boundary_names: Calculation of boundary elements for quandle and rack...

In quhomology: Calculation of Homology of Quandles, Racks, Biquandles and Biracks

Description

This functions calculates the row and column names for both the quandle and the rack boundary matrix.

Usage

boundary_names(degree, k, degenerate)

Arguments

degree	Length of elements to be calculated. A positive integer.
k	Order of underlying rack/birack. This will be passed on to up/down action, if necessary. A positive integer.
degenerate	If true, remove degenerate entries (and hence calculate the names for the quandle boundary matrix). TRUE/FALSE.

Details

This calculates all possible permutations of elements in $Z_k$ of length $degree$. If degenerate is true, it loops through all of them, removing the degenerate ones (that is, those where $x_i=x_i+1$, for an element $x=(x_i)_0^degree)$).

Value

A matrix with $degree$ columns.

See Also

boundary_names_degenerate, boundary_matrix

Examples

boundary_names(3,3,TRUE)

quhomology documentation built on May 1, 2019, 8:44 p.m.