sample_last_cit: Random citation graphs

In igraph: Network Analysis and Visualization

Random citation graphs

Description

sample_last_cit() creates a graph, where vertices age, and gain new connections based on how long ago their last citation happened.

Usage

sample_last_cit(
  n,
  edges = 1,
  agebins = n/7100,
  pref = (1:(agebins + 1))^-3,
  directed = TRUE
)

last_cit(...)

sample_cit_types(
  n,
  edges = 1,
  types = rep(0, n),
  pref = rep(1, length(types)),
  directed = TRUE,
  attr = TRUE
)

cit_types(...)

sample_cit_cit_types(
  n,
  edges = 1,
  types = rep(0, n),
  pref = matrix(1, nrow = length(types), ncol = length(types)),
  directed = TRUE,
  attr = TRUE
)

cit_cit_types(...)

Arguments

n	Number of vertices.
edges	Number of edges per step.
agebins	Number of aging bins.
pref	Vector (sample_last_cit() and sample_cit_types() or matrix (sample_cit_cit_types()) giving the (unnormalized) citation probabilities for the different vertex types.
directed	Logical scalar, whether to generate directed networks.
...	Passed to the actual constructor.
types	Vector of length ‘n’, the types of the vertices. Types are numbered from zero.
attr	Logical scalar, whether to add the vertex types to the generated graph as a vertex attribute called ‘type’.

Details

sample_cit_cit_types() is a stochastic block model where the graph is growing.

sample_cit_types() is similarly a growing stochastic block model, but the probability of an edge depends on the (potentially) cited vertex only.

Value

A new graph.

Author(s)

Gabor Csardi [e-mail]

See Also

Random graph models (games) erdos.renyi.game(), sample_(), sample_bipartite(), sample_chung_lu(), sample_correlated_gnp(), sample_correlated_gnp_pair(), sample_degseq(), sample_dot_product(), sample_fitness(), sample_fitness_pl(), sample_forestfire(), sample_gnm(), sample_gnp(), sample_grg(), sample_growing(), sample_hierarchical_sbm(), sample_islands(), sample_k_regular(), sample_pa(), sample_pa_age(), sample_pref(), sample_sbm(), sample_smallworld(), sample_traits_callaway(), sample_tree()

igraph documentation built on Oct. 20, 2024, 1:06 a.m.