Normalize Adjacency Matrix — normalize

This function normalizes an adjacency matrix by dividing each element by the product of the square root of the corresponding row and column sums. Optionally, it can also symmetrize the normalized matrix by averaging it with its transpose.

Usage

normalize_adjacency(
  sm,
  symmetric = TRUE,
  handle_isolates = c("self_loop", "keep_zero", "drop")
)

Arguments

sm: A sparse adjacency matrix representing the graph.
symmetric: A logical value indicating whether to symmetrize the matrix after normalization (default: TRUE).
handle_isolates: How to treat zero-degree nodes when normalizing: "self_loop" adds a self-loop (default), "keep_zero" leaves them as zero, or "drop" removes them from the matrix.

Value

A normalized and, if requested, symmetrized adjacency matrix.

Examples

set.seed(123)
A <- matrix(runif(100), 10, 10)
A_normalized <- normalize_adjacency(A)