Math.Combinatorics.Graph

Synopsis

# Documentation

combinationsOf :: Integral t => t -> [a] -> [[a]]Source

combinationsOf k xs returns the subsets of xs of size k. If xs is in ascending order, then the returned list is in ascending order

data Graph a Source

Datatype for graphs, represented as a list of vertices and a list of edges. Both the list of vertices and the list of edges, and also the 2-element lists representing the edges, are required to be in ascending order, without duplicates.

Constructors

 G [a] [[a]]

Instances

 Eq a => Eq (Graph a) Ord a => Ord (Graph a) Show a => Show (Graph a)

graph :: Ord t => ([t], [[t]]) -> Graph tSource

Safe constructor for graph from lists of vertices and edges. graph (vs,es) checks that vs and es are valid before returning the graph.

c :: Integral t => t -> Graph tSource

c n is the cyclic graph on n vertices

k :: Integral t => t -> Graph tSource

k n is the complete graph on n vertices

fromDigits :: Integral a => Graph [a] -> Graph aSource

Given a graph with vertices which are lists of small integers, eg [1,2,3], return a graph with vertices which are the numbers obtained by interpreting these as digits, eg 123. The caller is responsible for ensuring that this makes sense (eg that the small integers are all < 10)

fromBinary :: Integral a => Graph [a] -> Graph aSource

Given a graph with vertices which are lists of 0s and 1s, return a graph with vertices which are the numbers obtained by interpreting these as binary digits. For example, [1,1,0] -> 6.