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@VegaFromLyra
Created July 15, 2015 22:41
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Clone a graph
using System;
using System.Collections.Generic;
// Given a graph, create a deep copy of that graph
// Time: O(e * n), e - number of edges, n - number of vertices/nodes
// Space: O(n), n is number of nodes
namespace CloneGraph
{
public class Program
{
static Dictionary<Node, Node> copiedNodes = new Dictionary<Node, Node>();
public static void Main(string[] args)
{
Node a = new Node(1);
Node b = new Node(2);
Node c = new Node(3);
Node d = new Node(4);
a.Neighbors.Add(b);
a.Neighbors.Add(c);
b.Neighbors.Add(d);
b.Neighbors.Add(a);
c.Neighbors.Add(d);
c.Neighbors.Add(a);
d.Neighbors.Add(b);
d.Neighbors.Add(c);
Console.WriteLine("Original graph is");
display(a);
// Reset the visited state
reset(a);
var clonedA = clone(a);
Console.WriteLine("Cloned graph is");
display(clonedA);
}
static void reset(Node n) {
if (n == null || !n.IsVisited) {
return;
}
n.IsVisited = false;
foreach(var neighbor in n.Neighbors) {
reset(neighbor);
}
}
static Node clone(Node n) {
if (n == null) {
return null;
}
if (n.IsVisited) {
return copiedNodes[n];
}
n.IsVisited = true;
var copyNode = deepCopy(n);
foreach (var neighbor in n.Neighbors) {
copyNode.Neighbors.Add(clone(neighbor));
}
return copyNode;
}
static void display(Node n) {
if (n == null || n.IsVisited) {
return;
}
n.IsVisited = true;
Console.WriteLine(n.Data);
foreach(var neighbor in n.Neighbors) {
display(neighbor);
}
}
static Node deepCopy(Node n) {
if (copiedNodes.ContainsKey(n)) {
return copiedNodes[n];
}
var copyNode = new Node(n.Data);
copiedNodes.Add(n, copyNode);
return copyNode;
}
}
class Node {
public Node(int data) {
Data = data;
Neighbors = new List<Node>();
}
public int Data { get; private set; }
public List<Node> Neighbors;
public bool IsVisited { get; set; }
}
}
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