Determining a Set from the Cardinalities of its Intersections with Other Sets
1964 ◽
Vol 16
◽
pp. 94-97
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Let n be a positive integer and put N = {1, 2, . . . , n}. A collection {S1, S2, . . . , St} of subsets of N is called determining if, for any T ⊂ N, the cardinalities of the t intersections T ∩ Sj determine T uniquely. Let €1, €2, . . . , €n be n variables with range {0, 1}. It is clear that a determining collection {Sj) has the property that the sums
1961 ◽
Vol 5
(1)
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pp. 35-40
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1955 ◽
Vol 7
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pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1953 ◽
Vol 1
(3)
◽
pp. 119-120
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1963 ◽
Vol 6
(2)
◽
pp. 70-74
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1949 ◽
Vol 1
(1)
◽
pp. 48-56
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1966 ◽
Vol 18
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pp. 621-628
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1962 ◽
Vol 14
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pp. 565-567
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Keyword(s):
1981 ◽
Vol 33
(3)
◽
pp. 606-617
◽
1969 ◽
Vol 12
(5)
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pp. 545-565
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