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Positional Games


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Table of Contents

Preface.- 1 Introduction.- 2 Maker-Breaker Games.- 3 Biased Games.- 4 Avoider-Enforcer Games.- 5 The Connectivity Game.- 6 The Hamiltonicity Game.- 7 Fast and Strong.- 8 Random Boards.- 9 The Neighborhood Conjecture.- Bibliography.

About the Author

Dan Hefetz obtained his PhD in computer science at Tel Aviv University and is lecturer in pure mathematics at the University of Birmingham. Michael Krivelevich obtained his PhD in mathematics at Tel Aviv University, Israel, where he is now a full professor. Milos Stojakovic obtained his PhD in computer science at ETH Zurich, Switzerland, and is now an associate professor at the University of Novi Sad, Serbia. Tibor Szabo, who received his PhD from the Ohio State University, is a professor in the mathematics department at Freie Universitat Berlin, Germany. One of their common research interests is positional games. In May 2013 they jointly organized a workshop on this topic at the Mathematisches Forschungsinstitut Oberwolfach (MFO).


"The present book recalls the main points of the classical theory, and describes some recent results. The text ... can be taught in a regular university class. At the end of each chapter there are exercises that help the reader to practice the trade. The intention of that structure is to provide a textbook rather than just a pure record of the lecture notes of the Oberwolfach Seminar. It certainly can be used as a textbook ... ." (Andras Sandor Pluhar, Mathematical Reviews, July, 2017)

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