Theminimumnumberofe-vertex-coversamonghypergraphswithe edgesofgivenranks

Fei-Huang Chang, Hung‐Lin Fu, F. K. Hwang, Bingkai Lin · 2009

a b s t r a c t We study the problem that among all hypergraphs witheedges of ranksl1;:::;leand v vertices,whichhypergraphhastheleastnumberofvertex-coversofsizee.Theproblemis verydifficultandweonlygetsomepartialanswers.Weshowanapplicationofourresults toimprovetheerror-toleranceofapoolingdesignproposedintheliterature. '2008ElsevierB.V.Allrightsreserved.

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