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Plot Complementary Cumulative Degree Distribution (CCDF)

plot_CCDF.Rd

This function plots the complementary cumulative distribution function (CCDF) of node degrees in a network and optionally overlays power-law reference curves.

Usage

plot_CCDF(
  graph,
  keep_direction = TRUE,
  remove_singles = FALSE,
  show_PL = TRUE,
  PL_exponents = c(2, 3),
  colors = c("#000831", "#e41a1c", "darkgreen", "#9c52f2", "#b8b8ff"),
  label.size = 12
)

Arguments

graph

An igraph object representing the network to analyze or a data frame containing a symbolic edge list in the first two columns. Additional columns are considered as edge attributes.

keep_direction

Logical. Only for directed graphs. If TRUE, CCDF curves are drawn for 'in'-dgree, 'out'-degree, and 'all'-degree distributions. FALSE to ignore directionality.

remove_singles

Logical. If TRUE, nodes with degree 0 are removed from the graph before computing the CCDF. Default is FALSE.

show_PL

Logical. If TRUE, overlays theoretical power-law reference lines of the form \(P(K > k) \sim k^{-\gamma}\). Default is TRUE.

PL_exponents

Numeric vector. The \(\gamma\) exponents for the power-law curves. Default is c(2, 3).

colors

Optional character vector. Custom colors for the graph curve and power-law lines. If NULL, default colors are used.

label.size

Numeric. Font size for axis labels and theme. Passed to theme_minimal.

Value

A ggplot2 object showing the CCDF of node degrees on a log-log scale.

Examples

if (FALSE) { # \dontrun{
library(igraph)
g <- sample_pa(1000)
plot_CCDF(g, remove_singles = TRUE)
} # }