mirror of
https://github.com/TheAlgorithms/Java.git
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Created Graph Algos
it contains Dijkstra, Prims, dft, bft, dfs, bfs and many more.
This commit is contained in:
Ritik2604
437
DataStructures/Graphs/GraphAlgos
Normal file
437
DataStructures/Graphs/GraphAlgos
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@ -0,0 +1,437 @@
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import java.util.ArrayList;
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import java.util.HashMap;
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import java.util.LinkedList;
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import Heaps.GenericHeap;
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public class Graph {
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private class vertex{
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HashMap<String,Integer> nbrs=new HashMap<>();
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}
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HashMap<String,vertex> vertcs;
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public Graph(){
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vertcs=new HashMap<>();
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}
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public int numVertex() {
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return this.vertcs.size();
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}
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public boolean containsVertex(String vname) {
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return this.vertcs.containsKey(vname);
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}
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public void addVertex(String vname) {
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vertex vtx=new vertex();
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this.vertcs.put(vname,vtx);
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}
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public void removeVertex(String vname) {
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vertex vtx=this.vertcs.get(vname);
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ArrayList<String> keys=new ArrayList<>(vtx.nbrs.keySet());
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for(String key:keys) {
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vertex nbrvtx=this.vertcs.get(key);
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nbrvtx.nbrs.remove(vname);
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}
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this.vertcs.remove(vname);
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}
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public int numEdge() {
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int count=0;
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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vertex vtx=this.vertcs.get(key);
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count+=vtx.nbrs.size();
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}
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return count/2;
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}
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public boolean containsEdge(String vname1,String vname2) {
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vertex vtx1=this.vertcs.get(vname1);
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vertex vtx2=this.vertcs.get(vname2);
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if(vtx1==null||vtx2==null||!vtx1.nbrs.containsKey(vname2))
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return false;
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return true;
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}
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public void addEdge(String vname1,String vname2,int cost) {
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vertex vtx1=this.vertcs.get(vname1);
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vertex vtx2=this.vertcs.get(vname2);
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if(vtx1==null||vtx2==null||vtx1.nbrs.containsKey(vname2))
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return;
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vtx1.nbrs.put(vname2,cost);
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vtx2.nbrs.put(vname1,cost);
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}
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public void removeEdge(String vname1,String vname2) {
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vertex vtx1=this.vertcs.get(vname1);
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vertex vtx2=this.vertcs.get(vname2);
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if(vtx1==null||vtx2==null||!vtx1.nbrs.containsKey(vname2))
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return;
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vtx1.nbrs.remove(vname2);
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vtx2.nbrs.remove(vname1);
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}
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public void display() {
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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vertex vtx=this.vertcs.get(key);
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System.out.println(key+" := "+vtx.nbrs);
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}
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}
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public boolean hasPath(String source ,String dest,HashMap<String,Boolean> processed) {
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processed.put(source, true);
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if(containsEdge(source,dest)) {
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return true;
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}
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vertex vtx=this.vertcs.get(source);
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ArrayList<String> keys=new ArrayList<>(vtx.nbrs.keySet());
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for(String key:keys) {
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if(!processed.containsKey(key) && hasPath(key,dest,processed))
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return true;
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}
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return false;
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}
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private class pair{
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String vname;
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String psf;
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}
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public boolean bfs(String source,String dest) { // breadth first search
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> queue=new LinkedList<>();
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pair sp=new pair();
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sp.vname=source;
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sp.psf=source;
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queue.addLast(sp);
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while(!queue.isEmpty()) {
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pair rp=queue.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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if(containsEdge(rp.vname,dest)) {
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System.out.println(rp.psf+dest);
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return true;
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}
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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queue.addLast(np);
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}
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}
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}
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return false;
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}
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public boolean dfs(String source,String dest) { //deapth first search
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LinkedList<pair> stack=new LinkedList<>();
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HashMap<String,Boolean> processed=new HashMap<>();
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pair sp=new pair();
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sp.vname=source;
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sp.psf=source;
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stack.addFirst(sp);
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while(!stack.isEmpty()) {
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pair rp=stack.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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if(containsEdge(rp.vname,dest)) {
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System.out.println(rp.psf+dest);
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return true;
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}
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String > nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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stack.addFirst(np);
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}
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}
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}
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return false;
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}
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public void bft() { //breadth first traversal
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> queue=new LinkedList<>();
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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if(processed.containsKey(key))
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continue;
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pair sp=new pair();
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sp.vname=key;
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sp.psf=key;
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queue.addLast(sp);
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while(!queue.isEmpty()) {
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pair rp=queue.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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System.out.println(rp.vname+" via "+rp.psf);
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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queue.addLast(np);
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}
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}
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}
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}
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}
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public void dft() { //deapt first traversal
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> stack=new LinkedList<>();
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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pair sp=new pair();
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sp.vname=key;
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sp.psf=key;
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stack.addFirst(sp);
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while(!stack.isEmpty()) {
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pair rp=stack.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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System.out.println(rp.vname+" via "+rp.psf);
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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stack.addFirst(np);
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}
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}
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}
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}
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}
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public boolean isCyclic() {
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> queue=new LinkedList<>();
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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if(processed.containsKey(key))
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continue;
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pair sp=new pair();
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sp.vname=key;
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sp.psf=key;
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queue.addLast(sp);
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while(!queue.isEmpty()) {
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pair rp=queue.removeFirst();
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if(processed.containsKey(rp.vname))
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return true;
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processed.put(rp.vname,true);
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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queue.addLast(np);
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}
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}
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}
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}
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return false;
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}
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public boolean isConnected() {
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int flag=0;
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> queue=new LinkedList<>();
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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if(processed.containsKey(key))
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continue;
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flag++;
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pair sp=new pair();
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sp.vname=key;
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sp.psf=key;
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queue.addLast(sp);
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while(!queue.isEmpty()) {
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pair rp=queue.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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queue.addLast(np);
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}
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}
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}
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}
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if(flag>=2)
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return false;
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else
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return true;
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}
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public boolean isTree() {
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return !isCyclic()&&isConnected();
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}
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public ArrayList<ArrayList<String>> getConnectedComp() {
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ArrayList<ArrayList<String>> ans=new ArrayList<>();
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HashMap<String ,Boolean> processed=new HashMap<>();
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LinkedList<pair> queue=new LinkedList<>();
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ArrayList<String> keys=new ArrayList<>(this.vertcs.keySet());
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for(String key:keys) {
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if(processed.containsKey(key))
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continue;
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ArrayList<String> subans=new ArrayList<>();
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pair sp=new pair();
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sp.vname=key;
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sp.psf=key;
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queue.addLast(sp);
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while(!queue.isEmpty()) {
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pair rp=queue.removeFirst();
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if(processed.containsKey(rp.vname))
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continue;
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processed.put(rp.vname,true);
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subans.add(rp.vname);
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vertex vtx=this.vertcs.get(rp.vname);
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ArrayList<String> nbrs=new ArrayList<>(vtx.nbrs.keySet());
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for(String nbr:nbrs) {
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if(!processed.containsKey(nbr)) {
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pair np=new pair();
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np.vname=nbr;
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np.psf=rp.psf+nbr;
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queue.addLast(np);
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}
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}
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}
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ans.add(subans);
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}
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return ans;
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}
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private class PrimsPair implements Comparable<PrimsPair>{
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String vname;
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String acqvname;
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int cost;
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public int compareTo(PrimsPair o) {
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return o.cost-this.cost;
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}
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}
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public Graph prims() {
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HashMap<String ,PrimsPair> map=new HashMap<>();
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GenericHeap<PrimsPair> heap=new GenericHeap<>();
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Graph mst=new Graph();
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for(String vrtx:this.vertcs.keySet()) {
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PrimsPair np=new PrimsPair();
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np.acqvname=null;
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np.vname=vrtx;
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np.cost=Integer.MAX_VALUE;
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heap.add(np);
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map.put(vrtx, np);
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}
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while(!heap.isEmpty()) {
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PrimsPair rp=heap.remove();
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map.remove(rp.vname);
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if(rp.acqvname==null) {
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mst.addVertex(rp.vname);
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}else {
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mst.addVertex(rp.vname);
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mst.addEdge(rp.vname, rp.acqvname, rp.cost);
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}
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for(String nbr:this.vertcs.get(rp.vname).nbrs.keySet()) {
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if(map.containsKey(nbr)) {
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//old cost that is from diff path stored in map
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int oc=map.get(nbr).cost;
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// cost that present vname need cost to go to nbr
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int nc=this.vertcs.get(rp.vname).nbrs.get(nbr);
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if(nc<oc) {
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PrimsPair gp=map.get(nbr);
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gp.acqvname=rp.vname;
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gp.cost=nc;
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heap.updatePriority(gp);
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}
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}
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}
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}
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return mst;
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}
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private class DijktsraPair implements Comparable<DijktsraPair>{
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String vname;
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String psf;
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int cost;
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public int compareTo(DijktsraPair o) {
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return o.cost-this.cost;
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}
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}
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public HashMap<String,Integer> Dijktsra(String source) {
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HashMap<String ,DijktsraPair> map=new HashMap<>();
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GenericHeap<DijktsraPair> heap=new GenericHeap<>();
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HashMap<String,Integer> ans =new HashMap<>();
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for(String vrtx:this.vertcs.keySet()) {
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DijktsraPair np=new DijktsraPair();
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np.psf="";
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np.vname=vrtx;
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np.cost=Integer.MAX_VALUE;
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if(vrtx==source) {
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np.cost=0;
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np.psf=source;
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}
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heap.add(np);
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map.put(vrtx, np);
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}
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while(!heap.isEmpty()) {
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DijktsraPair rp=heap.remove();
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map.remove(rp.vname);
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ans.put(rp.vname,rp.cost);
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for(String nbr:this.vertcs.get(rp.vname).nbrs.keySet()) {
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if(map.containsKey(nbr)) {
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//old cost that is from diff path stored in map
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int oc=map.get(nbr).cost;
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// cost that present vname need cost to go to nbr
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int nc=rp.cost+this.vertcs.get(rp.vname).nbrs.get(nbr);
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if(nc<oc) {
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DijktsraPair gp=map.get(nbr);
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gp.psf=rp.psf+nbr;
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gp.cost=nc;
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heap.updatePriority(gp);
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}
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}
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}
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}
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return ans;
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}
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}
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