Minimum weight cycle in an undirected weighted graph in golang
Go program for Minimum weight cycle in an undirected weighted graph. Here more information.
package main
import "math"
import "fmt"
/*
Go program for
Minimum weight cycle in an undirected graph
*/
type AjlistNode struct {
// Vertices node key
id int
weight int
next * AjlistNode
}
func getAjlistNode(id int, weight int) * AjlistNode {
// return new AjlistNode
return &AjlistNode {
id,
weight,
nil,
}
}
type Vertices struct {
data int
next * AjlistNode
last * AjlistNode
}
func getVertices(data int) * Vertices {
// return new Vertices
return &Vertices {
data,
nil,
nil,
}
}
type Graph struct {
// Number of Vertices
size int
result int
node []*Vertices
}
func getGraph(size int) * Graph {
// return new Graph
var me *Graph = &Graph {size,0,make([]*Vertices, size)}
me.setData()
return me
}
// Set initial node value
func(this *Graph) setData() {
if this.size <= 0 {
fmt.Println("\nEmpty Graph")
} else {
for index := 0 ; index < this.size ; index++ {
// Set initial node value
this.node[index] = getVertices(index)
}
}
}
func(this *Graph) connection(start, last, weight int) {
// Safe connection
var edge * AjlistNode = getAjlistNode(last, weight)
if this.node[start].next == nil {
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
func(this *Graph) addEdge(start, last, weight int) {
if start >= 0 && start < this.size && last >= 0 && last < this.size {
// Connect edge with weight
this.connection(start, last, weight)
this.connection(last, start, weight)
} else {
// When invalid nodes
fmt.Print("\nNode missing (%d,%d)", start, last)
}
}
func(this Graph) printGraph() {
if this.size > 0 {
// Print graph ajlist
for index := 0 ; index < this.size ; index++ {
fmt.Print("\nAdjacency list of vertex ", index, " :")
var edge * AjlistNode = this.node[index].next
for (edge != nil) {
// Display graph node value and weight
fmt.Print(" ", this.node[edge.id].data, "[", edge.weight, "]")
// Visit to next edge
edge = edge.next
}
}
}
}
func(this *Graph) minimumCycle(start int,
last int,
visit[] bool,
sum int,
length int) {
if start >= this.size || last >= this.size ||
start < 0 || last < 0 || this.size <= 0 {
return
}
if visit[start] == true {
// Here length are indicate loop length
if length > 2 && start == last && sum < this.result {
// Here length is indicate number of nodes
// Because graph is undirected so we consider all cycle
// Which contains more than 2 node
// ---------------------
// When find a new min 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
for (edge != nil) {
// Find solution using recursion
this.minimumCycle(
edge.id,
last,
visit,
sum + (edge.weight),
length + 1)
// Visit to next edge
edge = edge.next
}
// Reset the value of visited node status
visit[start] = false
}
func(this *Graph) minWeightCycle() {
if this.size <= 0 {
// Empty graph
return
}
// Auxiliary space which is used to store
// information about visited node
var visit = make([] bool, this.size)
this.result = math.MaxInt64
for i := 0 ; i < this.size ; i++ {
// Check cycle of node i to i
// Here initial cycle weight is zero
this.minimumCycle(i, i, visit, 0, 0)
}
// Display result
fmt.Println("\nMin weight cycle : ", this.result)
}
func main() {
// 6 implies the number of nodes in graph
var g * Graph = getGraph(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(2, 3, 1)
g.addEdge(2, 5, 4)
g.addEdge(3, 4, 2)
g.addEdge(4, 5, 8)
g.addEdge(5, 1, 0)
// Print graph element
g.printGraph()
// Test
g.minWeightCycle()
}
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[4]
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] 2[4] 4[8] 1[0]
Min weight cycle : 3
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