## Class EulerianCycle

• Object
• edu.princeton.cs.algs4.EulerianCycle

• ```public class EulerianCycle
extends Object```
The `EulerianCycle` class represents a data type for finding an Eulerian cycle or path in a graph. An Eulerian cycle is a cycle (not necessarily simple) that uses every edge in the graph exactly once.

This implementation uses a nonrecursive depth-first search. The constructor takes Θ(E + V) time in the worst case, where E is the number of edges and V is the number of vertices Each instance method takes Θ(1) time. It uses Θ(E + V) extra space in the worst case (not including the graph).

To compute Eulerian paths in graphs, see `EulerianPath`. To compute Eulerian cycles and paths in digraphs, see `DirectedEulerianCycle` and `DirectedEulerianPath`.

For additional documentation, see Section 4.1 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.

Author:
Robert Sedgewick, Kevin Wayne, Nate Liu
• ### Constructor Summary

Constructors
Constructor Description
`EulerianCycle​(Graph G)`
Computes an Eulerian cycle in the specified graph, if one exists.
• ### Method Summary

All Methods
Modifier and Type Method Description
`Iterable<Integer>` `cycle()`
Returns the sequence of vertices on an Eulerian cycle.
`boolean` `hasEulerianCycle()`
Returns true if the graph has an Eulerian cycle.
`static void` `main​(String[] args)`
Unit tests the `EulerianCycle` data type.
• ### Methods inherited from class java.lang.Object

`clone, equals, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait`
• ### Constructor Detail

• #### EulerianCycle

`public EulerianCycle​(Graph G)`
Computes an Eulerian cycle in the specified graph, if one exists.
Parameters:
`G` - the graph
• ### Method Detail

• #### cycle

`public Iterable<Integer> cycle()`
Returns the sequence of vertices on an Eulerian cycle.
Returns:
the sequence of vertices on an Eulerian cycle; `null` if no such cycle
• #### hasEulerianCycle

`public boolean hasEulerianCycle()`
Returns true if the graph has an Eulerian cycle.
Returns:
`true` if the graph has an Eulerian cycle; `false` otherwise
• #### main

`public static void main​(String[] args)`
Unit tests the `EulerianCycle` data type.
Parameters:
`args` - the command-line arguments