Graph Searching Games and Probabilistic Methods

ISBN-13: 9781138627161 / Angielski / Twarda / 2017 / 346 str.

Anthony Bonato; Pawel Pralat

Opis

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.

Spis treści

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