Betti Numbers

Computes Betti numbers: \(\beta_0\) (components), \(\beta_1\) (loops), \(\beta_2\) (voids), etc.

Usage

betti_numbers(sc)

Arguments

sc

A simplicial_complex object.

Value

Named integer vector c(b0 = ..., b1 = ..., ...).

Examples

mat <- matrix(c(0,.6,.5,.6,0,.4,.5,.4,0), 3, 3)
colnames(mat) <- rownames(mat) <- c("A","B","C")
sc <- build_simplicial(mat, threshold = 0.3)
betti_numbers(sc)
#> b0 b1 b2 
#>  1  0  0