The Disjoint m-Flower Intersection Problem for Latin Squares

نویسندگان

  • James G. Lefevre
  • Thomas A. McCourt
چکیده

An m-flower in a latin square is a set of m entries which share either a common row, a common column, or a common symbol, but which are otherwise distinct. Two m-flowers are disjoint if they share no common row, column or entry. In this paper we give a solution of the intersection problem for disjoint m-flowers in latin squares; that is, we determine precisely for which triples (n,m, x) there exists a pair of latin squares of order n whose intersection consists exactly of x disjoint m-flowers.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 18  شماره 

صفحات  -

تاریخ انتشار 2011