Graph Searching Games and Probabilistic Methods

This 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. It also provides results, techniques, and directions in graph searching games from the point of view of probabilistic methods.

List of contents

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

About the author

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 Präat 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.

Summary

This 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. It also provides results, techniques, and directions in graph searching games from the point of view of probabilistic methods.

Product details

• Authors: Anthony Bonato, Anthony Pralat Bonato, Bonato Anthony, Pawel Pralat, Pralat Pawel
• Publisher: Taylor & Francis Ltd.
• Languages: English
• Product format: Paperback / Softback
• Released: 21.01.2023
• EAN: 9781032476414
• ISBN: 978-1-0-3247641-4
• No. of pages: 402
• Series: Discrete Mathematics and Its Applications
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous; MATHEMATICS / General, COMPUTERS / Operating Systems / General, MATHEMATICS / Combinatorics, MATHEMATICS / Probability & Statistics / Bayesian Analysis, Probability & statistics, Operating systems, Combinatorics & graph theory, Probability and statistics, Bayesian Inference, Combinatorics and graph theory