This 2003 book documents mathematical and computational advances in Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex, and more.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Part I. The Big Picture: 1. Idempotents among partisan games Elwyn Berlekamp; 2. On the lattice Structure of finite games Dan Calistrate, Marc Paulhus and David Wolfe; 3. More infinite games John H. Conway; 4. Alpha-Beta pruning under partial orders Matthew L. Ginsberg; 5. The abstract structure of the group of games David Moews; Part II. The Old Classics: 6. Higher numbers in pawn endgames on large chessboards Noam D. Elkies; 7. Restoring fairness to Dukego Greg Martin; 8. Go thermography: the 4/21/98 Jiang-Rui endgame Bill Spight; 9. An application of mathematical game theory to go endgames: some width-two-entrance rooms with and without Kos Takenobu Takizawa; 10. Go endgames are PSPACE-hard David Wolfe; 11. Global threats in combinatorial games: a computation model with applications to chess endgames Fabian Mäser; 12. The games of hex: the hierarchical approach Vadim V. Anshelevich; 13. Hypercube tic-tac-toe Solomon W. Golomb and Alfred W. Hales; 14. Transfinite chomp Scott Huddleston and Jerry Shurman; 15. A memory efficient retrograde algorithm and its application to Chinese chess endgames Ren Wu and Donald F. Beal; Part III. The New Classics: 16: The 4G4G4G4G4 problems and solutions Elwyn Berlekamp; 17. Experiments in computer amazons Martin Müller and Theodore Tegos; 18. Exhaustive search in amazons Raymond Georg Snatzke; 19. Two-player games on cellular automata Aviezri S. Fraenkel; 20. Who wins domineering on rectangular boards? Michael Lachmann, Christopher Moore and Ivan Rapaport; 21. Forcing your opponent to stay in control of a loony dot-and-boxes endgame Elwyn Berlekamp and Katherine Scott; 22. 1 x n Konane: a summary of results Alice Chan and Alice Tsai; 23. 1-dimensional peg solitaire, and duotaire Christopher Moore and David Eppstein; 24. Phutball endgames are hard Erik D. Demaine, Martin L. Demaine and David Eppstein; 25. One-dimensional phutball J. P. Grossman and Richard J. Nowakowski; 26. A symmetric strategy in graph avoidance games Frank Harary, Wolfgang Slany and Oleg Verbitsky; 27. A simple FSM-based proof of the additive periodicity of the Sprague-Grundy function of Wythoff's games Howard Landman; Part IV. Puzzles and Life: 28. The complexity of clickomania Therese C. Biedl, Erik D. Demaine, Martin L. Demaine, Rudolf Fleischer, Lars Jacobsen and Ian Munro; 29. Coin-moving puzzles Erik D. Demaine, Martin L. Demaine and Helena A. Verrill; 30. Searching for spaceships David Eppstein; Part V: Surveys: 31. Unsolved puzzles in combinatorial game theory: updated Richard K. Guy and Richard J. Nowakowski; Bibliography of combinatorial games: updated Aviezri S. Fraenkel.
Part I. The Big Picture: 1. Idempotents among partisan games Elwyn Berlekamp; 2. On the lattice Structure of finite games Dan Calistrate, Marc Paulhus and David Wolfe; 3. More infinite games John H. Conway; 4. Alpha-Beta pruning under partial orders Matthew L. Ginsberg; 5. The abstract structure of the group of games David Moews; Part II. The Old Classics: 6. Higher numbers in pawn endgames on large chessboards Noam D. Elkies; 7. Restoring fairness to Dukego Greg Martin; 8. Go thermography: the 4/21/98 Jiang-Rui endgame Bill Spight; 9. An application of mathematical game theory to go endgames: some width-two-entrance rooms with and without Kos Takenobu Takizawa; 10. Go endgames are PSPACE-hard David Wolfe; 11. Global threats in combinatorial games: a computation model with applications to chess endgames Fabian Mäser; 12. The games of hex: the hierarchical approach Vadim V. Anshelevich; 13. Hypercube tic-tac-toe Solomon W. Golomb and Alfred W. Hales; 14. Transfinite chomp Scott Huddleston and Jerry Shurman; 15. A memory efficient retrograde algorithm and its application to Chinese chess endgames Ren Wu and Donald F. Beal; Part III. The New Classics: 16: The 4G4G4G4G4 problems and solutions Elwyn Berlekamp; 17. Experiments in computer amazons Martin Müller and Theodore Tegos; 18. Exhaustive search in amazons Raymond Georg Snatzke; 19. Two-player games on cellular automata Aviezri S. Fraenkel; 20. Who wins domineering on rectangular boards? Michael Lachmann, Christopher Moore and Ivan Rapaport; 21. Forcing your opponent to stay in control of a loony dot-and-boxes endgame Elwyn Berlekamp and Katherine Scott; 22. 1 x n Konane: a summary of results Alice Chan and Alice Tsai; 23. 1-dimensional peg solitaire, and duotaire Christopher Moore and David Eppstein; 24. Phutball endgames are hard Erik D. Demaine, Martin L. Demaine and David Eppstein; 25. One-dimensional phutball J. P. Grossman and Richard J. Nowakowski; 26. A symmetric strategy in graph avoidance games Frank Harary, Wolfgang Slany and Oleg Verbitsky; 27. A simple FSM-based proof of the additive periodicity of the Sprague-Grundy function of Wythoff's games Howard Landman; Part IV. Puzzles and Life: 28. The complexity of clickomania Therese C. Biedl, Erik D. Demaine, Martin L. Demaine, Rudolf Fleischer, Lars Jacobsen and Ian Munro; 29. Coin-moving puzzles Erik D. Demaine, Martin L. Demaine and Helena A. Verrill; 30. Searching for spaceships David Eppstein; Part V: Surveys: 31. Unsolved puzzles in combinatorial game theory: updated Richard K. Guy and Richard J. Nowakowski; Bibliography of combinatorial games: updated Aviezri S. Fraenkel.
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