public bool Equals(NakayamaPermutation <TVertex> otherPermutation)
{
if (otherPermutation is null)
{
return(false);
}
return(UnderlyingDictionary.EqualUpToOrder(otherPermutation.UnderlyingDictionary));
}
public SelfInjectiveQP <int> GetSelfInjectiveCycleQP(int numVertices, int firstVertex = DefaultFirstVertex)
{
if (numVertices < 3)
{
throw new ArgumentOutOfRangeException(nameof(numVertices));
}
var qp = UsefulQPs.GetCycleQP(numVertices, firstVertex);
int n = numVertices;
var dict = Enumerable.Range(firstVertex, n).ToDictionary(k => k, k => (k - 2 - firstVertex).Modulo(n) + firstVertex);
var nakayamaPermutation = new NakayamaPermutation <int>(dict);
var selfInjectiveQp = new SelfInjectiveQP <int>(qp, nakayamaPermutation);
return(selfInjectiveQp);
}
/// <summary>
/// Initializes a new instance of the <see cref="SelfInjectiveQP{TVertex}"/> class.
/// </summary>
/// <param name="qp">The quiver with potential.</param>
/// <param name="nakayamaPermutation">The Nakayama permutation.</param>
/// <remarks>Almost no sanity checks are performed on the parameters.</remarks>
public SelfInjectiveQP(QuiverWithPotential <TVertex> qp, NakayamaPermutation <TVertex> nakayamaPermutation)
{
QP = qp ?? throw new ArgumentNullException(nameof(qp));
NakayamaPermutation = nakayamaPermutation ?? throw new ArgumentNullException(nameof(nakayamaPermutation));
}