منابع مشابه
Two families of primitive minimally triangle-saturated graphs
The authors have previously shown [1] that to generate all trianglesaturated graphs (graphs of diameter at most 2), it suffices to begin with the primitive minimally triangle-saturated graphs. In the present paper two infinite families of primitive minimally triangle-saturated graphs are constructed: one family covers all odd orders n ≥ 3, the other all even orders n ≥ 4, and in each case all g...
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Lubell proved this by observing that the left-hand side is a probability: it is simply the probability that a maximal chain, chosen uniformly at random, intersects A. The LYM inequality implies that an antichain in P([n]) has size at most ( n bn/2c ) , the size of the ‘middle layer’ in P([n]). (This can also be proved by partitioning P([n]) into ( n bn/2c ) disjoint chains.) Bollobás’ Inequalit...
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In this paper, we study saturated two-level main effects designs which are commonly used for screening experiments. The QB criterion, which incorporates experimenters’ prior beliefs about the probability of factors being active is used to compare designs. We show that under priors with more weight on models of small size, p-efficient designs should be recommended; when models with more paramete...
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In a recent paper by this author, constructions of linear binary covering codes are considered. In this work, constructions and techniques of the earlier paper are developed and modified for q-ary linear nonbinary covering codes, q 2 3, and new constructions are proposed. The described constructions design an infinite family of codes with covering radius R based on a starting code of the same c...
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The Heart of Mersey cardiovascular disease prevention programme in the UK Launched in 2003, following a visit to Finland, the Heart of Mersey (HoM) cardiovascular disease (CVD) prevention programme aims to improve the health of the local population through structural changes at regional, national and European level.(1) Based on the evidence (ie raised blood cholesterol and blood pressure, and t...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1991
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1991-1052573-0