#' @title is.solvable
#'
#' @description Determines whether a task is solvable
#'
#' @details Determines whether a task is solvable
#' @author Ben Baumer
#'
#' @param ccg collaborative composite graph
#' @param w vertex id corresponding to the task
#' @param ... Arguments to be passed to compgraph
#'
#' @return TRUE or FALSE
#'
#' @export
#' @examples
#' n = 20
#' p = 1/2
#' G = ccg.game(n, p)
#' is.solvable(G, 3)
#'
#'
is.solvable = function (ccg, wId = 1, ...) {
difficulty = V(ccg$g2)$difficulty[wId]
g.s = assigned(ccg, wId)
if (collaboration(g.s, ctype = ccg$ctype) >= difficulty) {
return(TRUE)
} else {
return(FALSE)
}
}
#' @title assigned
#'
#' @description Figure out who is assigned to a particular task
#'
#' @details Figure out who is assigned to a particular task
#' @author Ben Baumer
#'
#' @param ccg collaborative composite graph
#' @param w vertex id corresponding to the task
#' @param ... Arguments to be passed to compgraph
#'
#' @return An igraph object consisting of the subgraph of the social
#' network induced by those researchers assigned to the task
#'
#' @export
#' @examples
#' n = 20
#' p = 1/2
#' ccg = ccg.game(n, p)
#' assigned(ccg, 3)
#'
#'
assigned = function (ccg, wId = 1, ...) {
rId = min(which(V(ccg$R)$g2.vId == wId))
researchers = neighbors(ccg$R, rId)
g.s = induced.subgraph(ccg$g1, researchers)
return(g.s)
}
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