Gudhi::Toplex_map Class Reference

Toplex map data structure for representing unfiltered simplicial complexes. More...

Public Types
using	Vertex = std::size_t
using	Simplex = std::set< Vertex >
using	Simplex_ptr = std::shared_ptr< Toplex_map::Simplex >
using	Simplex_ptr_set = std::unordered_set< Toplex_map::Simplex_ptr, Sptr_hash, Sptr_equal >

Public Member Functions
template<typename Input_vertex_range >
void	insert_simplex (const Input_vertex_range &vertex_range)
	Adds the given simplex to the complex. Nothing happens if the simplex is already in the complex (i.e. it is a face of one of the toplices).
template<typename Input_vertex_range >
void	remove_simplex (const Input_vertex_range &vertex_range)
	Removes the given simplex and its cofaces from the complex. Its faces are kept inside.
template<typename Input_vertex_range >
bool	membership (const Input_vertex_range &vertex_range) const
template<typename Input_vertex_range >
bool	maximality (const Input_vertex_range &vertex_range) const
template<typename Input_vertex_range >
Toplex_map::Simplex_ptr_set	maximal_cofaces (const Input_vertex_range &vertex_range, const std::size_t max_number=0) const
Toplex_map::Simplex_ptr_set	maximal_simplices (const std::size_t max_number=0) const
Vertex	contraction (const Vertex x, const Vertex y)
void	remove_vertex (const Vertex x)
std::size_t	num_maximal_simplices () const
	Number of maximal simplices.
std::size_t	num_vertices () const
	Number of vertices.
template<typename Input_vertex_range >
void	insert_independent_simplex (const Input_vertex_range &vertex_range)

Detailed Description

Toplex map data structure for representing unfiltered simplicial complexes.

A Toplex_map is an unordered map from vertices to maximal simplices (aka. toplices).

Examples

simple_toplex_map.cpp.

Member Typedef Documentation

Simplex

using Gudhi::Toplex_map::Simplex = std::set<Vertex>

Simplex is the type of simplices.

Examples

simple_toplex_map.cpp.

Simplex_ptr

using Gudhi::Toplex_map::Simplex_ptr = std::shared_ptr<Toplex_map::Simplex>

The type of the pointers to maximal simplices.

Simplex_ptr_set

using Gudhi::Toplex_map::Simplex_ptr_set = std::unordered_set<Toplex_map::Simplex_ptr, Sptr_hash, Sptr_equal>

The type of the sets of Toplex_map::Simplex_ptr.

Vertex

using Gudhi::Toplex_map::Vertex = std::size_t

Vertex is the type of vertices.

Member Function Documentation

contraction()

Toplex_map::Vertex Gudhi::Toplex_map::contraction	(	const Vertex	x,
		const Vertex	y
	)

Contracts one edge in the complex. The edge has to verify the link condition if you want to preserve topology. Returns the remaining vertex.

Examples

simple_toplex_map.cpp.

insert_independent_simplex()

template<typename Input_vertex_range >

void Gudhi::Toplex_map::insert_independent_simplex

(

const Input_vertex_range &

vertex_range

)

Adds the given simplex to the complex. The simplex must not be in the complex already, and it must not contain one of the current toplices.

maximal_cofaces()

template<typename Input_vertex_range >

Toplex_map::Simplex_ptr_set Gudhi::Toplex_map::maximal_cofaces	(	const Input_vertex_range &	vertex_range,
		const std::size_t	max_number = 0
	)		const

Gives a set of pointers to the maximal cofaces of a simplex. Gives all the toplices if given the empty simplex. Gives not more than max_number maximal cofaces if max_number is strictly positive.

Examples

simple_toplex_map.cpp.

maximal_simplices()

Toplex_map::Simplex_ptr_set Gudhi::Toplex_map::maximal_simplices ( const std::size_t  max_number = 0 ) const

inline

Gives a set of pointers to the maximal simplices. Gives not more than max_number maximal cofaces if max_number is strictly positive.

Examples

simple_toplex_map.cpp.

maximality()

template<typename Input_vertex_range >

bool Gudhi::Toplex_map::maximality

(

const Input_vertex_range &

vertex_range

)

const

Does a simplex is a toplex ?

membership()

template<typename Input_vertex_range >

bool Gudhi::Toplex_map::membership

(

const Input_vertex_range &

vertex_range

)

const

Does a simplex belong to the complex ?

Examples

simple_toplex_map.cpp.

remove_vertex()

void Gudhi::Toplex_map::remove_vertex

(

const Vertex

x

)

Remove the vertex and all its cofaces from the complex.

Examples

simple_toplex_map.cpp.

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The documentation for this class was generated from the following file:

• include/gudhi/Toplex_map.h