More greedy defining sets in Latin squares
نویسنده
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.
منابع مشابه
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ورودعنوان ژورنال:
- Australasian J. Combinatorics
دوره 44 شماره
صفحات -
تاریخ انتشار 2009