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Graph puzzles, homotopy, and the alternating group. (English) Zbl 0285.05110

MSC:
05C25 Graphs and abstract algebra (groups, rings, fields, etc.)
20B25 Finite automorphism groups of algebraic, geometric, or combinatorial structures
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References:
[1] Burnside, W; Burnside, W, Theory of groups of finite order, (), (1955), Cambridge University Press New York · Zbl 0064.25105
[2] Stein, S.K, Mathematics: the man-made universe, (1969), Freeman San Francisco · Zbl 0177.00102
[3] Story, W.E, Note on the ‘15’ puzzle, Amer. J. math., 2, 399-404, (1879) · JFM 11.0818.05
[4] Tutte, W.T, Connectivity in graphs, (1966), University of Toronto Press Toronto · Zbl 0146.45603
[5] Whitney, H, Non-separable and planar graphs, Trans. amer. math. soc., 34, 339-362, (1932) · JFM 58.0608.01
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