Skip to main content

ExpanderChecker

Struct ExpanderChecker 

Source
pub struct ExpanderChecker {
    pub graph: UndirectedGraph,
}
Expand description

Checks expansion properties of a graph using an approximation of the Cheeger constant.

The Cheeger constant h(G) = min_{S: 0<|S|≤n/2} |∂S| / |S|. This checker approximates it by trying all subsets up to a given size limit.

Fields§

§graph: UndirectedGraph

The underlying undirected graph.

Implementations§

Source§

impl ExpanderChecker

Source

pub fn new(graph: UndirectedGraph) -> Self

Create from an existing undirected graph.

Source

pub fn edge_boundary(&self, subset: &[usize]) -> usize

Compute the edge boundary |∂S| = edges with exactly one endpoint in S.

Source

pub fn approximate_cheeger(&self) -> f64

Approximate Cheeger constant: try all subsets of size 1..=n/2 (only feasible for small n). Returns the approximate h(G) as a rational approximation (boundary/size).

Source

pub fn is_expander(&self, threshold: f64) -> bool

Returns true if the graph is an h-vertex expander: h(G) ≥ threshold.

Auto Trait Implementations§

Blanket Implementations§

Source§

impl<T> Any for T
where T: 'static + ?Sized,

Source§

fn type_id(&self) -> TypeId

Gets the TypeId of self. Read more
Source§

impl<T> Borrow<T> for T
where T: ?Sized,

Source§

fn borrow(&self) -> &T

Immutably borrows from an owned value. Read more
Source§

impl<T> BorrowMut<T> for T
where T: ?Sized,

Source§

fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
Source§

impl<T> From<T> for T

Source§

fn from(t: T) -> T

Returns the argument unchanged.

Source§

impl<T, U> Into<U> for T
where U: From<T>,

Source§

fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

Source§

impl<T, U> TryFrom<U> for T
where U: Into<T>,

Source§

type Error = Infallible

The type returned in the event of a conversion error.
Source§

fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
Source§

impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

Source§

type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
Source§

fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.