Variation Statistics on Compositions

نویسندگان

  • Margaret Archibald
  • Arnold Knopfmacher
  • Toufik Mansour
چکیده

In this paper we consider the absolute variation statistics of a composition σ = σ1 · · ·σm of n which is a measure of the sum of absolute differences between each consecutive pair of parts in a composition. This and some related statistics which we discuss, can also be interpreted within the context of bargraph polygons and bargraph walks of area n. In this context, absolute variation corresponds to the interior vertical perimeter of a bargraph polygon or to the interior vertical length of a bargraph walk. ∗Address for correspondence: The John Knopfmacher Centre for Applicable Analysis and Number Theory, Department of Mathematics, University of the Witwatersrand, P. O. Wits, 2050, Johannesburg, South Africa 2 M. Archibald et al. / Variation Statistics on Compositions

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عنوان ژورنال:
  • Fundam. Inform.

دوره 117  شماره 

صفحات  -

تاریخ انتشار 2012