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(**************************************************************************)
(* *)
(* Menhir *)
(* *)
(* François Pottier, INRIA Rocquencourt *)
(* Yann Régis-Gianas, PPS, Université Paris Diderot *)
(* *)
(* Copyright 2005-2008 Institut National de Recherche en Informatique *)
(* et en Automatique. All rights reserved. This file is distributed *)
(* under the terms of the Q Public License version 1.0, with the change *)
(* described in file LICENSE. *)
(* *)
(**************************************************************************)
(* This module provides an implementation of Tarjan's algorithm for
finding the strongly connected components of a graph.
The algorithm runs when the functor is applied. Its complexity is
$O(V+E)$, where $V$ is the number of vertices in the graph $G$, and
$E$ is the number of edges. *)
module Run (G : sig
type node
(* We assume each node has a unique index. Indices must range from
$0$ to $n-1$, where $n$ is the number of nodes in the graph. *)
val n: int
val index: node -> int
(* Iterating over a node's immediate successors. *)
val successors: (node -> unit) -> node -> unit
(* Iterating over all nodes. *)
val iter: (node -> unit) -> unit
end) : sig
open G
(* This function maps each node to a representative element of its strongly connected component. *)
val representative: node -> node
(* This function maps each representative element to a list of all
members of its strongly connected component. Non-representative
elements are mapped to an empty list. *)
val scc: node -> node list
(* [iter action] allows iterating over all strongly connected
components. For each component, the [action] function is applied
to the representative element and to a (non-empty) list of all
elements. *)
val iter: (node -> node list -> unit) -> unit
end
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