Some new partial orderings on Sn and Sn×Sn |
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Authors: | H W Block D Chhetry Z Fang and A R Sampson |
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Institution: | Department of Mathematics and Statistics, University of Pittsburgh, Pittsburgh, PA 15260, USA |
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Abstract: | A new class of partial orderings on Sn, the set of permutations of {1,…,n}, is given. Each of these partial orderings is shown to be a subordering of a recently described partial ordering on Sn (Block, Chhetry, Fang and Sampson (1990)) which is related to Schriever's (1987) more associated ordering on bivariate distributions. Also given is an extension of three known partial orders on Sn to partial orders on Sn×Sn. These extensions facilitate the study of functions from Sn×Sn into
, which preser these partial orderings, thereby, providing a methodology for extending the notion of arrangement increasing functions. |
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Keywords: | Partial order permutation more associated arrangement increasing |
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