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module Xanthous.Util.Graph where
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import Xanthous.Prelude
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import Data.Graph.Inductive.Query.MST (msTree)
import qualified Data.Graph.Inductive.Graph as Graph
import Data.Graph.Inductive.Graph
import Data.Graph.Inductive.Basic (undir)
import Data.Set (isSubsetOf)
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mstSubGraph
:: forall gr node edge. (DynGraph gr, Real edge, Show edge)
=> gr node edge -> gr node edge
mstSubGraph graph = insEdges mstEdges . insNodes (labNodes graph) $ Graph.empty
where
mstEdges = ordNub $ do
LP path <- msTree $ undir graph
case path of
[] -> []
[_] -> []
((n₂, edgeWeight) : (n₁, _) : _) ->
pure (n₁, n₂, edgeWeight)
isSubGraphOf
:: (Graph gr1, Graph gr2, Ord node, Ord edge)
=> gr1 node edge
-> gr2 node edge
-> Bool
isSubGraphOf graph₁ graph₂
= setFromList (labNodes graph₁) `isSubsetOf` setFromList (labNodes graph₂)
&& setFromList (labEdges graph₁) `isSubsetOf` setFromList (labEdges graph₂)
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