General Files

Main Mathematica Notebook

Generates the multigraphs and the determinants of the corresponding matrices. Each determinant should then be inserted in the general c++ file.

Part 1

Generates the list of all possible multigraphs.

Part 2

Produces the list of determinants of the matrices defined in Sec 4 of [GS]. Each of these determinants should then be inserted in the corresponding c++ file which determines the partitions that annihilate it, according to Algorithms 1 (B) and 2 (B) in Sec 6 of [GS]. A generic c++ file can be found in the link below. Running the c++ files produces the partition files OutputPart#.txt.

Determinants

Generic c++ File

After inserting the determinant associated to one of the multigraphs, this c++ file determines the partitions of c_1c_(n-1) for a given index that annihilate this determinant, according to Algorithms 1 (B) and 2 (B) in Section 6 of [GS]. Running the c++ files produces the partition files OutputPart#.txt (where # refers to the number of the multigraph).

Generic c++ File

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