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The Computer Journal 2003 46(1):106-113; doi:10.1093/comjnl/46.1.106
© 2003 by British Computer Society
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Loopless Generation of Schröder Trees

James F. Korsh1 and Paul S. LaFollette1

1 Department of Computer and Information Science, Temple University Email: korsch@temple.edu, lafollet@temple.edu

The well-known Schröder numbers have appeared in different combinatorial contexts, including Schröder trees and well-weighted binary trees. The only loopless algorithm for generating Schröder trees actually generated representations for their well-weighted binary tree counterparts. This paper presents the first loopless algorithms for directly generating Schröder tree representations. They use a new loopless algorithm for generating $k$-compositions of $n$ in inverse lexicographic order.


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