Graphs And Homomorphisms
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Graphs and Homomorphisms
Author | : Pavol Hell,Jaroslav Nesetril |
Publsiher | : OUP Oxford |
Total Pages | : 260 |
Release | : 2004-07-22 |
Genre | : Mathematics |
ISBN | : 9780198528173 |
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This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics.Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro).The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided.The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Graphs and Homomorphisms
![Graphs and Homomorphisms](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Pavol Hell,Jaroslav Nešetřil |
Publsiher | : Unknown |
Total Pages | : 244 |
Release | : 2004 |
Genre | : Graph theory |
ISBN | : 0191713643 |
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Based on the authors' lecture notes, this book is concerned with an aspect of graph theory that has broad applications to complexity theory, graph colourings, channel assignment and statistical physics. It contains exercises, hints and references.
Graphs and Homomorphisms
Author | : Pavol Hell,Jaroslav Nesetril |
Publsiher | : OUP Oxford |
Total Pages | : 260 |
Release | : 2004-07-22 |
Genre | : Mathematics |
ISBN | : 9780191523724 |
Download Graphs and Homomorphisms Book in PDF, Epub and Kindle
This is a book about graph homomorphisms. Graph theory is now an established discipline but the study of graph homomorphisms has only recently begun to gain wide acceptance and interest. The subject gives a useful perspective in areas such as graph reconstruction, products, fractional and circular colourings, and has applications in complexity theory, artificial intelligence, telecommunication, and, most recently, statistical physics. Based on the authors' lecture notes for graduate courses, this book can be used as a textbook for a second course in graph theory at 4th year or master's level and has been used for courses at Simon Fraser University (Vancouver), Charles University (Prague), ETH (Zurich), and UFRJ (Rio de Janeiro). The exercises vary in difficulty. The first few are usually intended to give the reader an opportunity to practice the concepts introduced in the chapter; the later ones explore related concepts, or even introduce new ones. For the harder exercises hints and references are provided. The authors are well known for their research in this area and the book will be invaluable to graduate students and researchers alike.
Graph Symmetry
Author | : Gena Hahn,Gert Sabidussi |
Publsiher | : Springer Science & Business Media |
Total Pages | : 434 |
Release | : 2013-03-14 |
Genre | : Mathematics |
ISBN | : 9789401589376 |
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The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.
Structure of Graph Homomorphisms microform
![Structure of Graph Homomorphisms microform](https://youbookinc.com/wp-content/uploads/2024/06/cover.jpg)
Author | : Roman Bačík |
Publsiher | : National Library of Canada = Bibliothèque nationale du Canada |
Total Pages | : 206 |
Release | : 1997 |
Genre | : Graph theory |
ISBN | : 0612242900 |
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Graphs Morphisms and Statistical Physics
Author | : Jaroslav Nešetřil,Peter Winkler |
Publsiher | : American Mathematical Soc. |
Total Pages | : 220 |
Release | : 2024 |
Genre | : Science |
ISBN | : 0821871056 |
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The intersection of combinatorics and statistical physics has experienced great activity in recent years. This flurry of activity has been fertilized by an exchange not only of techniques, but also of objectives. Computer scientists interested in approximation algorithms have helped statistical physicists and discrete mathematicians overcome language problems. They have found a wealth of common ground in probabilistic combinatorics. Close connections between percolation and random graphs, graph morphisms and hard-constraint models, and slow mixing and phase transition have led to new results and perspectives. These connections can help in understanding typical behavior of combinatorial phenomena such as graph coloring and homomorphisms. Inspired by issues and intriguing new questions surrounding the interplay of combinatorics and statistical physics, a DIMACS/DIMATIA workshop was held at Rutgers University. These proceedings are the outgrowth of that meeting. This volume is intended for graduate students and research mathematicians interested in probabilistic graph theory and its applications.
Discrete and Computational Geometry
Author | : Boris Aronov,Saugata Basu,Janos Pach,Micha Sharir |
Publsiher | : Springer Science & Business Media |
Total Pages | : 853 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642555664 |
Download Discrete and Computational Geometry Book in PDF, Epub and Kindle
An impressive collection of original research papers in discrete and computational geometry, contributed by many leading researchers in these fields, as a tribute to Jacob E. Goodman and Richard Pollack, two of the ‘founding fathers’ of the area, on the occasion of their 2/3 x 100 birthdays. The topics covered by the 41 papers provide professionals and graduate students with a comprehensive presentation of the state of the art in most aspects of discrete and computational geometry, including geometric algorithms, study of arrangements, geometric graph theory, quantitative and algorithmic real algebraic geometry, with important connections to algebraic geometry, convexity, polyhedral combinatorics, the theory of packing, covering, and tiling. The book serves as an invaluable source of reference in this discipline.
Topics in Discrete Mathematics
Author | : Martin Klazar,Jan Kratochvil,Martin Loebl,Robin Thomas,Pavel Valtr |
Publsiher | : Springer Science & Business Media |
Total Pages | : 619 |
Release | : 2007-05-28 |
Genre | : Mathematics |
ISBN | : 9783540337003 |
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This book comprises a collection of high quality papers in selected topics of Discrete Mathematics, to celebrate the 60th birthday of Professor Jarik Nešetril. Leading experts have contributed survey and research papers in the areas of Algebraic Combinatorics, Combinatorial Number Theory, Game theory, Ramsey Theory, Graphs and Hypergraphs, Homomorphisms, Graph Colorings and Graph Embeddings.