Find maximum weight cycle in an undirected graph in swift
Swift program for Find maximum weight cycle in an undirected graph. Here more information.
import Foundation
/*
Swift 4 program for
Maximum weight cycle in an undirected graph
*/
class AjlistNode
{
// Vertices node key
var id: Int;
var weight: Int;
var next: AjlistNode? ;
init(_ id: Int, _ weight: Int)
{
// Set value of node key
self.id = id;
self.weight = weight;
self.next = nil;
}
}
class Vertices
{
var data: Int;
var next: AjlistNode? ;
var last: AjlistNode? ;
init(_ data: Int)
{
self.data = data;
self.next = nil;
self.last = nil;
}
}
class Graph
{
// Number of Vertices
var size: Int;
var result: Int;
var node: [Vertices? ];
init(_ size: Int)
{
// Set value
self.size = size;
self.result = 0;
self.node = Array(repeating: nil, count: size);
self.setData();
}
// Set initial node value
func setData()
{
if (self.size <= 0)
{
print("\nEmpty Graph");
}
else
{
var index: Int = 0;
while (index < self.size)
{
// Set initial node value
self.node[index] = Vertices(index);
index += 1;
}
}
}
func connection(_ start: Int, _ last: Int, _ weight: Int)
{
// Safe connection
let edge: AjlistNode? = AjlistNode(last, weight);
if (self.node[start]!.next == nil)
{
self.node[start]!.next = edge;
}
else
{
// Add edge at the end
self.node[start]!.last!.next = edge;
}
// Get last edge
self.node[start]!.last = edge;
}
// Handling the request of adding new edge
func addEdge(_ start: Int, _ last: Int, _ weight: Int)
{
if (start >= 0 && start < self.size &&
last >= 0 && last < self.size)
{
self.connection(start, last, weight);
if (start == last)
{
return;
}
self.connection(last, start, weight);
}
else
{
// When invalid nodes
print("\nHere Something Wrong");
}
}
func printGraph()
{
if (self.size > 0)
{
var index: Int = 0;
// Print graph ajlist Node value
while (index < self.size)
{
print("\nAdjacency list of vertex " +
String(index) + " :", terminator: "");
var edge: AjlistNode? = self.node[index]!.next;
while (edge != nil)
{
// Display graph node
print(" " + String(self.node[edge!.id]!.data) +
"[" + String(edge!.weight) + "]", terminator: "");
// Visit to next edge
edge = edge!.next;
}
index += 1;
}
}
}
func maximumCycle(_ start: Int, _ last: Int,
_ visit: inout[Bool], _ sum: Int)
{
if (start >= self.size || last >= self.size ||
start < 0 || last < 0 || self.size <= 0)
{
return;
}
if (visit[start] == true)
{
if (start == last && sum > self.result)
{
// When find a new max weight cycle
self.result = sum;
}
return;
}
// Here modified the value of visited node
visit[start] = true;
// This is used to iterate nodes edges
var edge: AjlistNode? = self.node[start]!.next;
while (edge != nil)
{
self.maximumCycle(edge!.id, last,
&visit, sum + (edge!.weight));
// Visit to next edge
edge = edge!.next;
}
// Reset the value of visited node status
visit[start] = false;
}
func maxWeightCycle()
{
if (self.size <= 0)
{
// Empty graph
return;
}
// Auxiliary space which is used to store
// information about visited node
var visit: [Bool] = Array(repeating: false, count: self.size);
self.result = Int.min;
var i: Int = 0;
while (i < self.size)
{
// Check cycle of node i to i
// Here initial cycle weight is zero
self.maximumCycle(i, i, &visit, 0);
i += 1;
}
if (self.result == Int.min)
{
print("\nMax weight cycle : None ");
}
else
{
print("\nMax weight cycle : " + String(self.result));
}
}
static func main(_ args: [String])
{
// 6 implies the number of nodes in graph
let g: Graph = Graph(6);
// Connect node with an edge
// First and second parameter indicate node
// Last parameter is indicate weight
g.addEdge(0, 1, 3);
g.addEdge(0, 3, -3);
g.addEdge(0, 4, 7);
g.addEdge(0, 5, 1);
g.addEdge(1, 2, 11);
g.addEdge(1, 4, 8);
g.addEdge(1, 5, 0);
g.addEdge(2, 3, 1);
g.addEdge(2, 5, 5);
g.addEdge(3, 4, 2);
g.addEdge(4, 5, 8);
// Print graph element
g.printGraph();
// Test
g.maxWeightCycle();
}
}
Graph.main([String]());
Output
Adjacency list of vertex 0 : 1[3] 3[-3] 4[7] 5[1]
Adjacency list of vertex 1 : 0[3] 2[11] 4[8] 5[0]
Adjacency list of vertex 2 : 1[11] 3[1] 5[5]
Adjacency list of vertex 3 : 0[-3] 2[1] 4[2]
Adjacency list of vertex 4 : 0[7] 1[8] 3[2] 5[8]
Adjacency list of vertex 5 : 0[1] 1[0] 2[5] 4[8]
Max weight cycle : 34
Please share your knowledge to improve code and content standard. Also submit your doubts, and test case. We improve by your feedback. We will try to resolve your query as soon as possible.
New Comment