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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., Theory of Groups of Finite Order (1955), Cambridge University Press: Cambridge University Press New York · Zbl 0064.25105
[2] Stein, S. K., Mathematics: The Man-Made Universe (1969), Freeman: 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: 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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