Revision as of 05:41, 18 April 2011
(**) Path from one node to another one
Write a function that, given two nodes a and b in a graph, returns all the acyclic paths from a to b.
import List (elem) paths :: Eq a => a -> a -> [(a,a)] -> [[a]] paths a b g = paths1 a b g  paths1 :: Eq a => a -> a -> [(a,a)] -> [a] -> [[a]] paths1 a b g current = paths2 a b g current [ y | (x,y) <- g, x == a ] paths2 :: Eq a => a -> a -> [(a,a)] -> [a] -> [a] -> [[a]] paths2 a b g current  | a == b = [current++[b]] | otherwise =  paths2 a b g current (x:xs) | a == b = [current++[b]] | elem a current =  | otherwise = (paths1 x b g (current++[a])) ++ (paths2 a b g current xs)
paths :: Int -> Int -> [(Int , Int)] -> Int paths start end zs = let (xs,ys) = partition (\(_,z) -> z == end ) zs
in map (++ [ end] ) ( concat . map (\(e, _) -> if e == start then start else paths start e ys) $ xs )
This solution uses a representation of a (directed) graph as a list of arcs (a,b).