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Graph searching games and probabilistic methods

By: Bonato, Anthony.
Contributor(s): Pralat, Pawel [Co author].
Material type: materialTypeLabelBookSeries: Discrete Mathematics and Its Applications. Publisher: Boca Raton CRC Press 2017Description: xxi, 379 p. Includes bibliographical references and index.ISBN: 9781138627161.Subject(s): Game theory | Probabilities | Games of strategy - Mathematics | Computer science - MathematicsDDC classification: 519.3 Summary: 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. https://www.crcpress.com/Graph-Searching-Games-and-Probabilistic-Methods/Bonato-Pralat/p/book/9781138627161
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Slot 1407 (0 Floor, East Wing) Non-fiction 519.3 B6G7 (Browse shelf) Available 200246

Table of contents:

Preface;
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

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.


https://www.crcpress.com/Graph-Searching-Games-and-Probabilistic-Methods/Bonato-Pralat/p/book/9781138627161

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