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Some correspondences involving the schröder numbers and relations

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Combinatorial Mathematics

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 686))

Abstract

The Schröder relations are put into correspondence with a variety of other objects of combinatorial interest, including bushes, foliated trees, lattice paths with diagonal steps and certain sorts of two-coloured objects. A distinction between left and right Schröder relations is used in obtaining some of these correspondenced; others involve the use of ternary codes. By attending also to subsidiary features of the objects considered, interpretations of the Schröder numbers are obtained and some comparable results for the Motzkin numbers are then deduced.

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Author information

Authors and Affiliations

  1. Mathematical Institute, Oxford, England

    D. G. Rogers

  2. Department of Mathematics, University of Western Australia, USA

    D. G. Rogers

  3. Department of Mathematics, Howard University, USA

    L. W. Shapiro

Authors
  1. D. G. Rogers
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  2. L. W. Shapiro
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Editor information

D. A. Holton Jennifer Seberry

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© 1978 Springer-Verlag

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Rogers, D.G., Shapiro, L.W. (1978). Some correspondences involving the schröder numbers and relations. In: Holton, D.A., Seberry, J. (eds) Combinatorial Mathematics. Lecture Notes in Mathematics, vol 686. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062541

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  • DOI: https://doi.org/10.1007/BFb0062541

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08953-7

  • Online ISBN: 978-3-540-35702-5

  • eBook Packages: Springer Book Archive

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