/**
* Compute a distance-2 coloring of a bipartite graph G_b
*
* <p>Input: - G_b bipartite graph - V contained vertices are colored in the given ordering v_1,
* ..., v_n
*
* <p>Output: - G_b bipartite graph with colors as weights vertex_color
*/
public static int PartialD2Coloring(GraphModel g, Vector<Integer> V) {
Vector<Integer> N2 = new Vector<>();
Vector<Integer> forbidden = new Vector<>(g.numOfVertices());
for (int i = 0; i < g.numOfVertices(); i++) forbidden.add(-1);
for (int v : V) g.getVertex(v).setColor(0);
for (int v : V) {
if (g.getDegree(g.getVertex(v)) > 0) {
forbidden.set(0, v);
N2 = Neighbors.N_2(g, v);
for (int n2 : N2) {
if (g.getVertex(n2).getColor() > 0) {
forbidden.set(g.getVertex(n2).getColor(), v);
}
}
for (int i = 0; i < forbidden.size(); i++) {
if (forbidden.get(i) != v) {
g.getVertex(v).setColor(i);
break;
}
}
} else {
g.getVertex(v).setColor(0);
}
}
return getNumOfCols(g);
}
public Object calculate(GraphModel g) {
ZagrebIndexFunctions zif = new ZagrebIndexFunctions(g);
ZagrebIndexFunctions zifL = new ZagrebIndexFunctions(LineGraph.createLineGraph(g));
RendTable ret = new RendTable();
ret.add(new Vector<Object>());
ret.get(0).add(" M^3_1(G) ");
ret.get(0).add("Z1");
ret.get(0).add("Z2");
ret.get(0).add("Z3");
ret.get(0).add("Z4");
ret.get(0).add("Ep3");
ret.get(0).add("Ep4");
ret.get(0).add("Psi1");
ret.get(0).add("Psi2");
ret.get(0).add("illc");
ret.get(0).add("N2");
ret.get(0).add("N1");
double maxDeg = 0;
double maxDeg2 = 0;
double minDeg = Integer.MAX_VALUE;
ArrayList<Integer> al = AlgorithmUtils.getDegreesList(g);
Collections.sort(al);
maxDeg = al.get(al.size() - 1);
if (al.size() - 2 >= 0) maxDeg2 = al.get(al.size() - 2);
else maxDeg2 = maxDeg;
minDeg = al.get(0);
if (maxDeg2 == 0) maxDeg2 = maxDeg;
double a = 0;
double b = 0;
for (Vertex v : g) {
if (g.getDegree(v) == maxDeg) a++;
if (g.getDegree(v) == minDeg) b++;
}
if (maxDeg == minDeg) b = 0;
double m = g.getEdgesCount();
double n = g.getVerticesCount();
double M12 = zif.getSecondZagreb(1);
double M21 = zif.getFirstZagreb(1);
double M31 = zif.getFirstZagreb(2);
double M41 = zif.getFirstZagreb(3);
double M22 = zif.getSecondZagreb(2);
double Mm31 = zif.getFirstZagreb(-4);
double Mm11 = zif.getFirstZagreb(-2);
double EM1 = zifL.getFirstZagreb(1);
double Psi1 =
(Math.pow(
(2 * (m + 1)
- (n + maxDeg + maxDeg2)
+ Math.sqrt(
(2 * m - maxDeg - maxDeg2) * (Mm11 - ((1 / maxDeg) + (1 / maxDeg2))))),
2)
/ (n - 2));
double Psi2 =
(Math.pow(
(2 * (m + 1)
- (n + maxDeg + minDeg)
+ Math.sqrt(
(2 * m - maxDeg - minDeg) * (Mm11 - ((1 / maxDeg) + (1 / minDeg))))),
2)
/ (n - 2));
double Zeta1 =
2 * m
- maxDeg
- maxDeg2
+ (M21 - maxDeg * maxDeg - maxDeg2 * maxDeg2 - n + 2)
* (M21 - maxDeg * maxDeg - maxDeg2 * maxDeg2 - n + 2)
/ (2 * m - maxDeg - maxDeg2 - Mm11 + (1 / maxDeg) + (1 / maxDeg2));
double Zeta2 =
2 * m
- (maxDeg)
- (minDeg)
+ Math.pow((M21 - (maxDeg * maxDeg) - (minDeg * minDeg) - (n - 2)), 2)
/ (2 * m - maxDeg - minDeg - Mm11 + (1 / maxDeg) + (1 / minDeg));
double Zeta3 =
M21
- maxDeg * maxDeg
- maxDeg2 * maxDeg2
+ (Math.pow((M21 - maxDeg * maxDeg - maxDeg2 * maxDeg2 - 2 * m + maxDeg + maxDeg2), 2)
/ (2 * m - maxDeg - maxDeg2 - n + 2));
double Zeta4 =
M21
- maxDeg * maxDeg
- minDeg * minDeg
+ (Math.pow((M21 - maxDeg * maxDeg - minDeg * minDeg - 2 * m + maxDeg + minDeg), 2)
/ (2 * m - maxDeg - minDeg - n + 2));
double Eps3 =
(Math.pow(
(M21 - (maxDeg * maxDeg) - (maxDeg2 * maxDeg2))
+ Math.sqrt((n - 2) * (M21 - (maxDeg * maxDeg) - (maxDeg2 * maxDeg2)))
- (2 * m - maxDeg - maxDeg2),
2)
/ (2 * m - maxDeg - maxDeg2));
double Eps4 =
(Math.pow(
(M21 - (maxDeg * maxDeg) - (minDeg * minDeg))
+ Math.sqrt((n - 2) * (M21 - (maxDeg * maxDeg) - (minDeg * minDeg)))
- (2 * m - maxDeg - minDeg),
2)
/ (2 * m - maxDeg - minDeg));
ret.add(new Vector<Object>());
ret.get(1).add(zifL.getFirstZagreb(1));
// new3
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (maxDeg2 * maxDeg2 * maxDeg2)
+ (Zeta3)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// new4
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (minDeg * minDeg * minDeg)
+ (Zeta4)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// new1
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (maxDeg2 * maxDeg2 * maxDeg2)
+ (Zeta1)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// new2
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (minDeg * minDeg * minDeg)
+ (Zeta2)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// Eps3
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (maxDeg2 * maxDeg2 * maxDeg2)
+ (Eps3)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// Eps4
ret.get(1)
.add(
(maxDeg * maxDeg * maxDeg)
+ (minDeg * minDeg * minDeg)
+ (Eps4)
- (4 * M21)
+ (2 * M12)
+ (4 * m));
// Psi1
ret.get(1)
.add(
M31
- (4 * M21)
+ (2 * maxDeg * maxDeg)
+ (2 * maxDeg2 * maxDeg2)
+ (2 * Psi1)
+ 2 * (M12 - M21 + m)
+ 2 * m);
// Psi2
ret.get(1)
.add(
M31
- (4 * M21)
+ (2 * maxDeg * maxDeg)
+ (2 * minDeg * minDeg)
+ (2 * Psi2)
+ 2 * (M12 - M21 + m)
+ 2 * m);
// illc
ret.get(1).add(((2 * m / n) * M21) + (4 * m) + (2 * M12) - (4 * M21));
// nilanjan de 2
ret.get(1).add(Math.pow(M21 - (2 * m), 2) / m);
// nilanjan de 1
ret.get(1).add(4 * m * (minDeg - 1) * (minDeg - 1));
return ret;
}
public Object calculate(GraphModel g) {
ZagrebIndexFunctions zif = new ZagrebIndexFunctions(g);
RenderTable ret = new RenderTable();
Vector<String> titles = new Vector<>();
titles.add(" E(G) ");
titles.add(" 1.1 ");
titles.add(" 1.2 ");
titles.add(" 1.3 ");
titles.add(" 1.4 ");
titles.add(" 1.5 ");
titles.add(" 1.6 ");
titles.add(" 1.7 ");
titles.add(" Eigenvalues ");
titles.add(" 2-degree sum ");
titles.add("new query");
ret.setTitles(titles);
Matrix A = g.getWeightedAdjacencyMatrix();
EigenvalueDecomposition ed = A.eig();
double rv[] = ed.getRealEigenvalues();
double sum = 0;
double detA = Math.abs(A.det());
// positiv RV
Double[] prv = new Double[rv.length];
for (int i = 0; i < rv.length; i++) {
prv[i] = Math.abs(rv[i]);
prv[i] = (double) Math.round(prv[i] * 100000d) / 100000d;
sum += prv[i];
}
Arrays.sort(prv, Collections.reverseOrder());
double maxDeg = 0;
double maxDeg2 = 0;
double minDeg = Integer.MAX_VALUE;
ArrayList<Integer> al = AlgorithmUtils.getDegreesList(g);
Collections.sort(al);
maxDeg = al.get(al.size() - 1);
if (al.size() - 2 >= 0) maxDeg2 = al.get(al.size() - 2);
else maxDeg2 = maxDeg;
minDeg = al.get(0);
if (maxDeg2 == 0) maxDeg2 = maxDeg;
double a = 0;
double b = 0;
for (Vertex v : g) {
if (g.getDegree(v) == maxDeg) a++;
if (g.getDegree(v) == minDeg) b++;
}
if (maxDeg == minDeg) b = 0;
double m = g.getEdgesCount();
double n = g.getVerticesCount();
double M12 = zif.getSecondZagreb(1);
double M21 = zif.getFirstZagreb(1);
double M22 = zif.getSecondZagreb(2);
double Mm11 = zif.getFirstZagreb(-2);
Vector<Object> v = new Vector<>();
v.add(sum);
// 1
v.add(Math.sqrt(2 * m));
// 2
v.add(
(2 * Math.sqrt(2 * m * n) * Math.sqrt(prv[0] * prv[prv.length - 1]))
/ (prv[0] + prv[prv.length - 1]));
// 3
v.add((prv[0] * prv[prv.length - 1] * n + 2 * m) / (prv[0] + prv[prv.length - 1]));
// 4
v.add(Math.sqrt(2 * m * n - (Math.pow(n * (prv[0] - prv[prv.length - 1]), 2) / 4)));
// 5
double alpha = n * Math.floor(n / 2) * (1 - (1 / n) * Math.floor(n / 2));
v.add(Math.sqrt(2 * m * n - (Math.pow((prv[0] - prv[prv.length - 1]), 2) * alpha)));
// 6
if (detA == 0) v.add(0);
else v.add(Math.sqrt(2 * m + n * (n - 1) * Math.pow(detA, 2 / n)));
// 7
double up = n * Math.pow(prv[0] - prv[prv.length - 1], 2);
double down = 4 * (prv[0] + prv[prv.length - 1]);
v.add(Math.sqrt(2 * m * n) - (up / down));
// eigenvalues
v.add(getEigenValues(g));
// 2-degree sum
v.add(Utils.getDegreeSum(g, 1));
// new query
double eigenVal_k = prv[prv.length - 1];
int cnt = prv.length - 1;
if (eigenVal_k == 0) {
while (eigenVal_k == 0) {
eigenVal_k = prv[--cnt];
}
}
int numOfNZEigenValue = 0;
for (int i = 0; i < prv.length; i++) {
if (prv[i] != 0) numOfNZEigenValue++;
}
double alpha_k =
numOfNZEigenValue
* Math.floor(numOfNZEigenValue / 2)
* (1 - (1 / numOfNZEigenValue) * Math.floor(numOfNZEigenValue / 2));
System.out.println(alpha_k + " " + numOfNZEigenValue);
System.out.println(prv[0] + " " + eigenVal_k);
v.add(Math.sqrt(2 * m * numOfNZEigenValue - (Math.pow((prv[0] - eigenVal_k), 2) * alpha_k)));
ret.add(v);
return ret;
}
public static int StarBicoloringSchemeCombinedVertexCoverColoringRestricted(
GraphModel g, final Vector<Integer> V_rr, final Vector<Integer> V_cc, final int Mode) {
Vector<Integer> IS = new Vector<>();
Vector<Integer> V_r = new Vector<>();
Vector<Integer> V_c = new Vector<>();
V_r.addAll(V_rr);
V_c.addAll(V_cc);
Vector<Integer> num_colors;
Vector<Integer> V_r_aux = new Vector<>();
Vector<Integer> V_c_aux = new Vector<>();
V_r_aux.addAll(V_r);
V_c_aux.addAll(V_c);
GraphModel gaux = g.getCopy();
float ratio = 1;
if (Mode != 1) ratio = Mode / 2;
Vector<Pair<Integer, Integer>> Degree_V_r_aux = new Vector<>();
Vector<Pair<Integer, Integer>> Degree_V_c_aux = new Vector<>();
Vector<Pair<Integer, Integer>> copy_real_r = new Vector<>();
Vector<Pair<Integer, Integer>> copy_real_c = new Vector<>();
Vector<Integer> forbiddenColors = new Vector<>(V_r.size());
for (int i = 0; i < V_r.size(); i++) {
forbiddenColors.add(-1);
}
Iterator<Integer> v_r_aux_it = V_r_aux.iterator();
for (int v_r : V_r) {
if (v_r_aux_it.hasNext()) {
int v_r_aux = v_r_aux_it.next();
copy_real_r.add(new Pair<>(v_r, v_r_aux));
}
}
Iterator<Integer> v_c_aux_it = V_c_aux.iterator();
for (int v_c : V_c) {
if (v_c_aux_it.hasNext()) {
int v_c_aux = v_c_aux_it.next();
copy_real_c.add(new Pair<>(v_c, v_c_aux));
}
}
for (int v_r : V_r_aux) {
Degree_V_r_aux.add(new Pair<>(v_r, gaux.getDegree(gaux.getVertex(v_r))));
}
for (int v_c : V_c_aux) {
Degree_V_c_aux.add(new Pair<>(v_c, gaux.getDegree(gaux.getVertex(v_c))));
}
while (gaux.getEdgesCount() > 0) {
int max_degree_V_r_aux = 0;
for (Pair<Integer, Integer> di : Degree_V_r_aux) {
di.second = gaux.getDegree(gaux.getVertex(di.first));
int degree_v_r = di.second;
if (degree_v_r > max_degree_V_r_aux) {
max_degree_V_r_aux = degree_v_r;
}
}
System.out.println("1");
int max_degree_V_c_aux = 0;
for (Pair<Integer, Integer> di : Degree_V_c_aux) {
di.second = gaux.getDegree(gaux.getVertex(di.first));
int degree_v_c = di.second;
if (degree_v_c > max_degree_V_c_aux) {
max_degree_V_c_aux = degree_v_c;
}
}
System.out.println("2");
if (max_degree_V_r_aux > ratio * max_degree_V_c_aux) {
Vector<Pair<Integer, Integer>> removedEdges = new Vector<>();
for (Pair<Integer, Integer> di : Degree_V_r_aux) {
if (max_degree_V_r_aux == di.second) {
Pair<Integer, Integer> cr = new Pair<>(0, 0);
for (Pair<Integer, Integer> crtmp : copy_real_r) {
if (crtmp.second.equals(di.first)) {
cr = crtmp;
break;
}
}
int v = 0;
for (int tmp : V_r) {
if (cr.first == v) {
v = tmp;
break;
}
}
System.out.println("33");
IndSet.clearVertex(gaux.getVertex(di.first), gaux);
removedEdges.add(di);
System.out.println("44");
forbiddenColors.set(0, v);
for (Vertex w : g.getNeighbors(g.getVertex(v))) {
if (w.getColor() <= 0) {
for (Vertex x : g.getNeighbors(w)) {
if (x.getColor() > 0) {
if (g.getEdge(w, g.getVertex(v)).getWeight() == 1
|| g.getEdge(w, x).getWeight() == 1) {
forbiddenColors.set(x.getId(), v);
}
}
}
} else { // Color[w]>0
for (Vertex x : g.getNeighbors(w)) {
if (x.getColor() > 0) {
if (g.getEdge(w, x).getWeight() == 1) {
for (Vertex y : g.getNeighbors(x)) {
if (y.getColor() > 0) {
if (w.getColor() == y.getColor() && w.getId() != y.getId()) {
forbiddenColors.set(x.getId(), v);
}
}
}
}
}
}
}
System.out.println("45s");
}
System.out.printf("456");
// Find first color which can be assigned to v_c
for (int i = 0; i < forbiddenColors.size(); i++) {
if (forbiddenColors.get(i) != v) {
g.getVertex(v).setColor(forbiddenColors.get(i));
break;
}
}
System.out.println("500");
}
}
Degree_V_r_aux.removeAll(removedEdges);
} else {
Vector<Pair<Integer, Integer>> removedEdges = new Vector<>();
for (Pair<Integer, Integer> di : Degree_V_c_aux) {
if (max_degree_V_c_aux == di.second) {
Pair<Integer, Integer> cr = new Pair<>(0, 0);
for (Pair<Integer, Integer> crtmp : copy_real_c) {
if (crtmp.second == di.first) {
cr = crtmp;
break;
}
}
int v = 0;
for (int tmp : V_c) {
if (cr.first == v) {
v = tmp;
break;
}
}
IndSet.clearVertex(gaux.getVertex(di.first), gaux);
removedEdges.add(di);
System.out.println("3");
forbiddenColors.set(0, v);
System.out.println("3.0q" + v);
for (Vertex w : g.getNeighbors(g.getVertex(v))) {
System.out.println("3.1");
if (w.getColor() <= 0) {
for (Vertex x : g.getNeighbors(w)) {
if (x.getColor() > 0) {
if (g.getEdge(w, g.getVertex(v)).getWeight() == 1
|| g.getEdge(w, x).getWeight() == 1) {
forbiddenColors.set(x.getId(), v);
}
}
}
System.out.println("3.2");
} else { // Color[w]>0
for (Vertex x : g.getNeighbors(w)) {
System.out.println("3.3");
if (x.getColor() > 0) {
if (g.getEdge(w, x).getWeight() == 1) {
for (Vertex y : g.getNeighbors(x)) {
if (y.getColor() > 0) {
if (w.getColor() == y.getColor() && w.getId() != y.getId()) {
forbiddenColors.set(x.getId(), v);
}
}
}
}
}
}
}
}
System.out.println("3.5");
// Find first color which can be assigned to v_c
for (int i = 0; i < forbiddenColors.size(); i++) {
if (forbiddenColors.get(i) != v) {
g.getVertex(v).setColor(forbiddenColors.get(i));
break;
}
}
}
}
System.out.println("4");
Degree_V_c_aux.removeAll(removedEdges);
}
}
for (Pair<Integer, Integer> di : Degree_V_r_aux) {
IS.add(di.first);
}
for (Pair<Integer, Integer> di : Degree_V_c_aux) {
IS.add(di.first);
}
for (int i = 0; i < IS.size(); i++) {
g.getVertex(IS.get(i)).setColor(0);
}
return getNumOfCols(g);
}