public Edge(Edge ed)
{
source = ed.source;
destiny = ed.destiny;
weight = ed.Weight;
visited = ed.Visited;
}
private bool EulerCircuit(NodeP actual, NodeP origin)
{
bool resp = false;
actual.Visited = true;
if (actual.Name == origin.Name && actual.Visited && graph.AllEdgesVisited())
{
tmpNodes.Add(actual);
return(true);
}
foreach (NodeR nrel in actual.relations)
{
Edge a = graph.GetEdge(nrel.Up, actual);
if (a != null && !a.Visited)
{
a.Visited = true;
resp |= EulerCircuit(nrel.Up, origin);
if (!resp)
{
a.Visited = false;
}
else
{
actual.Visited = true;
tmpNodes.Add(actual);
break;
}
}
}
return(resp);
}
public void searchInBreadth(Graph graph, NodeP v)
{
Queue queue = new Queue();
NodeP x, y;
x = new NodeP();
y = new NodeP();
v.Visited = true;
queue.Enqueue(v);
while (queue.Count > 0)
{
x = (NodeP)queue.Dequeue();
g.AddNode(x);
foreach (NodeR nodeR in x.relations)
{
if (!nodeR.Up.Visited)
{
nodeR.Up.Visited = true;
queue.Enqueue(nodeR.Up);
g.AddNode(nodeR.Up);
Edge edge = new Edge(x, nodeR.Up, "e" + g.EdgesList.Count.ToString());
g.AddEdge(edge);
}
}
}
}
public double [] Dijkstra(Graph graph, List <Edge> edges, NodeP source)
{
double[][] C = Weights(graph.Count, edges);
double[] D = new double[graph.Count];
string S = "";
NodeP w;
graph[ConverterWord(source.Name)].Visited = true;
S += source.Name;
for (int i = 0; i < D.Length; i++)
{
D[i] = C[ConverterWord(source.Name)][i];
}
for (int i = 0; i < graph.Count - 1; i++)
{
w = MinEdge(graph, D, source);
S += w.Name;
w.Visited = true;
foreach (NodeP n in graph)
{
if (!n.Visited && graph.Connected(w, n) != null)
{
D[ConverterWord(n.Name)] = Min(D[ConverterWord(n.Name)], D[ConverterWord(w.Name)] + C[ConverterWord(w.Name)][ConverterWord(n.Name)]);
}
}
}
return(D);
}
public bool EulerRoad(NodeP actual, NodeP origin)
{
bool resp = false;
if (graph.AllEdgesVisited())
{
tmpNodes.Add(actual);
return(true);
}
foreach (NodeR nrel in actual.relations)
{
Edge a = graph.GetEdge(nrel.Up, actual);
if (a != null && !a.Visited)
{
a.Visited = true;
resp |= EulerRoad(nrel.Up, origin);
if (!resp)
{
a.Visited = false;
}
else
{
actual.Visited = true;
tmpNodes.Add(actual);
break;
}
}
}
return(resp);
}
public Edge(Edge ed)
{
origin = ed.origin;
destiny = ed.destiny;
weight = ed.Weight;
visited = ed.Visited;
}
public void bpf(NodeP v, int counter, int treeNumber, Graph g)
{
v.TreeNumber = treeNumber;
v.Visited = true;
v.Depth = counter;
counter++;
foreach (NodeR w in v.relations)
{
if (!w.Up.Visited)
{
Edge edge = new Edge(v, w.Up, "e" + g.EdgesList.Count.ToString());
g.treeList.Add(edge);
bpf(w.Up, counter, treeNumber, g);
}
else if (w.Up.Depth - v.Depth > 0 && w.Up.TreeNumber == v.TreeNumber)
{
Edge edge = new Edge(v, w.Up, "e" + g.EdgesList.Count.ToString());
g.advanceList.Add(edge);
}
else if (w.Up.Depth - v.Depth < 0 && w.Up.TreeNumber == v.TreeNumber)
{
Edge edge = new Edge(v, w.Up, "e" + g.EdgesList.Count.ToString());
g.backList.Add(edge);
}
else if (w.Up.Depth - v.Depth == 0 || w.Up.TreeNumber != v.TreeNumber)
{
Edge edge = new Edge(v, w.Up, "e" + g.EdgesList.Count.ToString());
g.crossoverList.Add(edge);
}
}
}
private bool verifCircuito3(NodeP n)
{
foreach (NodeR r2 in n.relations)
{
NodeP n2 = r2.Up;
if (n2.Name != n.Name)
{
foreach (NodeR r3 in n2.relations)
{
if (r3.Name != n.Name)
{
NodeP n3 = r3.Up;
foreach (NodeR r4 in n3.relations)
{
if (r4.Up == n)
{
return(true);
}
}
}
}
}
}
return(false);
}
private void removeBridges(Graph g2)
{
for (int i = 0; i < g2.Count; i++)
{
if (g2[i].Degree == 2)
{
//creapuente2nodos(g2[i]);
NodeP a = g2[i].relations[0].Up;
NodeP b = g2[i].relations[1].Up;
Edge ed = new Edge(a, b, "p");
bool esta = false;
foreach (Edge eee in g2.EdgesList)
{
//si ya esta
if ((ed.Origin.Name == eee.Origin.Name && ed.Destiny.Name == eee.Destiny.Name) || (ed.Origin.Name == eee.Destiny.Name && ed.Destiny.Name == eee.Origin.Name))
{
esta = true;
}
}
if (!esta)
{
g2.EdgesList.Add(ed);
a.InsertRelation(b, 1, false);
b.InsertRelation(a, 1, false);
}
g2.RemoveNode(g2[i--]);
}
}
}
public Edge(NodeP origin, NodeP destiny, string name)
{
this.source = origin;
this.destiny = destiny;
this.name = name;
this.weight = 0;
this.visited = false;
}
private List <NodeP> getSurroundNodes(NodeP nod)
{
List <NodeP> tempRel = new List <NodeP>();
foreach (NodeR rel in nod.relations)
{
tempRel.Add(rel.Up);
}
return(tempRel);
}
private NodeP MinEdge(Graph graph, double[] D, NodeP source)
{
NodeP w = graph[0];//!= source ? graph[0] : graph[1];
foreach (NodeP n in graph)
{
w = !n.Visited && D[ConverterWord(n.Name)] < D[ConverterWord(w.Name)] || w.Visited ? n : w;
}
return(w);
}
public NodeP(NodeP co)
{
position = co.Position;
name = co.Name;
relations = new List <NodeR>();
degree = co.Degree;
degreeEx = co.DegreeEx;
degreeIn = co.DegreeIn;
color = co.Color;
selected = false;
}
public void InsertRelation(NodeP newRel, int num, bool isDirected)
{
Degree++;
if (isDirected)
{
DegreeEx++;
newRel.DegreeIn++;
}
relations.Add(new NodeR(newRel, "e" + num.ToString()));
}
// regresa true si hay un nodo que pertenece a un grupo de nodos, pertenece al metodo n partita
private bool nodoDentroGrupo(List <NodeP> g1, NodeP nn)
{
foreach (NodeP ng in g1)
{
if (ng.Name == nn.Name)
{
return(true);
}
}
return(false);
}
private bool nodesInsideGroup(List <Edge> liEd, NodeP a, NodeP b)
{
foreach (Edge ed in liEd)
{
if ((a.Name == ed.Origin.Name || a.Name == ed.Destiny.Name) ||
(b.Name == ed.Origin.Name || b.Name == ed.Destiny.Name))
{
return(true);
}
}
return(false);
}
public void topoprueba(NodeP actual)
{
actual.Visited = true;
foreach (NodeR rel in actual.relations)
{
if (rel.Up.Visited == false)
{
topoprueba(rel.Up);
}
}
tmpNodes.Add(actual);
}
public void EncuentraSig(NodeP np)
{
foreach (Edge ar in gra.EdgesList)
{
if (ar.Origin == np && !ar.Destiny.Visited)
{
listView2.Items.Add(ar.Destiny.Name);
ar.Destiny.Visited = true;
EncuentraSig(ar.Destiny);
}
}
}
public bool makeHamilton(NodeP origen, NodeP actual)
{
bool resp = false;
actual.Visited = true;
if (graph.AllNodesVisited())
{
tmpNodes.Add(actual);
return(true);
}
foreach (NodeR nrel in actual.relations)
{
Edge a = graph.GetEdge(nrel.Up, actual);
if (!a.Visited)
{
a.Visited = true;
if (actual == a.Origin && !a.Destiny.Visited)
{
resp |= makeHamilton(origen, a.Destiny);
if (!resp)
{
a.Destiny.Visited = false;
}
else
{
tmpNodes.Add(a.Origin);
break;
}
}
else if (actual == a.Destiny && !a.Origin.Visited)
{
resp |= makeHamilton(origen, a.Origin);
if (!resp)
{
a.Origin.Visited = false;
}
else
{
tmpNodes.Add(a.Destiny);
break;
}
}
}
if (!resp)
{
a.Visited = false;
}
}
return(resp);
}
private void clasificacionTopologica(NodeP v, List <NodeP> g)
{
v.Visited = true;
foreach (NodeR rel in v.relations)
{
if (rel.Up.Visited != true)
{
clasificacionTopologica(rel.Up, g);
}
}
NodeP nuevo = new NodeP(v);
g.Add(nuevo);
}
private void deepSearch(NodeP node)
{
node.Visited = true;
foreach (NodeR nodeR in node.relations)
{
if (nodeR.Up.Visited == false)
{
g.AddNode(nodeR.Up);
Edge edge = new Edge(node, nodeR.Up, "e" + g.EdgesList.Count.ToString());
g.AddEdge(edge);
q.Enqueue(nodeR.Up.Name);
deepSearch(nodeR.Up);
}
}
}
// Regresa true si hay una arista que pertenece a un grupo de nodos, pertenece al metodo n partita
private bool aristaDentroGrupo(List <NodeP> g1, NodeP nn)
{
foreach (NodeP ng in g1)
{
foreach (Edge ed in graph.EdgesList)
{
if ((ed.Origin.Name == nn.Name && ed.Destiny.Name == ng.Name) ||
(ed.Origin.Name == ng.Name && ed.Destiny.Name == nn.Name))
{
return(true);
}
}
}
return(false);
}
public void eliminaNodo(NodeP np)
{
foreach (NodeP no in gra)
{
no.Visited = false;
}
listView2.Items.Clear();
comboBox1.Items.Remove(np.Name);
listView1.Items.Add(np.Name);
EncuentraSig(np);
gra.RemoveNode(np);
editor.Invalidate();
}
public List <NodeP> Topological(NodeP nod)
{
graph.UnselectAllNodes();
List <NodeP> clasificacion = new List <NodeP>();
foreach (NodeP nodo in graph)
{
if (nodo.Visited != true)
{
clasificacionTopologica(nodo, clasificacion);
}
else
{
}
}
return(clasificacion);
}
private void tryEveryNodeK33(Graph g2, List <NodeP> nods)
{
List <NodeP> tempRel;
List <List <NodeP> > grupos = null;
NodeP tempNode;
if (checkHomeomorphicK33(g2))
{
grupos = equalToK33(g2);
if (grupos != null && nods.Count == 0)
{
foreach (List <NodeP> lnp in grupos)
{
foreach (NodeP np in lnp)
{
nods.Add(np);
}
}
}
else
{
for (int i = 0; i < g2.Count; i++)
{
tempRel = getSurroundNodes(g2[i]);
tempNode = new NodeP(g2[i]);
g2.RemoveNode(g2[i]);
// llamada recursiva
tryEveryNodeK33(g2, nods);
// unir nodos otra vez
tempNode.Degree = 0;
g2.Insert(i, tempNode);
//g2.Add(tempNode);
for (int j = 0; j < tempRel.Count; j++)
{
tempRel[j].InsertRelation(tempNode, j, false);
tempNode.InsertRelation(tempRel[j], j, false);
g2.EdgesList.Add(new Edge(tempNode, tempRel[j], "e" + j.ToString()));
}
}
}
}
}
public string CircuitEuler(Graph graph, NodeP node)
{
if (!CheckDegree(graph))
{
return("No Existe Un Circuito Euleriano");
}
List <List <int> > ListAdyacencia = MatrizAd(graph);
int i, j, anterior = 0;
string path = "", auxPath = "";
NodeP sourceNode = node;
while (sourceNode != null)
{
i = ConverterWord(sourceNode.Name);
auxPath = sourceNode.Name;
for (j = 0; j < graph.Count; j++)
{
if (ListAdyacencia[i][j] == 1)
{
ListAdyacencia[i][j] = ListAdyacencia[j][i] = 0;
i = j;
auxPath += graph[i].Name;
j = -1;
if (graph[i].Equals(sourceNode))
{
break;
}
}
}
path = JoinPath(path, auxPath);
sourceNode = NextNode(ListAdyacencia, path) >= 0 ? graph[NextNode(ListAdyacencia, path)] : null;
}
return(path);
}
private void FindEulerCycleRoad(Edge e, NodeP orig, NodeP dest, List <Edge> euler)
{
e.Visited = true;
euler.Add(e);
//busca la siguiente arista conectada al nodo actual en la lista de aristas
bool resp = graph.AllEdgesVisited();
if (!resp)
{
foreach (Edge currEd in graph.EdgesList)
{
if (!currEd.Visited && currEd.Destiny.Name == dest.Name)
{
FindEulerCycleRoad(currEd, currEd.Destiny, currEd.Origin, euler);
}
if (!currEd.Visited && currEd.Origin.Name == dest.Name)
{
FindEulerCycleRoad(currEd, currEd.Origin, currEd.Destiny, euler);
}
}
}
}
public NodeR(NodeP np, string nam)
{
up = np;
visited = false;
name = nam;
}
public void SetNodeP(NodeP node)
{
NodeList.Add(node);
}
private void tryNodesDegree5(Graph g2, NodeP np, List <Edge> arist)
{
// Hace la prueba para cada arista del nodo
for (int i = 0; i < np.relations.Count; i++)
{
Edge ed = g2.GetEdge(np, np.relations[i].Up);
g2.RemoveEdge(ed);
if (checkHomeomorphicK5(g2))
{
if (np == ed.Origin)
{
if (ed.Destiny.Visited)
{
if (ed.Destiny.Degree >= 4 && !ed.Origin.Visited)
{
arist.Add(ed);
}
}
else
{
arist.Add(ed);
}
}
else
{
if (np == ed.Destiny)
{
if (ed.Origin.Visited)
{
if (ed.Origin.Degree >= 4 && !ed.Destiny.Visited)
{
arist.Add(ed);
}
}
else
{
arist.Add(ed);
}
}
}
}
// la vuelve a agregar
g2.EdgesList.Insert(i, ed);
if (np == ed.Origin)
{
np.Degree++;
ed.Destiny.Degree++;
np.relations.Insert(i, new NodeR(ed.Destiny, "e" + i.ToString()));
ed.Destiny.relations.Add(new NodeR(np, "e" + i.ToString()));
}
else
{
np.Degree++;
ed.Origin.Degree++;
np.relations.Insert(i, new NodeR(ed.Origin, "e" + i.ToString()));
ed.Origin.relations.Add(new NodeR(np, "e" + i.ToString()));
}
}
}