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A note on “pattern variants on a square field”

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Abstract

It is shown how results of Prokhovnik on the number of pattern variants that may be formed byk markers on a square network ofm 2 positions may be derived more simply by means of a combinatorial theorem of Pólya's, which may also be used to solve systematically many other problems of this type.

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References

  1. Harary, F. The number of linear, directed, rooted, and connected graphs.Trans. Amer. math. Soc., 1955,78, 445–463.

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  2. Pólya, G. Kombinatorische Anzahlbestimmungen für Gruppen, Graphen, und chemische Verbindungen.Acta Math. 1937,68, 145–254.

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  3. Prokhovnik, S. J. Pattern variants on a square field.Psychometrika, 1959,24, 329–341.

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  4. Riordan, J.An introduction to combinatorial analysis. New York: Wiley, 1958.

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Authors and Affiliations

  1. University of Alberta, Canada

    John W. Moon

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  1. John W. Moon
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Moon, J.W. A note on “pattern variants on a square field”. Psychometrika 28, 93–95 (1963). https://doi.org/10.1007/BF02289552

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  • DOI: https://doi.org/10.1007/BF02289552

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