// GraphTea Project: http://github.com/graphtheorysoftware/GraphTea
// Copyright (C) 2012 Graph Theory Software Foundation: http://GraphTheorySoftware.com
// Copyright (C) 2008 Mathematical Science Department of Sharif University of Technology
// Distributed under the terms of the GNU General Public License (GPL): http://www.gnu.org/licenses/
package graphtea.extensions.reports.zagreb;
import graphtea.graph.graph.GraphModel;
import graphtea.graph.graph.RenderTable;
import graphtea.graph.graph.Vertex;
import graphtea.platform.lang.CommandAttitude;
import graphtea.plugins.main.core.AlgorithmUtils;
import graphtea.plugins.reports.extension.GraphReportExtension;
import java.util.ArrayList;
import java.util.Collections;
import java.util.Vector;
/**
* @author Ali Rostami
*/
@CommandAttitude(name = "m3boundconj", abbreviation = "_m3conj")
public class M3BoundConjecture implements GraphReportExtension{
public String getName() {
return "M3 Bound Conjecture";
}
public String getDescription() {
return "M3 Bound Conjecture";
}
public Object calculate(GraphModel g) {
ZagrebIndexFunctions zif = new ZagrebIndexFunctions(g);
RenderTable ret = new RenderTable();
Vector<String> titles = new Vector<>();
titles.add(" M^3_1(G) ");
titles.add(" 1 ");
titles.add(" 2 ");
titles.add(" 3 ");
titles.add(" 4 ");
titles.add(" 5 ");
titles.add(" 6 ");
titles.add(" 7 ");
titles.add(" 8 ");
titles.add(" 9 ");
titles.add(" 10 ");
titles.add(" 11 ");
ret.setTitles(titles);
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++;
}
double m = g.getEdgesCount();
double n = g.getVerticesCount();
double M12=zif.getSecondZagreb(1);
double M21=zif.getFirstZagreb(1);
double M22=zif.getSecondZagreb(2);
Vector<Object> v = new Vector<>();
v.add(zif.getFirstZagreb(2));
//1
v.add(2 * M12 + n * M21 - 4 * m * m);
//2
v.add((maxDeg + minDeg) * M21 - 2 * m * minDeg * maxDeg);
//3
v.add(((2 * m - (maxDeg * maxDeg - minDeg * minDeg)) * M21) / n +
(2 * m * (n - 1) * (maxDeg * maxDeg - minDeg * minDeg)) / n);
//4
v.add(n * n * (n - 1) - 2 * M12);
//5
v.add(m * n * n - 2 * M12);
//6
v.add(M22 + m);
//7
v.add((n / m) * M22);
//8
v.add((n / (2 * m)) * zif.getFirstZagreb(3));
//9
v.add((Math.pow(Math.pow(maxDeg, 3) + Math.pow(minDeg, 3), 2) * n * n) /
(4 * Math.pow(maxDeg * minDeg, 3) * zif.getFirstZagreb(-4)));
//10
v.add((Math.pow(maxDeg + minDeg, 2)
* Math.pow(zif.getFirstZagreb(1), 2)) /
(8 * m * minDeg * maxDeg));
//11
v.add((Math.pow(Math.pow(maxDeg, 1.5) + Math.pow(minDeg, 1.5), 2) *
Math.pow(zif.getFirstZagreb(0.5), 2)) /
(4 * n * Math.pow(maxDeg * minDeg, 1.5)));
ret.add(v);
return ret;
}
@Override
public String getCategory() {
// TODO Auto-generated method stub
return "Topological Indices-Conjectures";
}
}