module I: functor (
G
:
Sig.I
) ->
S
with type g = G.t
Basic operations over imperative graphs
type
g
val transitive_closure : ?reflexive:bool -> g -> g
transitive_closure ?reflexive g
returns the transitive closure
of g
(as a new graph). Loops (i.e. edges from a vertex to itself)
are added only if reflexive
is true
(default is false
).
val add_transitive_closure : ?reflexive:bool -> g -> g
add_transitive_closure ?reflexive g
replaces g
by its
transitive closure. Meaningless for persistent implementations
(then acts as transitive_closure
).
val transitive_reduction : ?reflexive:bool -> g -> g
transitive_reduction ?reflexive g
returns the transitive reduction
of g
(as a new graph). Loops (i.e. edges from a vertex to itself)
are removed only if reflexive
is true
(default is false
).
val replace_by_transitive_reduction : ?reflexive:bool -> g -> g
replace_by_transitive_reduction ?reflexive g
replaces g
by its
transitive reduction. Meaningless for persistent implementations
(then acts as transitive_reduction
).
val mirror : g -> g
mirror g
returns a new graph which is the mirror image of g
:
each edge from u
to v
has been replaced by an edge from v
to u
.
For undirected graphs, it simply returns g
.
Note: Vertices are shared between g
and mirror g
; you may need to
make a copy of g
before using mirror
val complement : g -> g
complement g
returns a new graph which is the complement of g
:
each edge present in g
is not present in the resulting graph and
vice-versa. Edges of the returned graph are unlabeled.
val intersect : g -> g -> g
intersect g1 g2
returns a new graph which is the intersection of g1
and g2
: each vertex and edge present in g1
*and* g2
is present
in the resulting graph.
val union : g -> g -> g
union g1 g2
returns a new graph which is the union of g1
and g2
:
each vertex and edge present in g1
*or* g2
is present in the
resulting graph.