Combinatorial Trades: A Survey of Recent Results

  • Elizabeth J. Billington
Part of the Mathematics and Its Applications book series (MAIA, volume 563)


The concept of a trade in a combinatorial structure has existed for some years now. However, in the last five years or so there has been a great deal of activity in the area. This survey paper builds upon the one by Khosrovshahi, Maimani and Torabi which appeared in Discrete Applied Mathematics (Volume 95, pp. 361–176) in 1999. In the short time since that survey appeared, the number of papers in the area has almost doubled. Trades are used in designs and latin squares; they also crop up in graph theory. In this paper the most recent work on trades is surveyed, with applications given.


Trade Volume Triple System Intersection Problem Steiner Triple System Balance Incomplete Block Design 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • Elizabeth J. Billington
    • 1
  1. 1.Department of MathematicsThe University of QueenslandBrisbaneAustralia

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