maximalUnstableSubquivers -- return the maximal subquivers that are unstable

Synopsis

Usage:

maximalUnstableSubquivers Q
Inputs:
- Q, an instance of the type ToricQuiver,
Optional inputs:
- ReturnSingletons (missing documentation) => a Boolean value, default value false, Whether or not to return singleton vertices subquivers
- Format (missing documentation) => a string, default value "list", format for representing the subquivers
Outputs:
- L, a hash table, consisting of two keys: Nonsingletons and Singletons

Description

this routine takes all of the possible subquivers of a given quiver Q and returns those that are both unstable and maximal with respect to the weight on the quiver Q

Subquivers are represented by lists of arrows, except in the case of subquivers that consist of singleton vertices.

i1 : maximalUnstableSubquivers bipartiteQuiver (2, 3)

o1 = HashTable{NonSingletons => {{0, 1, 2, 3}, {0, 1, 2, 4}, {0, 1, 2, 5}, {0, 3, 4, 5}, {1, 3, 4, 5}, {2, 3, 4, 5}}}

o1 : HashTable

For the programmer

The object maximalUnstableSubquivers is a function closure.