The Game of Cops and Robbers on Graphs
Seiten
2011
American Mathematical Society (Verlag)
978-0-8218-5347-4 (ISBN)
American Mathematical Society (Verlag)
978-0-8218-5347-4 (ISBN)
This book is the first and only one of its kind on the topic of Cops and Robbers games, and more generally, on the field of vertex pursuit games on graphs. The book is written in a lively and highly readable fashion, which should appeal to both senior undergraduates and experts in the field (and everyone in between). One of the main goals of the book is to bring together the key results in the field; as such, it presents structural, probabilistic, and algorithmic results on Cops and Robbers games. Several recent and new results are discussed, along with a comprehensive set of references. The book is suitable for self-study or as a textbook, owing in part to the over 200 exercises. The reader will gain insight into all the main directions of research in the field and will be exposed to a number of open problems.
Anthony Bonato, Ryerson University, Toronto, ON, Canada Richard J. Nowakowski, Dalhousie University, Halifax, NS, Canada
Preface
Introduction
Characterizations
Meyniel’s conjecture
Graph products and classes
Algorithms
Random graphs
Infinite graphs
Variants of Cops and Robbers
Good guys versus bad guys
Bibliography
Index
| Erscheint lt. Verlag | 1.11.2011 |
|---|---|
| Reihe/Serie | Student Mathematical Library |
| Verlagsort | Providence |
| Sprache | englisch |
| Maße | 137 x 213 mm |
| Gewicht | 357 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-8218-5347-3 / 0821853473 |
| ISBN-13 | 978-0-8218-5347-4 / 9780821853474 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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