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PMC:7795931 / 12161-13565 JSONTXT

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LitCovid-sentences

Id Subject Object Predicate Lexical cue
T71 0-178 Sentence denotes Information network: the network has (N+1) nodes, first N are individual nodes representing N individuals denoted as i,i=1,2,⋯N, and one government information node denoted as j.
T72 179-397 Sentence denotes The degree of an individual node i is denoted as yi, which obeys a power-law distribution, that is, Fyi∝yi−v, where F(·) is the CDF and yi satisfies ϵ≤1∕yi≤1, where ϵ is a small constant to avoid the degree to blow up.
T73 398-482 Sentence denotes Degree and degree distribution are concepts used in graph theory and network theory.
T74 483-585 Sentence denotes A graph (or network) consists of a number of vertices (nodes) and the edges (links) that connect them.
T75 586-681 Sentence denotes The number of edges (links) connected to each vertex (node) is the degree of the vertex (node).
T76 682-979 Sentence denotes The degree distribution is a general description of the number of degrees of vertices (nodes) in a graph (or network), and, for random graphs, the degree distribution is the probability distribution of the number of degrees of vertices in the graph, which usually assumes a power-law distribution.
T77 980-1039 Sentence denotes Throughout the following analysis, we take v=−1 and ϵ=0.01.
T78 1040-1286 Sentence denotes The government node j (representing real-world government) discloses information to every individual node and can only obtain information from n1 (n1≪N) (The notation “≪” means that the number n1 must be far less than the number N.) random nodes.
T79 1287-1404 Sentence denotes The neighborhood of an individual node i is the set of all other nodes (including j) it connects with, denoted as Oi.