Smart elements in combinatorial group testing problems with more defectives

Máté Vizer, Dániel Gerbner
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Abstract

In combinatorial group testing problems Questioner needs to find a defective element x ∈ [ n ] by testing subsets of [ n ] . In [18] the authors introduced a new model, where each element knows the answer for those queries that contain it and each element should be able to identify the defective one. In this article we continue to investigate this kind of models with more defective elements. We also consider related models inspired by secret sharing models, where the elements should share information among them to find out the defectives. Finally the adaptive versions of the different models are also investigated.
组合组测试中智能元素缺陷较多的问题
在组合群测试问题中,提问者需要通过测试[n]的子集来找到一个缺陷元素x∈[n]。在[18]中,作者引入了一个新模型,其中每个元素都知道包含它的查询的答案,并且每个元素都应该能够识别出有缺陷的元素。在本文中,我们继续研究这类有更多缺陷元素的模型。我们还考虑了受秘密共享模型启发的相关模型,其中元素之间应该共享信息以发现缺陷。最后对不同模型的自适应版本进行了研究。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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