EulerianCycle (Algorithms 4/e)

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 runs in O(E + V) time, and uses O(E + V) extra space, where E is the number of edges and V the number of vertices All other methods take O(1) time.
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 and Description

EulerianCycle(Graph G)
Computes an Eulerian cycle in the specified graph, if one exists.

Method Summary

Methods
Modifier and Type	Method and 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 Object
clone, equals, finalize, 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