Add 'users/glittershark/xanthous/' from commit '53b56744f4'

git-subtree-dir: users/glittershark/xanthous
git-subtree-mainline: 91f53f02d8
git-subtree-split: 53b56744f4

users/glittershark/xanthous/src/Xanthous/Util/Graph.hs

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+--------------------------------------------------------------------------------
+module Xanthous.Util.Graph where
+--------------------------------------------------------------------------------
+import           Xanthous.Prelude
+--------------------------------------------------------------------------------
+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)
+--------------------------------------------------------------------------------
+
+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)