Struct Graph 

pub struct Graph { /* private fields */ }

Undirected graphs.

Implementation of graphs by upper triangular adjacency matrix, reprensented as a boolean vector of length n choose 2.

Implementations

impl Graph

pub fn new(n: usize, edge: &[(usize, usize)]) -> Self

Create a graph on n vertices with edge set edge. The vertices of this graph are 0,...,n-1.

pub fn size(&self) -> usize

Return the number of vertices in the graph

pub fn nbrs(&self, v: usize) -> Vec<usize>

Return the vector of vertices adjacent to v.

pub fn empty(n: usize) -> Self

Create the graph on n vertices with no edge.

pub fn edge(&self, u: usize, v: usize) -> bool

Returns true id uv is an edge.

pub fn edges(&self) -> impl Iterator<Item = (usize, usize)> + '_

Returns an iterator on edges. The edges are represented as couples (u, v) with u < v.

pub fn connected(&self) -> bool

Returns true if the graph is connected.

impl Graph

pub fn petersen() -> Self

pub fn clique(n: usize) -> Self

pub fn cycle(n: usize) -> Self

Trait Implementations

impl Canonize for Graph

fn size(&self) -> usize

Return the number of vertices.

fn invariant_neighborhood(&self, v: usize) -> Vec<Vec<usize>>

Return lists of vertices that are invariant isomorphism.

fn apply_morphism(&self, p: &[usize]) -> Self

Return the result of the action of a permuation p on the object.

fn invariant_coloring(&self) -> Option<Vec<u64>>

Optionally returns a value for each node that is invariant by isomorphism.

fn canonical(&self) -> Self

Computes a canonical form of a combinatorial object.

fn canonical_typed(&self, sigma: usize) -> Self

The “typed” objects refers to the case where only the action of permutations that are constant on 0..sigma are considered.

fn morphism_to_canonical(&self) -> Vec<usize>

Return a permutation p such that self.apply_morphism(&p) = self.canonical().

fn morphism_to_canonical_typed(&self, sigma: usize) -> Vec<usize>

Return a permutation phi such that g.apply_morphism(&phi) = canonical_typed(&g, sigma).

fn automorphisms(&self) -> AutomorphismIterator<Self>

Iterator on the automorphism group of g.

fn stabilizer(&self, sigma: usize) -> AutomorphismIterator<Self>

Iterator on the automorphisms of g that fix the sigma first vertices.

impl Clone for Graph

fn clone(&self) -> Graph

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for Graph

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl<'de> Deserialize<'de> for Graph

fn deserialize<__D>(__deserializer: __D) -> Result<Self, __D::Error>

where __D: Deserializer<'de>,

Deserialize this value from the given Serde deserializer.

impl Display for Graph

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.

impl Draw for Graph

fn draw_with_parameters<C>(&self, col: C, type_size: usize) -> SVG

where C: FnMut(usize) -> usize,

fn draw(&self) -> SVG

fn draw_typed(&self, type_size: usize) -> SVG

fn to_svg_file(&self, filename: &str)

impl Flag for Graph

const NAME: &'static str = "Graph"

A unique name for this type of flags. For instance “Graph”. This nameis used for naming the associated data subdirectory.

fn induce(&self, p: &[usize]) -> Self

Returns the subflag induced by the vertices in the slice set.

fn size_zero_flags() -> Vec<Self>

Returns the set of all flags of size 0.

fn superflags(&self) -> Vec<Self>

Return the list of flags of size self.size() + 1 that contain self as an induced subflag.

const HEREDITARY: bool = true

Setting this parameter to false deactivate checks that induced subflags exists. Must be true in every classic case.

fn generate_next(previous: &[Self]) -> Vec<Self>

Return the list of flags of size self.size() + 1 that contain self as an induced subflag reduced modulo isomorphism.

fn generate(n: usize) -> Vec<Self>

Return the list of flags of size n reduced modulo isomorphism.

fn generate_typed_up(type_flag: &Self, g_vec: &[Self]) -> Vec<Self>

Return the list of flags of g_vec that can be rooted on the flag type_flag. Each different way to root this flag give a different flag in the result.

fn generate_typed(type_flag: &Self, size: usize) -> Vec<Self>

Return the list of flag of size size rooted on type_flag reduced modulo (typed) isomorphism.

fn select_type(&self, eta: &[usize]) -> Self

Reorder self so that the eta.len() first vertices are the values of eta in the corresponding order.

impl Ord for Graph

fn cmp(&self, other: &Graph) -> Ordering

This method returns an Ordering between self and other.

fn max(self, other: Self) -> Self

where Self: Sized,

Compares and returns the maximum of two values.

fn min(self, other: Self) -> Self

where Self: Sized,

Compares and returns the minimum of two values.

fn clamp(self, min: Self, max: Self) -> Self

where Self: Sized,

Restrict a value to a certain interval.

impl PartialEq for Graph

fn eq(&self, other: &Graph) -> bool

Tests for self and other values to be equal, and is used by ==.

fn ne(&self, other: &Rhs) -> bool

Tests for !=. The default implementation is almost always sufficient, and should not be overridden without very good reason.

impl PartialOrd for Graph

fn partial_cmp(&self, other: &Graph) -> Option<Ordering>

This method returns an ordering between self and other values if one exists.

fn lt(&self, other: &Rhs) -> bool

Tests less than (for self and other) and is used by the < operator.

fn le(&self, other: &Rhs) -> bool

Tests less than or equal to (for self and other) and is used by the <= operator.

fn gt(&self, other: &Rhs) -> bool

Tests greater than (for self and other) and is used by the > operator.

fn ge(&self, other: &Rhs) -> bool

Tests greater than or equal to (for self and other) and is used by the >= operator.

impl Serialize for Graph

fn serialize<__S>(&self, __serializer: __S) -> Result<__S::Ok, __S::Error>

where __S: Serializer,

Serialize this value into the given Serde serializer.

impl SubFlag<Graph> for Connected

const SUBCLASS_NAME: &'static str = "Connected graph"

Unique name for the subclass. This is used for naming the memoization directory.

const HEREDITARY: bool = false

fn is_in_subclass(flag: &Graph) -> bool

Identifier function for the subclass.

impl Eq for Graph

impl StructuralPartialEq for Graph