Get the minimum cut between source and sink nodes

Get the minimum cut between source and sink nodes. This is the minimum total capacity of edges needed for removal in order to eliminate all paths from the source and sink nodes.

Usage

get_min_cut_between(graph, from, to)

Arguments

graph

A graph object of class dgr_graph.

from

The node ID for the source node.

to

The node ID for the sink or target node.

Value

A single numeric value representing the minimum total edge capacity removed to disconnect the source and sink nodes.

Examples

# Set a seed
suppressWarnings(RNGversion("3.5.0"))
set.seed(23)

# Create a cycle graph
graph <-
  create_graph() %>%
  add_cycle(n = 5)

# Determine the minimum cut
# between nodes `1` and `4`
graph %>%
  get_min_cut_between(
    from = 1,
    to = 2)
#> [1] 1

# Create a cycle graph with
# randomized values given to all
# edges as the `capacity` attribute
graph_capacity <-
  create_graph() %>%
  add_cycle(n = 5) %>%
  select_edges() %>%
  set_edge_attrs_ws(
    edge_attr = capacity,
    value =
      rnorm(
        n = count_edges(.),
        mean = 5,
        sd = 1)) %>%
  clear_selection()

# Determine the minimum cut
# between nodes `1` and `4` for
# this graph, where `capacity`is
# set as an edge attribute
graph_capacity %>%
  get_min_cut_between(
    from = 1,
    to = 2)
#> [1] 4.479822

# Create a full graph and then
# get the minimum cut requirement
# between nodes `2` and `8`
create_graph() %>%
  add_full_graph(n = 10) %>%
  get_min_cut_between(
    from = 2,
    to = 8)
#> [1] 9