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Q-analysis of a simplicial complex

Source: R/simplicial_wrappers.R
hg_qanalysis.Rd

Q-connectivity (Atkin 1974): two maximal simplices are q-connected when they share a face of dimension at least q. Reports the number of q-connected components at every level and each node's highest level.

Usage

hg_qanalysis(sc)

Arguments

sc

A simplicial_complex from simplicial().

Value

A q_analysis object. Read it with hg_get(): the components per level (what = "q_levels", the default) or each node's highest level ("nodes").

References

Atkin, R. H. (1974). Mathematical Structure in Human Affairs. Heinemann.

See also

simplicial()

Examples

adj <- matrix(c(0, 1, 1, 0,
                1, 0, 1, 1,
                1, 1, 0, 1,
                0, 1, 1, 0), 4, 4, dimnames = list(letters[1:4], letters[1:4]))
hg_get(hg_qanalysis(simplicial(adj)))
#>   q components
#> 1 2          2
#> 2 1          1
#> 3 0          1