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Height

Description

This is an optional argument that can be positive integer values, which and which is used in quiver constructor methods when the optional argument for flow is set to random Flow => "Random". The Height argument sets the maximum value for the integer-valued random numhber generator so that values in the flow are chosen from the interval [0, Height).

i1 : Q = toricQuiver(matrix({{-1,-1,-1,-1},{0,0,1,1},{1,1,0,0}}), Flow => "Random")

o1 = ToricQuiver{flow => {3, 7, 8, 1}                  }
                 IncidenceMatrix => | -1 -1 -1 -1 |
                                    | 1  1  0  0  |
                                    | 0  0  1  1  |
                 Q0 => {0, 1, 2}
                 Q1 => {{0, 1}, {0, 1}, {0, 2}, {0, 2}}
                 weights => {-19, 10, 9}

o1 : ToricQuiver
i2 : Q = toricQuiver(matrix({{-1,-1,-1,-1},{0,0,1,1},{1,1,0,0}}), Flow => "Random", Height => 100)

o2 = ToricQuiver{flow => {19, 91, 72, 19}              }
                 IncidenceMatrix => | -1 -1 -1 -1 |
                                    | 1  1  0  0  |
                                    | 0  0  1  1  |
                 Q0 => {0, 1, 2}
                 Q1 => {{0, 1}, {0, 1}, {0, 2}, {0, 2}}
                 weights => {-201, 110, 91}

o2 : ToricQuiver

See also

Functions with optional argument named Height:

  • bipartiteQuiver(...,Height=>...) -- see bipartiteQuiver -- make a toric quiver on underlying bipartite graph
  • chainQuiver(...,Height=>...) -- see chainQuiver -- make a toric quiver on underlying graph in the form of a chain
  • threeVertexQuiver(...,Height=>...) -- see threeVertexQuiver -- make a toric quiver on underlying graph with three vertices and a specified number of edges between each
  • toricQuiver(...,Height=>...) -- see toricQuiver -- the toricQuiver constructor

For the programmer

The object Height is a symbol.


The source of this document is in /build/reproducible-path/macaulay2-1.25.05+ds/M2/Macaulay2/packages/ThinSincereQuivers.m2:3279:0.