now augmented by a broad range of improvements. Nearly 200 pages have been added for this edition, including nine new sections and hundreds of new exercises, mostly non-routine. What else is new? New chapters on measurement and analytic graph theory Supplementary exercises in each chapter - ideal for reinforcing, reviewing, and testing. Solutions and hints, often illustrated with figures, to selected exercises - nearly 50 pages worth Reorganization and extensive revisions in more than half of the existing chapters for smoother flow of the exposition Foreshadowing - the first three chapters now preview a number of concepts, mostly via the exercises, to pique the interest of reader Gross and Yellen take a comprehensive approach to graph theory that integrates careful exposition of classical developments with emerging methods, models, and practical needs. Their unparalleled treatment provides a text ideal for a two-semester course and a variety of one-semester classes, from an introductory one-semester course to courses slanted toward classical graph theory, operations research, data structures and algorithms, or algebra and topology.
Author | : John Adrian Bondy |
Publisher | : London : Macmillan Press |
Total Pages | : 290 |
Release | : 1976 |
Genre | : Mathematics |
ISBN | : |
Author | : Arthur Benjamin |
Publisher | : Princeton University Press |
Total Pages | : 338 |
Release | : 2017-06-06 |
Genre | : Mathematics |
ISBN | : 0691175632 |
The history, formulas, and most famous puzzles of graph theory Graph theory goes back several centuries and revolves around the study of graphs—mathematical structures showing relations between objects. With applications in biology, computer science, transportation science, and other areas, graph theory encompasses some of the most beautiful formulas in mathematics—and some of its most famous problems. The Fascinating World of Graph Theory explores the questions and puzzles that have been studied, and often solved, through graph theory. This book looks at graph theory's development and the vibrant individuals responsible for the field's growth. Introducing fundamental concepts, the authors explore a diverse plethora of classic problems such as the Lights Out Puzzle, and each chapter contains math exercises for readers to savor. An eye-opening journey into the world of graphs, The Fascinating World of Graph Theory offers exciting problem-solving possibilities for mathematics and beyond.
Author | : Richard J. Trudeau |
Publisher | : Courier Corporation |
Total Pages | : 242 |
Release | : 2013-04-15 |
Genre | : Mathematics |
ISBN | : 0486318664 |
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.