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.

chapter 1|28 pages


chapter 2|39 pages

The game of Cops and Robbers

chapter 3|32 pages

Variations of Cops and Robbers

chapter 4|24 pages

Zombies and Survivors

chapter 6|45 pages

Graph cleaning

chapter 7|30 pages

Acquaintance time

chapter 8|23 pages


chapter 9|19 pages

Acquisition Number

chapter 10|38 pages

Temporal parameters

chapter 11|43 pages

Miscellaneous topics