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On critical sets of a finite Moore family

✍ Scribed by Jean Diatta

Book ID
107435981
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
192 KB
Volume
3
Category
Article
ISSN
1862-5347

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A finite family of pairwise intersecting r-sets is a maximal r-clique if it cannot be extended to another r-clique by adding a new r-set. It is intersection critical if it is not possible to replace any edge by some of its proper subsets, without violating the intersection property. We prove that i

Arrow relations on families of finite se
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Watanabe, M., Arrow relations on families of finite sets, Discrete Mathematics 94 (1991) 53-64. Let n, m and k be positive integers. Let X be a set of cardinality n, and let 9 be a family of subsets of X. We write (n, m)-, (n -1, mk), when for all 9 with (S( em, there exists an element x of X such t