Cycles, wheels, and gears in finite planes

نویسندگان

  • Jamie Peabody
  • Oscar Vega
  • Jordan White
چکیده

The existence of a primitive element of GF (q) with certain properties is used to prove that all cycles that could theoretically be embedded in AG(2, q) and PG(2, q) can, in fact, be embedded there (i.e. these planes are ‘pancyclic’). We also study embeddings of wheel and gear graphs in arbitrary projective planes.

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عنوان ژورنال:
  • Contributions to Discrete Mathematics

دوره 8  شماره 

صفحات  -

تاریخ انتشار 2013