type_games: Graph games based on different node types

In tidygraph: A Tidy API for Graph Manipulation

Graph games based on different node types

Description

This set of games are build around different types of nodes and simulating their interaction. The nature of their algorithm is described in detail at the linked igraph documentation.

Usage

play_preference(
  n,
  n_types,
  p_type = rep(1, n_types),
  p_pref = matrix(1, n_types, n_types),
  fixed = FALSE,
  directed = TRUE,
  loops = FALSE
)

play_preference_asym(
  n,
  n_types,
  p_type = matrix(1, n_types, n_types),
  p_pref = matrix(1, n_types, n_types),
  loops = FALSE
)

play_bipartite(n1, n2, p, m, directed = TRUE, mode = "out")

play_traits(
  n,
  n_types,
  growth = 1,
  p_type = rep(1, n_types),
  p_pref = matrix(1, n_types, n_types),
  callaway = TRUE,
  directed = TRUE
)

play_citation_type(
  n,
  growth,
  types = rep(0, n),
  p_pref = rep(1, length(unique(types))),
  directed = TRUE
)

Arguments

n, n1, n2	The number of nodes in the graph. For bipartite graphs n1 and n2 specifies the number of nodes of each type.
n_types	The number of different node types in the graph
p_type	The probability that a node will be the given type. Either a vector or a matrix, depending on the game
p_pref	The probability that an edge will be made to a type. Either a vector or a matrix, depending on the game
fixed	Should n_types be understood as a fixed number of nodes for each type rather than as a probability
directed	Should the resulting graph be directed
loops	Are loop edges allowed
p	The probabilty of an edge occuring
m	The number of edges in the graph
mode	The flow direction of edges
growth	The number of edges added at each iteration
callaway	Use the callaway version of the trait based game
types	The type of each node in the graph, enumerated from 0

Value

A tbl_graph object

Functions

• play_preference(): Create graphs by linking nodes of different types based on a defined probability. See igraph::sample_pref()

• play_preference_asym(): Create graphs by linking nodes of different types based on an asymmetric probability. See igraph::sample_asym_pref()

• play_bipartite(): Create bipartite graphs of fixed size and edge count or probability. See igraph::sample_bipartite()

• play_traits(): Create graphs by evolving a graph with type based edge probabilities. See igraph::sample_traits() and igraph::sample_traits_callaway()

• play_citation_type(): Create citation graphs by evolving with type based linking probability. See igraph::sample_cit_types() and igraph::sample_cit_cit_types()

See Also

Other graph games: component_games, evolution_games, sampling_games

Examples

plot(play_bipartite(20, 30, 0.4))

tidygraph documentation built on Feb. 16, 2023, 10:40 p.m.