منابع مشابه
Latin squares and their defining sets
A Latin square L(n, k) is a square of order n with its entries colored with k colors so that all the entries in a row or column have different colors. Let d(L(n, k)) be the minimal number of colored entries of an n × n square such that there is a unique way of coloring of the yet uncolored entries in order to obtain a Latin square L(n, k). In this paper we discuss the properties of d(L(n, k)) f...
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We define the notion of critical set of an F-square, following the definition of critical set in latin squares, and then give critical sets for certain classes of F-squares. We also generalise certain results obtained for critical sets of latin squares, and look at minimal such sets. We show that critical sets of F-squares need to be studied as well as critical sets for latin squares as the tec...
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The terminology needs a brief explanation. A set S ⊂ R2 is said to contain its circle centers if, for any three non-collinear points from S , the center of the circle through those points is always in S ; in other words, if S contains the vertices of any triangle, then it also contains the triangle’s circumcenter. Several solutions were quickly submitted, and two (outlined in Exercises 1 and 2 ...
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ژورنال
عنوان ژورنال: Journal d'Analyse Mathématique
سال: 2018
ISSN: 0021-7670,1565-8538
DOI: 10.1007/s11854-018-0021-3