manual: Add Coloring.

manual.scrbl

@@ -3,7 +3,7 @@
 @(require (for-label (only-in typed/racket
 	  	      require/typed require/typed/provide
 		      Any Boolean Void Sequenceof Listof List U False Number Values
-		      Mutable-HashTable Immutable-HashTable))
+		      Natural HashTable Mutable-HashTable Immutable-HashTable))
   	  (for-label (only-in math/matrix Matrix))
 	  (for-label (only-in graph (matrix-graph? g:matrix-graph?)))
 	  (for-label (only-in data/gen-queue/fifo mk-empty-fifo))
@@ -185,6 +185,18 @@ Graph properties are not supported.
 @defproc[(transitive-closure [g Graph]) (Mutable-HashTable (List Any Any) Boolean)]{}
 @defproc[(johnson [g Graph]) (Mutable-HashTable (List Any Any) Number)]{}
 
+@subsection{Coloring}
+@defproc[(coloring [g Graph]
+		   [num-colors Natural]
+		   [#:order order (-> (Listof Any) (Listof Any)) (λ (x) x)])
+		   (U (Mutable-HashTable Any Number) False)]{}
+@defproc[(coloring/greedy [g Graph]
+			  [#:order order (U (-> (Listof Any) (Listof Any)) 'smallest-last) 'smallest-last])
+	                  (Values Number (Mutable-HashTable Any Number))]{}
+@defproc[(coloring/brelaz [g Graph]) (Mutable-HashTable Any Number)]{}
+@defproc[(order-smallest-last [g Graph]) (Listof Any)]{}
+@defproc[(valid-coloring? [g Graph] [coloring (HashTable Any Number)]) Boolean]{}
+
 @section{License}
 
 Like the generic graph library, this library is licensed under the Apache