Graph Theory Newsletter PDF Download

Author:
Publisher:
ISBN:
Category : Graph theory
Languages : en
Pages : 414

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Author: M. Borowiecki
Publisher: Springer
ISBN: 3540386793
Category : Mathematics
Languages : en
Pages : 298

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Book Description

Author: J. Akiyama
Publisher: Elsevier
ISBN: 0080867782
Category : Mathematics
Languages : en
Pages : 425

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Book Description
Graph Theory and Applications

Author: Cristopher Moore
Publisher: OUP Oxford
ISBN: 0191620807
Category : Science
Languages : en
Pages : 1498

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Book Description
Computational complexity is one of the most beautiful fields of modern mathematics, and it is increasingly relevant to other sciences ranging from physics to biology. But this beauty is often buried underneath layers of unnecessary formalism, and exciting recent results like interactive proofs, phase transitions, and quantum computing are usually considered too advanced for the typical student. This book bridges these gaps by explaining the deep ideas of theoretical computer science in a clear and enjoyable fashion, making them accessible to non-computer scientists and to computer scientists who finally want to appreciate their field from a new point of view. The authors start with a lucid and playful explanation of the P vs. NP problem, explaining why it is so fundamental, and so hard to resolve. They then lead the reader through the complexity of mazes and games; optimization in theory and practice; randomized algorithms, interactive proofs, and pseudorandomness; Markov chains and phase transitions; and the outer reaches of quantum computing. At every turn, they use a minimum of formalism, providing explanations that are both deep and accessible. The book is intended for graduate and undergraduate students, scientists from other areas who have long wanted to understand this subject, and experts who want to fall in love with this field all over again.

Author: Y. Alavi
Publisher: Springer
ISBN: 3540359125
Category : Mathematics
Languages : en
Pages : 650

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Book Description

Author: S. B. Rao
Publisher: Springer
ISBN: 3540470379
Category : Mathematics
Languages : en
Pages : 512

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Book Description

Author: Hian Poh Yap
Publisher: Cambridge University Press
ISBN: 0521339448
Category : Mathematics
Languages : en
Pages : 241

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Book Description
This book provides a rapid introduction to topics in graph theory typically covered in a graduate course. The author sets out the main recent results in several areas of current research in graph theory. Topics covered include edge-colourings, symmetries of graphs, packing of graphs, and computational complexity. Professor Yap is able to lead the reader to the forefront of research and to describe some of the open problems in the field. The choice of material presented has arisen from courses given at the National University of Singapore and each chapter contains numerous examples and exercises for the reader.

Author: Arthur Benjamin
Publisher: Princeton University Press
ISBN: 0691175632
Category : Mathematics
Languages : en
Pages : 338

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Book Description
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: Fan R. K. Chung
Publisher: American Mathematical Soc.
ISBN: 0821803158
Category : Mathematics
Languages : en
Pages : 228

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Book Description
This text discusses spectral graph theory.

Author: D.M. Cvetkovic
Publisher: Elsevier
ISBN: 0080867766
Category : Mathematics
Languages : en
Pages : 319

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Book Description
The purpose of this volume is to review the results in spectral graph theory which have appeared since 1978.The problem of characterizing graphs with least eigenvalue -2 was one of the original problems of spectral graph theory. The techniques used in the investigation of this problem have continued to be useful in other contexts including forbidden subgraph techniques as well as geometric methods involving root systems. In the meantime, the particular problem giving rise to these methods has been solved almost completely. This is indicated in Chapter 1.The study of various combinatorial objects (including distance regular and distance transitive graphs, association schemes, and block designs) have made use of eigenvalue techniques, usually as a method to show the nonexistence of objects with certain parameters. The basic method is to construct a graph which contains the structure of the combinatorial object and then to use the properties of the eigenvalues of the graph. Methods of this type are given in Chapter 2.Several topics have been included in Chapter 3, including the relationships between the spectrum and automorphism group of a graph, the graph isomorphism and the graph reconstruction problem, spectra of random graphs, and the Shannon capacity problem. Some graph polynomials related to the characteristic polynomial are described in Chapter 4. These include the matching, distance, and permanental polynomials. Applications of the theory of graph spectra to Chemistry and other branches of science are described from a mathematical viewpoint in Chapter 5. The last chapter is devoted to the extension of the theory of graph spectra to infinite graphs.