Families of finite sets in which no intersection of \(\ell\) sets is covered by the union of \(s\) others

From MaRDI portal
Publication:696905

DOI10.1006/jcta.2002.3257zbMath1020.94027OpenAlexW2009085022MaRDI QIDQ696905

Anthony J. Macula, David C. Torney, Arkadii G. D'yachkov, Pavel A. Vilenkin

Publication date: 12 September 2002

Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jcta.2002.3257




Related Items (34)

Almost cover-free codesA group testing method for finding patterns in dataExact learning from an honest teacher that answers membership queriesImproved constructions for non-adaptive threshold group testingLinear Time Constructions of Some $$d$$-Restriction ProblemsNon-adaptive complex group testing with multiple positive setsSeparating codes and a new combinatorial search modelOn the complexity of neighbourhood learning in radio networksHypothesis group testing for disjoint pairsA survey on nonadaptive group testing algorithms through the angle of decodingNew combinatorial structures with applications to efficient group testing with inhibitorsImproved upper bounds for the rate of separating and completely separating codesA note on the uniqueness of \((w, r)\) cover-free codesNon-adaptive learning of a hidden hypergraphAsymptotic bounds for the rate of colored superimposed codesSmart elements in combinatorial group testing problems with more defectivesUniqueness of some optimal superimposed codesStrict group testing and the set basis problemPooling spaces associated with finite geometryAn upper bound of the number of tests in pooling designs for the error-tolerant complex modelNon-adaptive Complex Group Testing with Multiple Positive SetsCover-free codes and separating system codesAlmost cover-free codes and designsTransport schemes for topology-transparent schedulingAn unexpected meeting of four seemingly unrelated problems: graph testing, DNA complex screening, superimposed codes and secure key distributionBounds on the rate of separating codesThreshold and Majority Group TestingSuperimposed Codes and Threshold Group TestingSome new bounds for cover-free families through biclique coversBounds on the rate of disjunctive codesA class of error-correcting pooling designs over complexesNonadaptive algorithms for threshold group testingNon-adaptive Learning of a Hidden HypergraphAlmost disjunctive list-decoding codes



Cites Work


This page was built for publication: Families of finite sets in which no intersection of \(\ell\) sets is covered by the union of \(s\) others