threeVertexQuiver -- make a toric quiver on underlying graph with three vertices and a specified number of edges between each

Synopsis

Usage:

threeVertexQuiver E
Inputs:
- E, a list, number of edges between each pair of vertices
Optional inputs:
- Flow (missing documentation) => ..., default value "Canonical", specify what form of flow to use. This input can be either a string with values Canonical or Random, or else a list of integer values.
Outputs:
- Q, an instance of the type ToricQuiver,

Description

i1 : Q = threeVertexQuiver {1,2,3}

o1 = ToricQuiver{flow => {1, 1, 1, 1, 1, 1}                            }
                 IncidenceMatrix => | -1 -1 -1 -1 0  0  |
                                    | 1  0  0  0  -1 -1 |
                                    | 0  1  1  1  1  1  |
                 Q0 => {0, 1, 2}
                 Q1 => {{0, 1}, {0, 2}, {0, 2}, {0, 2}, {1, 2}, {1, 2}}
                 weights => {-4, -1, 5}

o1 : ToricQuiver

i2 : Q = threeVertexQuiver ({1,2,3}, Flow=>"Random")

o2 = ToricQuiver{flow => {24, 65, 71, 72, 19, 19}                      }
                 IncidenceMatrix => | -1 -1 -1 -1 0  0  |
                                    | 1  0  0  0  -1 -1 |
                                    | 0  1  1  1  1  1  |
                 Q0 => {0, 1, 2}
                 Q1 => {{0, 1}, {0, 2}, {0, 2}, {0, 2}, {1, 2}, {1, 2}}
                 weights => {-232, -14, 246}

o2 : ToricQuiver

i3 : Q = threeVertexQuiver ({1,2,3}, Flow=>{1, 2, 1, 3, 1, 4})

o3 = ToricQuiver{flow => {1, 2, 1, 3, 1, 4}                            }
                 IncidenceMatrix => | -1 -1 -1 -1 0  0  |
                                    | 1  0  0  0  -1 -1 |
                                    | 0  1  1  1  1  1  |
                 Q0 => {0, 1, 2}
                 Q1 => {{0, 1}, {0, 2}, {0, 2}, {0, 2}, {1, 2}, {1, 2}}
                 weights => {-7, -4, 11}

o3 : ToricQuiver

For the programmer

The object threeVertexQuiver is a function closure.