More greedy defining sets in Latin squares

نویسنده

  • G. H. John van Rees
چکیده

A Greedy Defining Set is a set of entries in a Latin Square with the property that when the square is systematically filled in with a greedy algorithm, the greedy algorithm succeeds. Let g(n) be the smallest defining set for any Latin Square of order n. We give theorems on the upper bounds of gn and a table listing upper bounds of gn for small values of n. For a circulant Latin square, we find that the size of the smallest Greedy Defining Set is b (n(n−1) 6 c.

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عنوان ژورنال:
  • Australasian J. Combinatorics

دوره 44  شماره 

صفحات  -

تاریخ انتشار 2009