LBDDNode BDDSAT() { nameId = new Dictionary <ColoredEdge, int>(); // i, об color GenerateVariables(n, colorNum); var order = nameId.Values.ToArray(); bdd = new LBDD.LBDD(order); LBDDNode conj = bdd.One; //not one color in clique for (int c = 1; c <= colorNum; c++) { conj = bdd.AND(conj, GenerateCliqueNotOneColor(c)); } //only one color of edge for (int i = 1; i < n; i++) { for (int j = i + 1; j <= n; j++) { conj = bdd.AND(conj, OnlyOneColor(i, j)); } } return(conj); }
public LBDDNode BDDSAT(int n, int color) { nameId = new Dictionary <coloredEdge, int>(); // i, об color int counter = 1; for (int c = 1; c <= color; c++) { for (int i = 1; i < n; i++) { for (int j = i + 1; j <= n; j++) { nameId.Add(new coloredEdge(i, j, c), counter); counter++; } } } var order = nameId.Values.ToArray(); bdd = new LBDD.LBDD(order); LBDDNode conj = bdd.One; //only one color of edge for (int i = 1; i < n; i++) { for (int j = i + 1; j <= n; j++) { conj = bdd.AND(conj, OnlyOneColor(i, j, color)); } } //not one color in clique for (int c = 1; c <= color; c++) { for (int i = 1; i < n - 1; i++) { for (int j = i + 1; j < n; j++) { for (int k = j + 1; k <= n; k++) { var e1 = bdd.CreateVar(nameId[new coloredEdge(i, j, c)]); var e2 = bdd.CreateVar(nameId[new coloredEdge(i, k, c)]); var e3 = bdd.CreateVar(nameId[new coloredEdge(j, k, c)]); var local1 = color < 3 ? bdd.OR(e1, bdd.OR(e2, e3)) : bdd.One; var local2 = bdd.OR(bdd.NOT(e1), bdd.OR(bdd.NOT(e2), bdd.NOT(e3))); //Console.WriteLine(i + ", " + j + ", " + k + " color=" + c); conj = bdd.AND(conj, bdd.AND(local1, local2)); } } } } return(conj); }