combinatorial_laplacian: Computes the Combinatorial Laplacian for 0- and 1-forms.

In CamaraLab/RayleighSelection: An R package for feature selection in topological spaces.

Description

Given a nerve or a clique complex, it computes the Combinatorial Laplacians for 0- and 1-forms and the weights of 0- and 1-simplices.

Usage

combinatorial_laplacian(g2, one_forms = TRUE, weights = FALSE)

Arguments

g2	an object of the class simplicial containing the nerve or clique complex.
one_forms	when set FALSE only the Combinatorial Laplacian for 0-forms is computed. By default is set to TRUE.
weights	when set to TRUE it takes 2-simplices into account when computing weights. By default is set to FALSE.

Value

Returns a list with the Combinatorial Laplacians for 0- and 1-forms and the weights for 0- and 1-simplices.

Examples

library(RayleighSelection)
gy <- nerve_complex(list(c(1,4,6,10), c(1,2,7), c(2,3,8), c(3,4,9,10), c(4,5)))
combinatorial_laplacian(gy)

CamaraLab/RayleighSelection documentation built on Aug. 16, 2021, 12:01 p.m.