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Dominance method for plane partitions III-flagged skew plane partitions

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Abstract

This paper investigates the enumerative problems of flagged skew plane partitions in which each row (column) has an upper and a lower bounds on the entries. By means of dominance technique, a direct and elementary derivation for their generating functions is presented which may be more accessible to readers.

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References

  1. Andrews, G. E., The Theory of Partitions, Addison-Wesley, London, 1976.

    Google Scholar 

  2. Carlitz, L., Rectangular arrays and plane partitions,Acta Arithmetica,XIII (1967), 29–47.

    Google Scholar 

  3. Chu Wenchang, The Counting Theory of Ordered Runs and Applications, Ph.D thesis, Dalian Institute of Technology, 1987.

  4. Goulden, I. P. & Jackson, D. M., Combinatorial Enumeration, Wiley, New York, 1983.

    Google Scholar 

  5. Knuth, D. E., Permutations, matrices and generalized Young tableaux,Pacific J. of Math.,34 (1970), 709–727.

    Google Scholar 

  6. Littlewood, D. E., The Theory of Group Characters, 2nd ed., Oxford University Press, 1950.

  7. Macdonald, I. G., Symmetric Functions and Hall Polynomials, Clarendon Press, Oxford, 1979.

    Google Scholar 

  8. MacMahon, P. A., Combinatory Analysis, Cambridge, 1915/1916.

  9. Mohanty, S. G., Lattice Path Counting and Applications, Academic press, New York, 1979.

    Google Scholar 

  10. Stanley, R. P., Theory and applications of plane partitions I & II,Studies in Appl. Math.,1 (1971). 167–188 &1 (1971), 259–279.

    Google Scholar 

  11. Wachs, M. L., Flagged Schur functions, Schubert polynomials and symmetrizing operators,J. of Combinatorial Theory, Series A,40 (1985), 276–289.

    Google Scholar 

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Wenchang, C. Dominance method for plane partitions III-flagged skew plane partitions. Acta Mathematica Sinica 5, 321–328 (1989). https://doi.org/10.1007/BF02107709

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  • DOI: https://doi.org/10.1007/BF02107709

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