bn:03825388n
Noun Concept
Categories: Articles with short description, Pseudorandomness, Graph families, Theoretical computer science
EN
extractor
EN
An {\displaystyle } -extractor is a bipartite graph with N {\displaystyle N} nodes on the left and M {\displaystyle M} nodes on the right such that each node on the left has D {\displaystyle D} neighbors, which has the added property that for any subset A {\displaystyle A} of the left vertices of size at least K {\displaystyle K}, the distribution on right vertices obtained by choosing a random node in A {\displaystyle A} and then following a random edge to get a node x on the right side is ϵ {\displaystyle \epsilon } -close to the uniform distribution in terms of total variation distance. Wikipedia
English:
mathematics
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EN
An {\displaystyle } -extractor is a bipartite graph with N {\displaystyle N} nodes on the left and M {\displaystyle M} nodes on the right such that each node on the left has D {\displaystyle D} neighbors, which has the added property that for any subset A {\displaystyle A} of the left vertices of size at least K {\displaystyle K}, the distribution on right vertices obtained by choosing a random node in A {\displaystyle A} and then following a random edge to get a node x on the right side is ϵ {\displaystyle \epsilon } -close to the uniform distribution in terms of total variation distance. Wikipedia
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