influential (version 1.1.2)

sirir: SIR-based Influence Ranking

Description

This function is achieved by the integration susceptible-infected-recovered (SIR) model with the leave-one-out cross validation technique and ranks network nodes based on their true universal influence. One of the applications of this function is the assessment of performance of a novel algorithm in identification of network influential nodes.

Usage

sirir(
  graph,
  vertices = V(graph),
  beta = 0.5,
  gamma = 1,
  no.sim = igraph::vcount(graph) * 100,
  seed = 1234
)

Arguments

graph

A graph (network) of the igraph class.

vertices

A vector of desired vertices, which could be obtained by the V function.

beta

Non-negative scalar. The rate of infection of an individual that is susceptible and has a single infected neighbor. The infection rate of a susceptible individual with n infected neighbors is n times beta. Formally this is the rate parameter of an exponential distribution.

gamma

Positive scalar. The rate of recovery of an infected individual. Formally, this is the rate parameter of an exponential distribution.

no.sim

Integer scalar, the number of simulation runs to perform SIR model on for the original network as well perturbed networks generated by leave-one-out technique. You may choose a different no.sim based on the available memory on your system.

seed

A single value, interpreted as an integer to be used for random number generation

Value

A two-column dataframe; a column containing the difference values of the original and perturbed networks and a column containing node influence rankings

See Also

sir for a complete description on SIR model.

Examples

# NOT RUN {
set.seed(1234)
My_graph <- igraph::sample_gnp(n=50, p=0.05)
GraphVertices <- V(My_graph)
Influence.Ranks <- sirir(graph = My_graph, vertices = GraphVertices,
                         beta = 0.5, gamma = 1, no.sim = 10, seed = 1234)
# }