Package edu.princeton.cs.algs4
Class DirectedEulerianCycle
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- edu.princeton.cs.algs4.DirectedEulerianCycle
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public class DirectedEulerianCycle extends Object
TheDirectedEulerianCycle
class represents a data type for finding an Eulerian cycle or path in a digraph. An Eulerian cycle is a cycle (not necessarily simple) that uses every edge in the digraph 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(V) extra space (not including the digraph).
To compute Eulerian paths in digraphs, see
DirectedEulerianPath
. To compute Eulerian cycles and paths in undirected graphs, seeEulerianCycle
andEulerianPath
.For additional documentation, see Section 4.2 of Algorithms, 4th Edition by Robert Sedgewick and Kevin Wayne.
- Author:
- Robert Sedgewick, Kevin Wayne, Nate Liu
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Constructor Summary
Constructors Constructor Description DirectedEulerianCycle(Digraph G)
Computes an Eulerian cycle in the specified digraph, if one exists.
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Method Summary
All Methods Static Methods Instance Methods Concrete Methods Modifier and Type Method Description Iterable<Integer>
cycle()
Returns the sequence of vertices on an Eulerian cycle.boolean
hasEulerianCycle()
Returns true if the digraph has an Eulerian cycle.static void
main(String[] args)
Unit tests theDirectedEulerianCycle
data type.
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Constructor Detail
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DirectedEulerianCycle
public DirectedEulerianCycle(Digraph G)
Computes an Eulerian cycle in the specified digraph, if one exists.- Parameters:
G
- the digraph
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Method Detail
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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
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hasEulerianCycle
public boolean hasEulerianCycle()
Returns true if the digraph has an Eulerian cycle.- Returns:
true
if the digraph has an Eulerian cycle;false
otherwise
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main
public static void main(String[] args)
Unit tests theDirectedEulerianCycle
data type.- Parameters:
args
- the command-line arguments
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