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    Random-connection Model

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    Definition

    A random-connection model (RCM) is a graph-theoretic model of continuum percolation theory characterized by the existence of a stationary point process X and a non-increasing function g:R^+->[0, 1] which together determine a methodology for drawing edges between various vertex points in R^d for some d. In this case, the function g is said to be a connection function and the RCM is said to be driven by X. The model itself is denoted by (X, g).