Trade spectra of complete partite graphs

  • Authors:

  • Elizabeth J. Billington;D. G. Hoffman

  • Affiliations:

  • Department of Mathematics,Centre for Discrete Mathematics,The University of Queensland,Brisbane,Queensland 4072,Australia;Department of Discrete and Statistical Sciences,Auburn University, Auburn, AL

  • Venue:
  • Discrete Mathematics
  • Year:
  • 2002

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Abstract

The trade spectrum of a graph G is essentially the set of all integers t for which there is a graph H whose edges can be partitioned into t copies of G in two entirely different ways. In this paper we determine the trade spectrum of complete partite graphs, in all but a few cases.