public void IsoOnlyFunctionalNotIso()
{
GraphBuilder gh1 = new GraphBuilder();
GraphBuilder gh2 = new GraphBuilder();
Vertex root1 = gh1.InitGraph("Root", "label");
Vertex root2 = gh2.InitGraph("Root", "label");
Vertex[] g1nodes = new Vertex[2];
Vertex[] g2nodes = new Vertex[2];
g1nodes[0] = gh1.AddVertex("NodeType1", "a");
g1nodes[1] = gh1.AddVertex("NodeType2", "b");
g2nodes[1] = gh2.AddVertex("NodeType1", "a");
g2nodes[0] = gh2.AddVertex("NodeType2", "b");
gh1.AddFunctionalTransition(root1, g1nodes[0], "l0");
gh1.AddFunctionalTransition(root1, g1nodes[1], "l1");
gh2.AddFunctionalTransition(root2, g2nodes[1], "l0");
gh2.AddFunctionalTransition(root2, g2nodes[0], "l2");
RootedLabeledDirectedGraph g1 = gh1.GetGraph();
RootedLabeledDirectedGraph g2 = gh2.GetGraph();
Map <Vertex, Vertex> iso1 = GraphIsomorphism.ComputeIsomorphism1(g1, g2);
Map <Vertex, Vertex> iso2 = GraphIsomorphism.ComputeIsomorphism2(g1, g2);
Map <Vertex, Vertex> isoU = GraphIsomorphism.ComputeIsomorphismUllmann(g1, g2);
Assert.IsNull(iso1);
Assert.IsNull(iso2);
Assert.IsNull(isoU);
}
public void IsoNonSingletonBuckets()
{
GraphBuilder gh1 = new GraphBuilder();
GraphBuilder gh2 = new GraphBuilder();
Vertex root1 = gh1.InitGraph("Root", "label");
Vertex root2 = gh2.InitGraph("Root", "label");
Vertex[] g1nodes = new Vertex[2];
Vertex[] g2nodes = new Vertex[2];
g1nodes[0] = gh1.AddVertex("NodeType1", "a");
g1nodes[1] = gh1.AddVertex("NodeType1", "a");
g2nodes[1] = gh2.AddVertex("NodeType1", "a");
g2nodes[0] = gh2.AddVertex("NodeType1", "a");
gh1.AddRelationalTransition(root1, g1nodes[0], "l0");
gh1.AddRelationalTransition(root1, g1nodes[1], "l0");
gh2.AddRelationalTransition(root2, g2nodes[1], "l0");
gh2.AddRelationalTransition(root2, g2nodes[0], "l0");
RootedLabeledDirectedGraph g1 = gh1.GetGraph();
RootedLabeledDirectedGraph g2 = gh2.GetGraph();
Map <Vertex, Vertex> iso1 = GraphIsomorphism.ComputeIsomorphism1(g1, g2);
Map <Vertex, Vertex> iso2 = GraphIsomorphism.ComputeIsomorphism2(g1, g2);
Map <Vertex, Vertex> isoU = GraphIsomorphism.ComputeIsomorphismUllmann(g1, g2);
Assert.AreEqual(iso1.Count, iso2.Count);
Assert.AreEqual(iso1.Count, isoU.Count);
Assert.AreEqual(3, iso2.Count);
}
public void IsoBacktrack2()
{
GraphBuilder gh1 = new GraphBuilder();
GraphBuilder gh2 = new GraphBuilder();
Vertex root1 = gh1.InitGraph("Root", "label");
Vertex root2 = gh2.InitGraph("Root", "label");
Vertex[] g1nodes = new Vertex[7];
Vertex[] g2nodes = new Vertex[7];
//G1 nodes
g1nodes[0] = gh1.AddVertex("Set", "0");
g1nodes[1] = gh1.AddVertex("Map", "0");
g1nodes[2] = gh1.AddVertex("NodeType1", "a");
g1nodes[3] = gh1.AddVertex("NodeType1", "a");
g1nodes[4] = gh1.AddVertex("NodeType1", "a");
g1nodes[5] = gh1.AddVertex("NodeType1", "a");
g1nodes[6] = gh1.AddVertex("Map", "0");
//G2 nodes
g2nodes[0] = gh2.AddVertex("Set", "0");
g2nodes[1] = gh2.AddVertex("Map", "0");
g2nodes[2] = gh2.AddVertex("NodeType1", "a");
g2nodes[3] = gh2.AddVertex("NodeType1", "a");
g2nodes[4] = gh2.AddVertex("NodeType1", "a");
g2nodes[5] = gh2.AddVertex("NodeType1", "a");
g2nodes[6] = gh2.AddVertex("Map", "0");
//G1 transitions
gh1.AddFunctionalTransition(root1, g1nodes[0], "l0");
gh1.AddRelationalTransition(root1, g1nodes[1], "l1");
gh1.AddRelationalTransition(root1, g1nodes[6], "l1");
gh1.AddFunctionalTransition(g1nodes[1], g1nodes[2], "key");
gh1.AddFunctionalTransition(g1nodes[1], g1nodes[3], "value");
gh1.AddFunctionalTransition(g1nodes[6], g1nodes[2], "key");
gh1.AddFunctionalTransition(g1nodes[6], g1nodes[4], "value");
gh1.AddRelationalTransition(g1nodes[0], g1nodes[2], "in");
gh1.AddRelationalTransition(g1nodes[0], g1nodes[3], "in");
gh1.AddRelationalTransition(g1nodes[0], g1nodes[4], "in");
gh1.AddRelationalTransition(g1nodes[0], g1nodes[5], "in");
//G2 transitions
gh2.AddFunctionalTransition(root2, g2nodes[0], "l0");
gh2.AddRelationalTransition(root2, g2nodes[1], "l1");
gh2.AddRelationalTransition(root2, g2nodes[6], "l1");
gh2.AddFunctionalTransition(g2nodes[1], g2nodes[4], "key");
gh2.AddFunctionalTransition(g2nodes[1], g2nodes[2], "value");
gh2.AddFunctionalTransition(g2nodes[6], g2nodes[4], "key");
gh2.AddFunctionalTransition(g2nodes[6], g2nodes[5], "value");
gh2.AddRelationalTransition(g2nodes[0], g2nodes[2], "in");
gh2.AddRelationalTransition(g2nodes[0], g2nodes[3], "in");
gh2.AddRelationalTransition(g2nodes[0], g2nodes[4], "in");
gh2.AddRelationalTransition(g2nodes[0], g2nodes[5], "in");
RootedLabeledDirectedGraph g1 = gh1.GetGraph();
RootedLabeledDirectedGraph g2 = gh2.GetGraph();
Map <Vertex, Vertex> iso1 = GraphIsomorphism.ComputeIsomorphism1(g1, g2);
Map <Vertex, Vertex> iso2 = GraphIsomorphism.ComputeIsomorphism2(g1, g2);
Map <Vertex, Vertex> isoU = GraphIsomorphism.ComputeIsomorphismUllmann(g1, g2);
Assert.AreEqual(iso1.Count, iso2.Count);
Assert.AreEqual(iso1.Count, isoU.Count);
Assert.AreEqual(8, iso2.Count);
}
public void IsoSingleNodeUllmann()
{
Vertex root1 = 1; // new ObjectId(new Symbol("Root"), 1);
VertexData vd1 = new VertexData();
Vertex root2 = 1; // new ObjectId(new Symbol("Root"), 1);
VertexData vd2 = new VertexData();
Dictionary <Vertex, VertexData> vr1 = new Dictionary <Vertex, VertexData>();
vr1.Add(root1, vd1);
Dictionary <Vertex, VertexData> vr2 = new Dictionary <Vertex, VertexData>();
vr2.Add(root1, vd2);
RootedLabeledDirectedGraph g1 = new RootedLabeledDirectedGraph(root1, vr1);
RootedLabeledDirectedGraph g2 = new RootedLabeledDirectedGraph(root2, vr2);
Map <Vertex, Vertex> iso = GraphIsomorphism.ComputeIsomorphismUllmann(g1, g2);
Assert.AreEqual(1, iso.Count);
}
public void IsoBacktrack6()
{
GraphBuilder gh1 = new GraphBuilder();
GraphBuilder gh2 = new GraphBuilder();
Vertex root1 = gh1.InitGraph("Root", "label");
Vertex root2 = gh2.InitGraph("Root", "label");
Vertex[] g1nodes = new Vertex[12];
Vertex[] g2nodes = new Vertex[12];
//G1 nodes
g1nodes[0] = gh1.AddVertex("Side", "a");
g1nodes[1] = gh1.AddVertex("Side", "a");
g1nodes[2] = gh1.AddVertex("Side", "a");
g1nodes[3] = gh1.AddVertex("Side", "a");
g1nodes[4] = gh1.AddVertex("Color", "b");
g1nodes[5] = gh1.AddVertex("Map", "map");
g1nodes[6] = gh1.AddVertex("Map", "map");
g1nodes[7] = gh1.AddVertex("Map", "map");
g1nodes[8] = gh1.AddVertex("Map", "map");
g1nodes[9] = gh1.AddVertex("Map", "map");
g1nodes[10] = gh1.AddVertex("Set", "set");
//G1 transitions
gh1.AddRelationalTransition(root1, g1nodes[5], "r0");
gh1.AddRelationalTransition(root1, g1nodes[6], "r0");
gh1.AddRelationalTransition(root1, g1nodes[7], "r0");
gh1.AddRelationalTransition(root1, g1nodes[8], "r1");
gh1.AddRelationalTransition(root1, g1nodes[9], "r1");
gh1.AddFunctionalTransition(root1, g1nodes[10], "f1");
gh1.AddFunctionalTransition(g1nodes[5], g1nodes[3], "key");
gh1.AddFunctionalTransition(g1nodes[5], g1nodes[4], "value");
gh1.AddFunctionalTransition(g1nodes[6], g1nodes[0], "key");
gh1.AddFunctionalTransition(g1nodes[6], g1nodes[1], "value");
gh1.AddFunctionalTransition(g1nodes[7], g1nodes[3], "key");
gh1.AddFunctionalTransition(g1nodes[7], g1nodes[2], "value");
gh1.AddFunctionalTransition(g1nodes[8], g1nodes[2], "key");
gh1.AddFunctionalTransition(g1nodes[8], g1nodes[1], "value");
gh1.AddFunctionalTransition(g1nodes[9], g1nodes[3], "key");
gh1.AddFunctionalTransition(g1nodes[9], g1nodes[0], "value");
gh1.AddRelationalTransition(g1nodes[10], g1nodes[6], "in");
gh1.AddRelationalTransition(g1nodes[10], g1nodes[7], "in");
gh1.AddRelationalTransition(g1nodes[10], g1nodes[8], "in");
gh1.AddRelationalTransition(g1nodes[10], g1nodes[9], "in");
//G2 nodes
g2nodes[0] = gh2.AddVertex("Side", "a");
g2nodes[1] = gh2.AddVertex("Side", "a");
g2nodes[2] = gh2.AddVertex("Side", "a");
g2nodes[3] = gh2.AddVertex("Side", "a");
g2nodes[4] = gh2.AddVertex("Color", "b");
g2nodes[5] = gh2.AddVertex("Map", "map");
g2nodes[6] = gh2.AddVertex("Map", "map");
g2nodes[7] = gh2.AddVertex("Map", "map");
g2nodes[8] = gh2.AddVertex("Map", "map");
g2nodes[9] = gh2.AddVertex("Map", "map");
g2nodes[10] = gh2.AddVertex("Set", "set");
//G2 transitions
gh2.AddRelationalTransition(root1, g2nodes[8], "r0");
gh2.AddRelationalTransition(root1, g2nodes[6], "r0");
gh2.AddRelationalTransition(root1, g2nodes[7], "r0");
gh2.AddRelationalTransition(root1, g2nodes[5], "r1");
gh2.AddRelationalTransition(root1, g2nodes[9], "r1");
gh2.AddFunctionalTransition(root1, g2nodes[10], "f1");
gh2.AddFunctionalTransition(g2nodes[5], g2nodes[2], "key");
gh2.AddFunctionalTransition(g2nodes[5], g2nodes[0], "value");
gh2.AddFunctionalTransition(g2nodes[6], g2nodes[1], "key");
gh2.AddFunctionalTransition(g2nodes[6], g2nodes[0], "value");
gh2.AddFunctionalTransition(g2nodes[7], g2nodes[3], "key");
gh2.AddFunctionalTransition(g2nodes[7], g2nodes[2], "value");
gh2.AddFunctionalTransition(g2nodes[8], g2nodes[3], "key");
gh2.AddFunctionalTransition(g2nodes[8], g2nodes[4], "value");
gh2.AddFunctionalTransition(g2nodes[9], g2nodes[3], "key");
gh2.AddFunctionalTransition(g2nodes[9], g2nodes[1], "value");
gh2.AddRelationalTransition(g2nodes[10], g2nodes[6], "in");
gh2.AddRelationalTransition(g2nodes[10], g2nodes[7], "in");
gh2.AddRelationalTransition(g2nodes[10], g2nodes[5], "in");
gh2.AddRelationalTransition(g2nodes[10], g2nodes[9], "in");
RootedLabeledDirectedGraph g1 = gh1.GetGraph();
RootedLabeledDirectedGraph g2 = gh2.GetGraph();
Map <Vertex, Vertex> iso1 = GraphIsomorphism.ComputeIsomorphism1(g1, g2);
Map <Vertex, Vertex> iso2 = GraphIsomorphism.ComputeIsomorphism2(g1, g2);
Map <Vertex, Vertex> isoU = GraphIsomorphism.ComputeIsomorphismUllmann(g1, g2);
if (iso1 == null && iso2 == null && isoU == null)
{
throw new Exception("None of the algorithms found the graphs isomorphic");
}
Assert.AreEqual(iso1.Count, iso2.Count);
Assert.AreEqual(iso1.Count, isoU.Count);
Assert.AreEqual(12, iso2.Count);
}
