spectral_gap function

Spectral gap of a graph

The spectral (or eigen) gap of a graph is the absolute difference between the biggest and second biggest eigenvalue of the adjacency matrix. To compare spectral gaps across networks, the fraction can be used.

spectral_gap(g, method = "frac")

Arguments

• g: igraph object
• method: A string, either "frac" or "abs"

Returns

Numeric value

Details

The spectral gap is bounded between 0 and 1 if method="frac". The closer the value to one, the bigger the gap.

Examples

# The fractional spectral gap of a threshold graph is usually close to 1
g <- threshold_graph(50, 0.3)
spectral_gap(g, method = "frac")

Author(s)

David Schoch