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A generalization of Completely Separating Systems

✍ Scribed by Matthias Böhm; Karsten Schölzel


Book ID
119227529
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
587 KB
Volume
312
Category
Article
ISSN
0012-365X

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Minimal Completely Separating Systems of
✍ André Kündgen; Dhruv Mubayi; Prasad Tetali 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 117 KB

Let n and k be fixed positive integers. A collection C of k-sets of [n] is a completely separating system if, for all distinct i, j # [n], there is an S # C for which i # S and j  S. Let R(n, k) denote the minimum size of such a C. Our results include showing that if n k is a sequence with k< 0, th