/// <summary>
/// Creates a specific diagram and highlight the longest path found through the graph analysis.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void LongestPath(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary <Node, RadDiagramShape> nodeMap;
Dictionary <Edge, RadDiagramConnection> edgeMap;
// this creates the specific graph
var g = this.diagram.CreateDiagram(new List <string> {
"1,2", "2,3", "2,4", "3,5", "4,5", "5,6", "2,7", "7,8", "8,9", "9,10", "10,6", "20,21", "21,22", "20,25"
}, out nodeMap, out edgeMap, GraphExtensions.CreateShape, this.RandomSizeCheck.IsChecked.HasValue && this.RandomSizeCheck.IsChecked.Value);
// note that this works on disconnected graphs as well as on connected ones
var path = g.FindLongestPath();
// highlight the longest path if one is found
if (path != null)
{
this.Highlight(path, nodeMap, edgeMap, this.HighlighBrush);
}
// use a layout which displays the result best
diagram.Layout(LayoutType.Tree, new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeUp,
VerticalSeparation = 80d,
HorizontalSeparation = 50d
});
}
/// <summary>
/// Creates a random connected graph and displayes a (non-unique) spanning tree using Prim's algorithm.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void Prims(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary <Node, RadDiagramShape> nodeMap;
Dictionary <Edge, RadDiagramConnection> edgeMap;
var randomConnectedGraph = GraphExtensions.CreateRandomConnectedGraph(10);
var root = randomConnectedGraph.FindTreeRoot();
var g = diagram.CreateDiagram(randomConnectedGraph, out nodeMap, out edgeMap, GraphExtensions.CreateShape, specs.RandomShapeSize);
// making it undirected will reach all the nodes since the random graph is connected
g.IsDirected = false;
var tree = g.PrimsSpanningTree(root);
if (tree != null)
{
this.Highlight(tree, nodeMap, edgeMap, this.HighlighBrush);
}
var settings = new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeDown,
VerticalSeparation = 50d,
HorizontalSeparation = 80d,
};
diagram.Layout(LayoutType.Tree, settings);
}
/// <summary>
/// Creates a specific graph which has some obvious cycles and lets the graph analysis highlight them, thus confirming the cycles
/// which can be easily found manually. The analysis goes of course beyond what the human eye can see and would find cycles in an arbitrary graph.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void Cycles(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary <Node, RadDiagramShape> nodeMap;
Dictionary <Edge, RadDiagramConnection> edgeMap;
var g = diagram.CreateDiagram(new List <string> {
"1,2", "3,1", "2,4", "4,3", "4,5", "10,11", "11,12", "12,10"
}, out nodeMap,
out edgeMap, specs.CreateShape, specs.RandomShapeSize);
var cycles = g.FindCycles();
if (cycles.Count > 0)
{
foreach (var cycle in cycles)
{
var path = new GraphPath <Node, Edge>();
cycle.ToList().ForEach(path.AddNode);
this.Highlight(path, nodeMap, edgeMap, specs.HighlightBrush);
}
}
diagram.Layout(LayoutType.Tree, new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeRight,
VerticalSeparation = 50d,
HorizontalSeparation = 80d
});
}
/// <summary>
/// Creates a random connected graph and displayes a (non-unique) spanning tree using Prim's algorithm.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void Prims(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary<Node, RadDiagramShape> nodeMap;
Dictionary<Edge, RadDiagramConnection> edgeMap;
var randomConnectedGraph = GraphExtensions.CreateRandomConnectedGraph(10);
var root = randomConnectedGraph.FindTreeRoot();
var g = diagram.CreateDiagram(randomConnectedGraph, out nodeMap, out edgeMap, GraphExtensions.CreateShape, specs.RandomShapeSize);
// making it undirected will reach all the nodes since the random graph is connected
g.IsDirected = false;
var tree = g.PrimsSpanningTree(root);
if (tree != null) this.Highlight(tree, nodeMap, edgeMap, this.HighlighBrush);
var settings = new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeDown,
VerticalSeparation = 50d,
HorizontalSeparation = 80d,
};
diagram.Layout(LayoutType.Tree, settings);
}
/// <summary>
/// Creates a specific diagram and highlight the longest path found through the graph analysis.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void LongestPath(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary<Node, RadDiagramShape> nodeMap;
Dictionary<Edge, RadDiagramConnection> edgeMap;
// this creates the specific graph
var g = this.diagram.CreateDiagram(new List<string> { "1,2", "2,3", "2,4", "3,5", "4,5", "5,6", "2,7", "7,8", "8,9", "9,10", "10,6", "20,21", "21,22", "20,25" }, out nodeMap, out edgeMap, GraphExtensions.CreateShape, this.RandomSizeCheck.IsChecked.HasValue && this.RandomSizeCheck.IsChecked.Value);
// note that this works on disconnected graphs as well as on connected ones
var path = g.FindLongestPath();
// highlight the longest path if one is found
if (path != null) this.Highlight(path, nodeMap, edgeMap, this.HighlighBrush);
// use a layout which displays the result best
diagram.Layout(LayoutType.Tree, new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeUp,
VerticalSeparation = 80d,
HorizontalSeparation = 50d
});
}
/// <summary>
/// Creates a specific graph which has some obvious cycles and lets the graph analysis highlight them, thus confirming the cycles
/// which can be easily found manually. The analysis goes of course beyond what the human eye can see and would find cycles in an arbitrary graph.
/// </summary>
/// <param name="diagram">The diagram.</param>
/// <param name="specs">The specs.</param>
private void Cycles(RadDiagram diagram, GraphGenerationSpecifications specs)
{
diagram.Clear();
Dictionary<Node, RadDiagramShape> nodeMap;
Dictionary<Edge, RadDiagramConnection> edgeMap;
var g = diagram.CreateDiagram(new List<string> { "1,2", "3,1", "2,4", "4,3", "4,5", "10,11", "11,12", "12,10" }, out nodeMap,
out edgeMap, specs.CreateShape, specs.RandomShapeSize);
var cycles = g.FindCycles();
if (cycles.Count > 0)
{
foreach (var cycle in cycles)
{
var path = new GraphPath<Node, Edge>();
cycle.ToList().ForEach(path.AddNode);
this.Highlight(path, nodeMap, edgeMap, specs.HighlightBrush);
}
}
diagram.Layout(LayoutType.Tree, new TreeLayoutSettings
{
TreeLayoutType = TreeLayoutType.TreeRight,
VerticalSeparation = 50d,
HorizontalSeparation = 80d
});
}