One-Dimensional Peg Solitaire, and Duotaire (2002) [9 citations — 0 self]
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by
Cristopher Moore
,
David Eppstein
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Abstract:
We solve the problem of one-dimensional Peg Solitaire. In particular, we show that the set of configurations that can be reduced to a single peg forms a regular language, and that a linear-time algorithm exists for reducing any configuration to the minimum number of pegs. We then look
Citations
| 2870 | Introduction to automata theory, languages and computation – Hopcroft, Ullman - 1979 |
| 133 | The Calculus of Computation – Bradley, Manna - 2007 |
| 112 | On context-free languages – Parikh - 1966 |
| 23 | The Ins & Outs of Peg Solitaire – Beasley - 1985 |
| 20 | Generalized Hi-Q is NP-complete – Uehara, Iwata - 1990 |
| 13 | Unsolved problems in combinatorial games – Guy, Nowakowski - 2002 |
| 7 | string rewriting systems and finite automata – Ravikumar, “Peg-solitaire - 1997 |
| 3 | A programming and problem solving seminar – Chang, Phillips, et al. - 1991 |
| 2 | Peg Solitaire,” in Mathematical Recreations – Kraitchik - 1942 |
| 2 | Peg Solitaire,” in The Unexpected Hanging and Other Mathematical Diversions. Simon and – Gardner - 1969 |
| 2 | Mathematical notions in preliterate societies – Sizer - 1991 |
| 2 | Peg Solitaire – Kraitchik - 1942 |
| 2 | Peg Solitaire," in The Unexpected Hanging and Other Mathematical Diversions. Simon and – Gardner - 1969 |
| 1 | string rewriting systems and automata – Ravikumar, \Peg-solitaire - 1997 |

