Find maximum weight cycle in an undirected graph in kotlin
Kotlin program for Find maximum weight cycle in an undirected graph. Here problem description and explanation.
/*
Kotlin program for
Maximum weight cycle in an undirected graph
*/
class AjlistNode
{
// Vertices node key
var id: Int;
var weight: Int;
var next: AjlistNode ? ;
constructor(id: Int, weight: Int)
{
// Set value of node key
this.id = id;
this.weight = weight;
this.next = null;
}
}
class Vertices
{
var data: Int;
var next: AjlistNode ? ;
var last: AjlistNode ? ;
constructor(data: Int)
{
this.data = data;
this.next = null;
this.last = null;
}
}
class Graph
{
// Number of Vertices
var size: Int;
var result: Int;
var node: Array < Vertices ? > ;
constructor(size: Int)
{
// Set value
this.size = size;
this.result = 0;
this.node = Array(size)
{
null
};
this.setData();
}
// Set initial node value
fun setData(): Unit
{
if (this.size <= 0)
{
println("\nEmpty Graph");
}
else
{
var index: Int = 0;
while (index < this.size)
{
// Set initial node value
this.node[index] = Vertices(index);
index += 1;
}
}
}
fun connection(start: Int, last: Int, weight: Int): Unit
{
// Safe connection
var edge: AjlistNode ? = AjlistNode(last, weight);
if (this.node[start]?.next == null)
{
this.node[start]?.next = edge;
}
else
{
// Add edge at the end
this.node[start]?.last?.next = edge;
}
// Get last edge
this.node[start]?.last = edge;
}
// Handling the request of adding new edge
fun addEdge(start: Int, last: Int, weight: Int): Unit
{
if (start >= 0 && start < this.size &&
last >= 0 && last < this.size)
{
this.connection(start, last, weight);
if (start == last)
{
return;
}
this.connection(last, start, weight);
}
else
{
// When invalid nodes
println("\nHere Something Wrong");
}
}
fun printGraph(): Unit
{
if (this.size > 0)
{
var index: Int = 0;
// Print graph ajlist Node value
while (index < this.size)
{
print("\nAdjacency list of vertex " + index + " :");
var edge: AjlistNode ? = this.node[index]?.next;
while (edge != null)
{
// Display graph node
print(" " + this.node[edge.id]?.data + "[" +
edge.weight + "]");
// Visit to next edge
edge = edge.next;
}
index += 1;
}
}
}
fun maximumCycle(start: Int, last: Int, visit: Array < Boolean > , sum: Int): Unit
{
if (start >= this.size || last >= this.size ||
start < 0 || last < 0 || this.size <= 0)
{
return;
}
if (visit[start] == true)
{
if (start == last && sum > this.result)
{
// When find a new max weight cycle
this.result = sum;
}
return;
}
// Here modified the value of visited node
visit[start] = true;
// This is used to iterate nodes edges
var edge: AjlistNode ? = this.node[start]?.next;
while (edge != null)
{
this.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;
}
fun maxWeightCycle(): Unit
{
if (this.size <= 0)
{
// Empty graph
return;
}
// Auxiliary space which is used to store
// information about visited node
val visit: Array < Boolean > = Array(this.size)
{
false
};
this.result = Int.MIN_VALUE;
var i: Int = 0;
while (i < this.size)
{
// Check cycle of node i to i
// Here initial cycle weight is zero
this.maximumCycle(i, i, visit, 0);
i += 1;
}
if (this.result == Int.MIN_VALUE)
{
println("\nMax weight cycle : None ");
}
else
{
println("\nMax weight cycle : " + this.result);
}
}
}
fun main(args: Array < String > ): Unit
{
// 6 implies the number of nodes in graph
val 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();
}
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