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#' Get the minimum graph eccentricity
#'
#' @description
#'
#' Get the radius of a graph, which is the smallest eccentricity in the graph.
#' The graph eccentricity of a node is its shortest path from the farthest other
#' node in the graph.
#'
#' @inheritParams render_graph
#' @param direction Using `all` (the default), the search will ignore edge
#' direction while traversing through the graph. With `out`, measurements of
#' paths will be from a node whereas with `in`, measurements of paths will be
#' to a node.
#'
#' @return A single numeric value representing the minimum eccentricity of the
#' graph.
#'
#' @examples
#' # Create a cycle graph
#' graph <-
#' create_graph() %>%
#' add_cycle(n = 5)
#'
#' # Determine the graph's minimum
#' # eccentricity
#' graph %>%
#' get_min_eccentricity()
#'
#' # Create a full graph and then
#' # get the minimum eccentricity
#' # value for that
#' create_graph() %>%
#' add_full_graph(n = 10) %>%
#' get_min_eccentricity()
#'
#' @export
get_min_eccentricity <- function(
graph,
direction = "all"
) {
# Validation: Graph object is valid
check_graph_valid(graph)
# Ensure that values provided for the
# `direction` argument are from the
# valid options
rlang::arg_match0(direction, c("all", "in", "out"))
# If the graph is empty, then return NA
if (nrow(graph$nodes_df) == 0) {
return(NA_real_)
}
# Convert the graph to an igraph object
ig_graph <- to_igraph(graph)
# Get the minimum eccentricity of the graph
igraph::radius(ig_graph, mode = direction)
}
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