ApCoCoA-1:BB.NDneighbors

BB.NDneighbors

Compute a list of next-door neighbors.

Syntax

BB.NDneighbors(OO:LIST):LIST

Description

Computes the list of next-door neighbors in the border of the order ideal OO. The input is a list OO of terms that specify an order ideal. The output is a list of triples <formula>[i,j,k]</formula> such that <formula>b_i = x_k * b_j</formula>.

• @param OO A list of terms representing an order ideal.

• @return A list of next-door neighbors of OO.

Example

Use Q[x,y,z];
BB.NDneighbors([1,x]);
[[3, 1, 1], [4, 2, 1]]
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BB.ASneighbors