\( \newcommand{\E}{\mathrm{E}} \) \( \newcommand{\A}{\mathrm{A}} \) \( \newcommand{\R}{\mathrm{R}} \) \( \newcommand{\N}{\mathrm{N}} \) \( \newcommand{\Q}{\mathrm{Q}} \) \( \newcommand{\Z}{\mathrm{Z}} \) \( \def\ccSum #1#2#3{ \sum_{#1}^{#2}{#3} } \def\ccProd #1#2#3{ \sum_{#1}^{#2}{#3} }\)
CGAL 4.3 - CGAL and the Boost Graph Library
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boost::graph_traits< CGAL::Polyhedron_3< T > > Class Template Reference
Traits Classes

#include <CGAL/boost/graph/graph_traits_Polyhedron_3.h>

Definition

The class graph_traits is a partial specialization of boost::graph_traits for the class CGAL::Polyhedron_3.

It provides the types associated to the graph concepts BidirectionalGraph and EdgeAndVertexListGraph.

The const specialization, boost::graph_traits< CGAL::Polyhedron_3<Traits> const> is also defined, using the constant handles in the polyhedron.

Types

typedef unspecified_type vertex_iterator
 An iterator corresponding to CGAL::Polyhedron_3::Vertex_iterator, with the difference that its value type is a vertex descriptor and not CGAL::Polyhedron_3::Vertex.
 
typedef unspecified_type edge_iterator
 An iterator corresponding to CGAL::Polyhedron_3::Halfedge_iterator with the difference that its value type is an edge descriptor and not CGAL::Polyhedron_3::Halfedge.
 
typedef unspecified_type in_edge_iterator
 An edge iterator which only iterates over the incoming edges around a vertex. More...
 
typedef unspecified_type out_edge_iterator
 An edge iterator which only iterates over the outgoing halfedges around a vertex. More...
 
CGAL::Polyhedron_3::Vertex_handle vertex_descriptor
 The vertex descriptor.
 
CGAL::Polyhedron_3::Halfedge_handle edge_descriptor
 The edge descriptor.
 
boost::disallow_parallel_edge_tag edge_parallel_category
 Indicates that this graph does not support multiedges.
 
boost::bidirectional_graph_tag traversal_category
 Indicates that this graph is bidirectional.
 
Polyhedron_3::size_type vertices_size_type
 The size type of the vertex list.
 
Polyhedron_3::size_type edges_size_type
 The size type of the edge list.
 
Polyhedron_3::size_type degree_size_type
 The size type of the adjacency list.
 

Member Typedef Documentation

template<typename T >
typedef unspecified_type boost::graph_traits< CGAL::Polyhedron_3< T > >::in_edge_iterator

An edge iterator which only iterates over the incoming edges around a vertex.

It corresponds to a CGAL::Polyhedron_3::Halfedge_around_vertex_circulator with the difference that its value type is an edge descriptor and not CGAL::Polyhedron_3::Halfedge.

template<typename T >
typedef unspecified_type boost::graph_traits< CGAL::Polyhedron_3< T > >::out_edge_iterator

An edge iterator which only iterates over the outgoing halfedges around a vertex.

It corresponds to a CGAL::Polyhedron_3::Halfedge_around_vertex_circulator with the difference that its value type is an edge descriptor and not CGAL::Polyhedron_3::Halfedge.