(**************************************************************************)
(*                                                                        *)
(*  Ocamlgraph: a generic graph library for OCaml                         *)
(*  Copyright (C) 2004-2007                                               *)
(*  Sylvain Conchon, Jean-Christophe Filliatre and Julien Signoles        *)
(*                                                                        *)
(*  This software is free software; you can redistribute it and/or        *)
(*  modify it under the terms of the GNU Library General Public           *)
(*  License version 2, with the special exception on linking              *)
(*  described in file LICENSE.                                            *)
(*                                                                        *)
(*  This software is distributed in the hope that it will be useful,      *)
(*  but WITHOUT ANY WARRANTY; without even the implied warranty of        *)
(*  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.                  *)
(*                                                                        *)
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(* $Id: md.mli,v 1.2 2004-06-28 13:48:25 signoles Exp $ *)

(** Minimum Degree algorithm
  
  Based on the article:
  The Minimum Degree Heuristic and the Minimal Triangulation Process
  by A. Berry, Pinar Heggernes & Geneviève Simonet.
  
  @author Matthieu Sozeau
  @author Pierre-Loic Garoche *)

module P(G : Sig.P) : sig

  type edgeset = (G.V.t * G.V.t) list

  val md : G.t -> G.t * edgeset * G.V.t list
    (** [md g] return a tuple [(g', e, o)] where [g'] is 
      a triangulated graph, [e] is the triangulation of [g] and
      [o] is a perfect elimination order of [g'] *)

  val triangulate : G.t -> G.t
    (** [triangulate g] return the graph [g'] produced by applying 
      miminum degree to [g]. *)

end

module I(G : Sig.I) : sig
  
  type edgeset = (G.V.t * G.V.t) list
	
  val md : G.t -> G.t * edgeset * G.V.t list
    (** [md g] return a tuple [(g', e, o)] where [g'] is 
      a triangulated graph, [e] is the triangulation of [g] and
      [o] is a perfect elimination order of [g'] *)

  val triangulate : G.t -> G.t
    (** [triangulate g] return the graph [g'] produced by applying 
      miminum degree to [g]. *)

end