/// <summary>
/// 单源最短路径会把一个点到其它所有点的最短路径算出来
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="graph"></param>
/// <param name="source"></param>
/// <param name="weightFuc"></param>
/// <returns></returns>
public static bool BellmanFord <T>(
this AdjacencyListGraph <T> graph,
AdjacencyVertex <T> source,
Func <AdjacencyListGraph <T>, AdjacencyVertex <T>, AdjacencyVertex <T>, int> weightFuc
) where T : IEquatable <T>
{
graph.InitializeSingleSource(source);
for (int i = 1; i <= graph.VertexLenght; i++)
{
foreach (var edge in graph.GetEdges())
{
graph.Relax(edge.Start, edge.End, weightFuc);
}
}
foreach (var edge in graph.GetEdges())
{
if (edge.Start.WeightBound >
Add(edge.End.WeightBound, weightFuc(graph, edge.Start, edge.End)))
{
return(false);
}
}
return(true);
}
/// <summary>
/// 有向无回路图
/// </summary>
/// <typeparam name="T"></typeparam>
/// <param name="graph"></param>
/// <param name="source"></param>
/// <param name="weightFuc"></param>
/// <returns></returns>
public static void DAGShortestPath <T>(
this AdjacencyListGraph <T> graph,
AdjacencyVertex <T> source,
Func <AdjacencyListGraph <T>, AdjacencyVertex <T>, AdjacencyVertex <T>, int> weightFuc
) where T : IEquatable <T>
{
graph.TopologicalSort();
graph.InitializeSingleSource(source);
var vertexs = graph.GetVertexs();
foreach (var orderVertex in vertexs)
{
var edges = graph.GetVertexEdge(orderVertex);
foreach (var edge in edges)
{
graph.Relax(edge.Start, edge.End, weightFuc);
}
}
}