EM1LowerBound.java

// 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.extensions.Utils;
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 = "m3finalconj", abbreviation = "_m3conj")
public class EM1LowerBound implements GraphReportExtension{
    public String getName() {
        return "EM1 Lower";
    }

    public String getDescription() {
        return "EM1 Lower";
    }

    public Object calculate(GraphModel g) {
        ZagrebIndexFunctions zif = new ZagrebIndexFunctions(g);
        ZagrebIndexFunctions zifL = new ZagrebIndexFunctions(
                Utils.createLineGraph(g)
        );

        RenderTable ret = new RenderTable();
        Vector<String> titles = new Vector<>();
        titles.add(" M^3_1(G) ");
        titles.add("Z1");
        titles.add("Z2");
        titles.add("Z3");
        titles.add("Z4");
        titles.add("Ep3");
        titles.add("Ep4");
        titles.add("Psi1");
        titles.add("Psi2");
        titles.add("illc");
        titles.add("N2");
        titles.add("N1");
        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++;
        }
        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));


        Vector<Object> v = new Vector<>();
        v.add(zifL.getFirstZagreb(1));

        //new3
        v.add((maxDeg * maxDeg * maxDeg) + (maxDeg2 * maxDeg2 * maxDeg2) + (Zeta3) - (4 * M21) + (2 * M12) + (4 * m));

        //new4
        v.add((maxDeg * maxDeg * maxDeg) + (minDeg * minDeg * minDeg) + (Zeta4) - (4 * M21) + (2 * M12) + (4 * m));

        //new1 
        v.add((maxDeg * maxDeg * maxDeg) + (maxDeg2 * maxDeg2 * maxDeg2) + (Zeta1) - (4 * M21) + (2 * M12) + (4 * m));

        //new2
        v.add((maxDeg * maxDeg * maxDeg) + (minDeg * minDeg * minDeg) + (Zeta2) - (4 * M21) + (2 * M12) + (4 * m));


        //Eps3
        v.add((maxDeg * maxDeg * maxDeg) + (maxDeg2 * maxDeg2 * maxDeg2) + (Eps3) - (4 * M21) + (2 * M12) + (4 * m));

        //Eps4
        v.add((maxDeg * maxDeg * maxDeg) + (minDeg * minDeg * minDeg) + (Eps4) - (4 * M21) + (2 * M12) + (4 * m));

        //Psi1
        v.add(M31 - (4 * M21) + (2 * maxDeg * maxDeg) + (2 * maxDeg2 * maxDeg2) + (2 * Psi1) + 2 * (M12 - M21 + m) + 2 * m);
        
        //Psi2
        v.add(M31 - (4 * M21) + (2 * maxDeg * maxDeg) + (2 * minDeg * minDeg) + (2 * Psi2) + 2 * (M12 - M21 + m) + 2 * m);
        
        //illc 
        v.add(((2 * m / n) * M21) + (4 * m) + (2 * M12) - (4 * M21));
        //nilanjan de 2
        v.add(Math.pow(M21 - (2 * m), 2) / m);
        //nilanjan de 1
        v.add(4 * m * (minDeg - 1) * (minDeg - 1));
        ret.add(v);
        return ret;
    }

    @Override
    public String getCategory() {
        return "Topological Indices-Conjectures";
    }
}