On twizzler, zigzag and graceful terraces

نویسندگان

  • M. A. Ollis
  • Devin Willmott
چکیده

We present several constructions for terraces for cyclic groups that are zigzag terraces, graceful terraces or both. These allow us to complete the classification of imperfect twizzler terraces, unify several previously unrelated constructions of terraces from the literature, find terraces for some non-cyclic abelian groups, and show that for any given r the Oberwolfach Problem with parameters (r, r, s) has a cyclic 1-rotational solution for all sufficiently large odd s.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 51  شماره 

صفحات  -

تاریخ انتشار 2011