HaskellForMaths-0.4.8: Combinatorics, group theory, commutative algebra, non-commutative algebra

Safe HaskellNone
LanguageHaskell98

Math.Algebra.Group.CayleyGraph

Synopsis

Documentation

data Digraph a Source #

Constructors

DG [a] [(a, a)] 

Instances

Eq a => Eq (Digraph a) Source # 

Methods

(==) :: Digraph a -> Digraph a -> Bool #

(/=) :: Digraph a -> Digraph a -> Bool #

Ord a => Ord (Digraph a) Source # 

Methods

compare :: Digraph a -> Digraph a -> Ordering #

(<) :: Digraph a -> Digraph a -> Bool #

(<=) :: Digraph a -> Digraph a -> Bool #

(>) :: Digraph a -> Digraph a -> Bool #

(>=) :: Digraph a -> Digraph a -> Bool #

max :: Digraph a -> Digraph a -> Digraph a #

min :: Digraph a -> Digraph a -> Digraph a #

Show a => Show (Digraph a) Source # 

Methods

showsPrec :: Int -> Digraph a -> ShowS #

show :: Digraph a -> String #

showList :: [Digraph a] -> ShowS #

cayleyDigraphP :: (Num a, Ord a) => [a] -> Digraph a Source #

cayleyGraphP :: (Ord a, Show a) => [Permutation a] -> Graph (Permutation a) Source #

The Cayley graph (undirected) on the generators (and their inverses), for a group given as permutations

cayleyDigraphS :: Ord a => ([a], [([a], [a])]) -> Digraph [a] Source #

cayleyGraphS :: Ord a => ([a], [([a], [a])]) -> Graph [a] Source #

The Cayley graph (undirected) on the generators (and their inverses), for a group given as generators and relations

bubblesort :: Ord t => [t] -> [t] Source #

toTrans :: Ord a => [a] -> [SGen] Source #

inversions :: (Ord t, Enum t, Num t) => Permutation t -> [(t, t)] Source #