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#' Get a minimum spanning tree subgraph
#'
#' @description
#'
#' Get a minimum spanning tree subgraph for a connected graph of class
#' `dgr_graph`.
#'
#' @inheritParams render_graph
#'
#' @return A graph object of class `dgr_graph`.
#'
#' @examples
#' # Create a random graph using the
#' # `add_gnm_graph()` function
#' graph <-
#' create_graph() %>%
#' add_gnm_graph(
#' n = 10,
#' m = 15,
#' set_seed = 23)
#'
#' # Obtain Jaccard similarity
#' # values for each pair of
#' # nodes as a square matrix
#' j_sim_matrix <-
#' graph %>%
#' get_jaccard_similarity()
#'
#' # Create a weighted, undirected
#' # graph from the resultant matrix
#' # (effectively treating that
#' # matrix as an adjacency matrix)
#' graph <-
#' j_sim_matrix %>%
#' from_adj_matrix(weighted = TRUE)
#'
#' # The graph in this case is a fully connected graph
#' # with loops, where jaccard similarity values are
#' # assigned as edge weights (edge attribute `weight`);
#' # The minimum spanning tree for this graph is the
#' # connected subgraph where the edges retained have
#' # the lowest similarity values possible
#' min_spanning_tree_graph <-
#' graph %>%
#' transform_to_min_spanning_tree() %>%
#' copy_edge_attrs(
#' edge_attr_from = weight,
#' edge_attr_to = label) %>%
#' set_edge_attrs(
#' edge_attr = fontname,
#' values = "Helvetica") %>%
#' set_edge_attrs(
#' edge_attr = color,
#' values = "gray85") %>%
#' rescale_edge_attrs(
#' edge_attr_from = weight,
#' to_lower_bound = 0.5,
#' to_upper_bound = 4.0,
#' edge_attr_to = penwidth)
#'
#' @export
transform_to_min_spanning_tree <- function(graph) {
# Validation: Graph object is valid
check_graph_valid(graph)
# Transform the graph to an igraph object
igraph <- to_igraph(graph)
# Get the minimum spanning tree
igraph_mst <- igraph::mst(igraph)
# Generate the graph object from an igraph graph
from_igraph(igraph_mst)
}
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