EulerIt< GR > Class Template Reference

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Detailed Description

template<typename GR>
class lemon::EulerIt< GR >

This iterator provides an Euler tour (Eulerian circuit) of an undirected graph (if there exists) and it converts to the Arc and Edge types of the graph.

For example, if the given graph has an Euler tour (i.e it has only one non-trivial component and the degree of each node is even), the following code will print the arc IDs according to an Euler tour of g.

       for(EulerIt<ListGraph> e(g); e!=INVALID; ++e) {
         std::cout << g.id(Edge(e)) << std::eol;
       }

Although this iterator is for undirected graphs, it still returns arcs in order to indicate the direction of the tour. (But arcs convert to edges, of course.)

If g has no Euler tour, then the resulted walk will not be closed or not contain all edges.

#include <lemon/euler.h>

List of all members.

Public Member Functions
	EulerIt (const GR &gr, typename GR::Node start=INVALID)
	Constructor.
	operator Arc () const
	Arc conversion.
	operator Edge () const
	Edge conversion.
bool	operator== (Invalid) const
	Compare with INVALID.
bool	operator!= (Invalid) const
	Compare with INVALID.
EulerIt &	operator++ ()
	Next arc of the tour.
Arc	operator++ (int)
	Postfix incrementation.

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Constructor & Destructor Documentation

EulerIt	(	const GR &	gr,
		typename GR::Node	start = INVALID
	)		[inline]

Constructor.

Parameters:

gr	A graph.
start	The starting point of the tour. If it is not given, the tour will start from the first node that has an incident edge.

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Member Function Documentation

EulerIt& operator++

(

)

[inline]

Next arc of the tour

Arc operator++

(

int

)

[inline]

Postfix incrementation.

Warning:

This incrementation returns an Arc (which converts to an Edge), not an EulerIt, as one may expect.