Graph Searching Games and Probabilistic Methods

1. Auflage 2017
ISBN: 978-1-138-62716-1
Verlag: CRC Press

Buch, Englisch, 402 Seiten, Format (B × H): 161 mm x 240 mm, Gewicht: 766 g

Graph Searching Games and Probabilistic Methods is the first book that focuses on the intersection of graph searching games and probabilistic methods. The book explores various applications of these powerful mathematical tools to games and processes such as Cops and Robbers, Zombie and Survivors, and Firefighting.

Written in an engaging style, the book is accessible to a wide audience including mathematicians and computer scientists. Readers will find that the book provides state-of-the-art results, techniques, and directions in graph searching games, especially from the point of view of probabilistic methods.

The authors describe three directions while providing numerous examples, which include:

• Playing a deterministic game on a random board.

• Players making random moves.

• Probabilistic methods used to analyze a deterministic game.

Autoren/Hrsg.

Bonato, Anthony

Pralat, Pawel

Fachgebiete

• Mathematik | Informatik EDV | Informatik Betriebssysteme
• Mathematik | Informatik Mathematik Stochastik Bayesianische Inferenz
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

Preface; Chapter 1: Introduction; 2: The Game of Cops and Robbers; 3. Variations of Cops and Robbers; 4. Large Cop Number and Meyniel’s Conjecture; 5. Graph Cleaning; 6. Acquaintance Time; 7. Random Geometric Graphs; 8. Firefighting and Seepage; 9. Miscellaneous Topics; Bibliography; Index

Über Autor(innen)

Dr. Anthony Bonato is a professor of Mathematics at Ryerson University, whose main research interests are in graph theory and complex networks. He is co-Editor-in-Chief of Internet Mathematics, editor for Contributions to Discrete Mathematics, and Chair of the Pure Mathematics group within the NSERC Discovery Grants Mathematics and Statistics Evaluation Group.

Dr. Pawel Pralat is an associate professor at Ryerson University whose main research interests are in graph theory and complex networks. He is the Assistant Director of Industry Liaison at The Fields Institute for Research in Mathematical Sciences, and has pursued collaborations with various industry partners as well as the Government of Canada.